Metrics for normal distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze23.0ms (0.2%)

Memory

-3.5MiB live, 32.1MiB 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 23 computations (34.3% saved)

sample1.9s (20%)

Memory

76.7MiB live, 1 544.6MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 451.0ms (36.9% of total)

ival-<=: 288.0ms (23.5% of total)

ival-log: 128.0ms (10.5% of total)

ival-cosu: 90.0ms (7.4% of total)

ival-add: 87.0ms (7.1% of total)

ival-div: 78.0ms (6.4% of total)

ival-sqrt: 54.0ms (4.4% of total)

ival-and: 22.0ms (1.8% of total)

exact: 21.0ms (1.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain310.0ms (3.3%)

Memory

9.0MiB live, 247.3MiB 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

118.0ms

512×

valid

Compiler

Compiled 189 to 58 computations (69.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 19.0ms (39% of total)

ival-log: 7.0ms (14.4% of total)

ival-cosu: 6.0ms (12.3% of total)

ival-sqrt: 6.0ms (12.3% of total)

ival-div: 4.0ms (8.2% of total)

ival-add: 3.0ms (6.2% of total)

ival-pi: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess28.0ms (0.3%)

Memory

-6.1MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs u2)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 19 to 18 computations (5.3% saved)

simplify5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize69.0ms (0.7%)

Memory

-3.0MiB live, 41.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(+.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	0.12109375	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.2734375	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.390625	(.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

57.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

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

ival-mult: 33.0ms (72.1% of total)

ival-cosu: 3.0ms (6.6% of total)

ival-log: 3.0ms (6.6% of total)

ival-div: 2.0ms (4.4% of total)

ival-sqrt: 2.0ms (4.4% of total)

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

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

exact: 1.0ms (2.2% of total)

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

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

series122.0ms (1.3%)

Memory

7.1MiB live, 118.0MiB 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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#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 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#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 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#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>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor inf u2) (#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 inf u2) (#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 inf u2) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor -inf u2) (#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 -inf u2) (#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 -inf u2) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor -inf u2) (#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 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor -inf u2) (#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 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor -inf u2) (#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 (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	u1	@	-inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
32.0ms	u1	@	0	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
14.0ms	u2	@	inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
9.0ms	u1	@	inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
7.0ms	u2	@	-inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))

simplify359.0ms (3.9%)

Memory

20.5MiB live, 316.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1292
1	204	1260
2	622	1232
3	2194	1204
4	2796	1198
5	3921	1198
6	5359	1198
7	5488	1198
8	5550	1198
9	5568	1198
10	5574	1198
11	5574	1198
0	8002	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))
(+ 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 (* (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)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 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))))))
(* 1/6 (* (* (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 (* (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))))
(* (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 -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))))))))
(* 1/6 (* (* (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 -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (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))))))))))
(* 1/6 (* (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)))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))

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

rewrite177.0ms (1.9%)

Memory

-42.5MiB live, 138.4MiB allocated

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
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eval103.0ms (1.1%)

Memory: -1.2MiB live, 37.5MiB allocated
Compiler: Compiled 7 678 to 723 computations (90.6% saved)

prune111.0ms (1.2%)

Memory

-0.0MiB live, 39.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

100.0%

Counts

261 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.9%	(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
	99.2%	(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
	98.9%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
▶	99.1%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	98.6%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
▶	99.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.4%	(+.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 (.f64 u2 #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.0%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (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))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	98.9%	(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
▶	0.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))

Compiler

Compiled 996 to 668 computations (32.9% saved)

simplify127.0ms (1.4%)

Memory

31.6MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
cost-diff	128	(neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))
cost-diff	320	(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
cost-diff	960	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
cost-diff	0	(pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	675
0	117	685
1	210	655
2	445	648
3	1696	648
4	4408	648
5	6194	648
0	8037	636

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

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

localize193.0ms (2.1%)

Memory

8.1MiB live, 323.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	61.99849058512738	(PI.f64)
accuracy	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	61.99849058512738	(PI.f64)
accuracy	0	(*.f64 #s(literal 2 binary64) (PI.f64))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.99849058512738	(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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
accuracy	61.99849058512738	(PI.f64)

Samples

141.0ms

256×

invalid

Compiler

Compiled 670 to 64 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 28.0ms (30% of total)

ival-sqrt: 11.0ms (11.8% of total)

const: 9.0ms (9.6% of total)

ival-add: 8.0ms (8.6% of total)

ival-pow: 8.0ms (8.6% of total)

ival-div: 6.0ms (6.4% of total)

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

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

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

ival-cos: 3.0ms (3.2% of total)

ival-neg: 3.0ms (3.2% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series213.0ms (2.3%)

Memory

-30.5MiB live, 217.8MiB allocated

Counts

27 → 420

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) (patch (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
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#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
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#s(alt (log.f64 u1) (patch (log.f64 u1) #<representation binary64>) () ())
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Outputs
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #<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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #<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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #<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)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (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 #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	u1	@	0	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4) (* (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (/ 1 (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)))) (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2)))
36.0ms	u2	@	0	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4) (* (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (/ 1 (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)))) (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2)))
23.0ms	u2	@	-inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4) (* (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (/ 1 (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)))) (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2)))
22.0ms	u2	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4) (* (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (/ 1 (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)))) (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2)))
21.0ms	u1	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4) (* (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (/ 1 (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)))) (neg (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 3) 1/216) 1/8)) (neg (+ (* (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) (+ (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) 1/4)) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2)))

simplify209.0ms (2.3%)

Memory

-4.6MiB live, 278.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	13169
1	1563	12135
2	6557	12118
0	8037	11480

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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)))
(+ 1/2 (* 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))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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))))
(/ (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1)))))
(+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1)))))
(+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1)))))
(+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1)))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))))
(* -1 (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))))
(* -1 (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))))
(* -1 (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(log u1)
(log u1)
(log u1)
(log u1)
(sqrt (log u1))
(sqrt (log u1))
(sqrt (log u1))
(sqrt (log u1))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(+ 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))))))
(* 1/6 (* (* (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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 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)))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 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))))))
(* 1/6 (* (* (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)))))
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(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(* -1 (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

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

rewrite195.0ms (2.1%)

Memory

-3.5MiB live, 275.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	401
0	117	364
1	393	360
2	2009	324
0	8405	315

Stop Event

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

Counts

27 → 812

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

Outputs
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eval491.0ms (5.3%)

Memory: 18.2MiB live, 435.8MiB allocated
Compiler: Compiled 94 178 to 5 556 computations (94.1% saved)

prune117.0ms (1.3%)

Memory

-14.8MiB live, 160.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 915	17	1 932
Fresh	10	1	11
Picked	5	0	5
Done	0	0	0
Total	1 930	18	1 948

Accuracy

100.0%

Counts

1 948 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.0%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	98.5%	(/.f64 #s(approx (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (log.f64 u1)) #s(literal 2/9 binary64)) (.f64 u2 u2) #s(literal -1/4 binary64)))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
▶	98.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.6%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 u2) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	99.1%	(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
▶	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #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 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))))))
▶	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 754 to 656 computations (13% saved)

simplify396.0ms (4.3%)

Memory

26.9MiB live, 104.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))
cost-diff	128	(+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
cost-diff	320	(.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #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 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	516
0	106	517
1	173	464
2	273	460
3	400	460
4	616	460
5	938	460
6	1342	460
7	1906	460
8	3110	460
9	4249	460
10	4572	460
11	4953	460
12	5303	460
13	5459	460
14	5582	460
15	6341	460
16	6664	460
17	6715	460
18	6790	460
19	6814	460
20	6835	460
21	6843	460
22	6843	460
23	6878	460
24	6954	460
25	6966	460
26	6966	460
27	6966	460
28	6974	460
0	6974	449

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

localize292.0ms (3.1%)

Memory

8.4MiB live, 315.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))
accuracy	0.390625	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))
accuracy	0.44369125976844204	(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
accuracy	0.06640625	(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
accuracy	0.390625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.5247650390737681	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.6756748954572459	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
accuracy	0.01171875	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.2734375	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.38671875	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0	(log.f64 u1)
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.38671875	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.390625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy	0.47884750976844204	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy	1.0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

242.0ms

256×

valid

Compiler

Compiled 467 to 60 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-div: 33.0ms (22% of total)

ival-mult: 32.0ms (21.3% of total)

ival-sqrt: 32.0ms (21.3% of total)

const: 12.0ms (8% of total)

ival-pow: 10.0ms (6.7% of total)

ival-add: 8.0ms (5.3% of total)

ival-log: 7.0ms (4.7% of total)

ival-pow2: 5.0ms (3.3% of total)

ival-cos: 4.0ms (2.7% of total)

ival-cosu: 3.0ms (2% of total)

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

ival-sub: 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)

series169.0ms (1.8%)

Memory

-3.3MiB live, 237.2MiB allocated

Counts

28 → 396

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (patch (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) (patch (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #<representation binary64>) () ())
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#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (patch (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (patch (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) (patch (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) #<representation binary64>) () ())
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#s(alt (log.f64 u1) (patch (log.f64 u1) #<representation binary64>) () ())
#s(alt (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))) (patch (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (patch (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (patch (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) #<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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) (taylor 0 u1) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) u2))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (taylor 0 u1) (#s(alt (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor -inf u2) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor -inf u2) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor -inf u2) (#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	u1	@	inf	((* (* 2 (sqrt (PI))) (sqrt (PI))) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ 1 (/ (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (+ (* (pow (* (log u1) -2) 3/2) 1/216) 1/8))) (* 1/36 (* (log u1) -2)) (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12)) (sqrt (PI)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (log u1) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (pow (* (log u1) -2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 3/2) (* (sqrt (* (log u1) -2)) 1/12))
34.0ms	u1	@	-inf	((* (* 2 (sqrt (PI))) (sqrt (PI))) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ 1 (/ (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (+ (* (pow (* (log u1) -2) 3/2) 1/216) 1/8))) (* 1/36 (* (log u1) -2)) (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12)) (sqrt (PI)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (log u1) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (pow (* (log u1) -2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 3/2) (* (sqrt (* (log u1) -2)) 1/12))
33.0ms	u1	@	0	((* (* 2 (sqrt (PI))) (sqrt (PI))) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ 1 (/ (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (+ (* (pow (* (log u1) -2) 3/2) 1/216) 1/8))) (* 1/36 (* (log u1) -2)) (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12)) (sqrt (PI)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (log u1) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (pow (* (log u1) -2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 3/2) (* (sqrt (* (log u1) -2)) 1/12))
7.0ms	u2	@	inf	((* (* 2 (sqrt (PI))) (sqrt (PI))) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ 1 (/ (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (+ (* (pow (* (log u1) -2) 3/2) 1/216) 1/8))) (* 1/36 (* (log u1) -2)) (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12)) (sqrt (PI)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (log u1) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (pow (* (log u1) -2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 3/2) (* (sqrt (* (log u1) -2)) 1/12))
7.0ms	u2	@	-inf	((* (* 2 (sqrt (PI))) (sqrt (PI))) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* (* 2 (sqrt (PI))) (sqrt (PI))) u2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (/ 1 (/ (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (+ (* (pow (* (log u1) -2) 3/2) 1/216) 1/8))) (* 1/36 (* (log u1) -2)) (+ 1/4 (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12))) (- (* 1/36 (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/12)) (sqrt (PI)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (log u1) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (pow (* (log u1) -2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 3/2) (* (sqrt (* (log u1) -2)) 1/12))

simplify462.0ms (5%)

Memory

-41.6MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	6408
1	473	6220
2	1476	6094
3	2479	6020
4	3640	6020
5	5429	6020
6	7179	6020
0	8351	5762

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)))))
(* 1/6 (* (* (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))))
(+ 1/2 (* 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))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (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)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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))))
(/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (sqrt -8)))) (- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (sqrt -8)))) (- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (sqrt -8)))) (- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (sqrt -8)))) (- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2)))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (+ 1/4 (* -1/18 (log u1))) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (* -1/18 (log u1)) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (* -1/18 (log u1)) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (* -1/18 (log u1)) (* 1/12 (* (sqrt (log u1)) (sqrt -2))))
(- (* -1/18 (log u1)) (* 1/12 (* (sqrt (log u1)) (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 u1)) (* (sqrt -1) (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 u1)) (sqrt -2)))
(log u1)
(log u1)
(log u1)
(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)))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (sqrt (pow (log u1) 3)) (sqrt -8))
(* (sqrt (pow (log u1) 3)) (sqrt -8))
(* (sqrt (pow (log u1) 3)) (sqrt -8))
(* (sqrt (pow (log u1) 3)) (sqrt -8))
(* 1/12 (* (sqrt (log u1)) (sqrt -2)))
(* 1/12 (* (sqrt (log u1)) (sqrt -2)))
(* 1/12 (* (sqrt (log u1)) (sqrt -2)))
(* 1/12 (* (sqrt (log u1)) (sqrt -2)))
(+ 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))))))
(* 1/6 (* (* (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)))))
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(+ (* 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)))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ 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)))))
(* 1/6 (* (* (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))))
(+ 1/2 (* 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)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (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))))
(+ 1/2 (* 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)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(+ 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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))

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

rewrite188.0ms (2%)

Memory

2.7MiB live, 286.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	361
0	106	285
1	346	276
2	1802	276
0	8485	271

Stop Event

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

Counts

28 → 821

Calls

Call 1

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

Outputs
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eval224.0ms (2.4%)

Memory: 7.6MiB live, 310.1MiB allocated
Compiler: Compiled 46 810 to 4 383 computations (90.6% saved)

prune57.0ms (0.6%)

Memory

-19.4MiB live, 143.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 579	14	1 593
Fresh	7	6	13
Picked	3	2	5
Done	0	0	0
Total	1 589	22	1 611

Accuracy

100.0%

Counts

1 611 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.0%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	98.5%	(/.f64 #s(approx (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (log.f64 u1)) #s(literal 2/9 binary64)) (.f64 u2 u2) #s(literal -1/4 binary64)))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	97.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* (log u1) -2) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 u2) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
▶	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 768 to 687 computations (10.5% saved)

simplify72.0ms (0.8%)

Memory

17.4MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff	0	(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 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) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	19328	(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
cost-diff	0	(fma.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #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 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64))))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	392
0	80	356
1	135	356
2	207	356
3	322	336
4	428	336
5	575	336
6	866	336
7	1546	336
8	2142	336
9	2495	336
10	2594	336
11	2642	336
12	2675	336
13	2686	336
0	2686	330

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (1.6%)

Memory

-10.3MiB live, 188.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
accuracy	0.2890625	(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.4453125	(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.12109375	(sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
accuracy	0.38671875	(fma.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	1.1790545774951124	(exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
accuracy	0.363945019536884	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
accuracy	0.390625	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.42416000976844204	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.38671875	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.6627139532912849	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
accuracy	0.25619125976844204	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64))))
accuracy	0.31640625	(*.f64 u2 (sqrt.f64 (PI.f64)))
accuracy	0.38671875	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

112.0ms

256×

valid

Compiler

Compiled 350 to 48 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 26.0ms (33.3% of total)

ival-div: 7.0ms (9% of total)

ival-log: 7.0ms (9% of total)

ival-sqrt: 7.0ms (9% of total)

const: 7.0ms (9% of total)

ival-add: 6.0ms (7.7% of total)

ival-pow: 5.0ms (6.4% of total)

ival-exp: 3.0ms (3.8% of total)

ival-cosu: 3.0ms (3.8% of total)

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

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

ival-pi: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series97.0ms (1%)

Memory

34.9MiB live, 150.1MiB allocated

Counts

25 → 360

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	u1	@	-inf	((* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) (sqrt (* (log u1) -2)) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (exp (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (exp (log (* (log u1) -2)))) 1/6) 1/2) (sqrt (exp (log (* (log u1) -2)))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (sqrt (PI)) (* u2 (sqrt (PI))) (* (sqrt (* (log u1) -2)) 1/6) (* -1/18 (log u1)) (* (pow (* (log u1) -2) 1/4) 1/6))
21.0ms	u1	@	inf	((* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) (sqrt (* (log u1) -2)) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (exp (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (exp (log (* (log u1) -2)))) 1/6) 1/2) (sqrt (exp (log (* (log u1) -2)))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (sqrt (PI)) (* u2 (sqrt (PI))) (* (sqrt (* (log u1) -2)) 1/6) (* -1/18 (log u1)) (* (pow (* (log u1) -2) 1/4) 1/6))
16.0ms	u1	@	0	((* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) (sqrt (* (log u1) -2)) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (exp (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (exp (log (* (log u1) -2)))) 1/6) 1/2) (sqrt (exp (log (* (log u1) -2)))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (sqrt (PI)) (* u2 (sqrt (PI))) (* (sqrt (* (log u1) -2)) 1/6) (* -1/18 (log u1)) (* (pow (* (log u1) -2) 1/4) 1/6))
10.0ms	u2	@	-inf	((* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) (sqrt (* (log u1) -2)) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (exp (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (exp (log (* (log u1) -2)))) 1/6) 1/2) (sqrt (exp (log (* (log u1) -2)))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (sqrt (PI)) (* u2 (sqrt (PI))) (* (sqrt (* (log u1) -2)) 1/6) (* -1/18 (log u1)) (* (pow (* (log u1) -2) 1/4) 1/6))
8.0ms	u2	@	inf	((* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* (* (sqrt (PI)) 2) (* u2 (sqrt (PI)))))) (sqrt (* (log u1) -2)) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- 1/4 (* -1/18 (log u1))) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (exp (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (exp (log (* (log u1) -2)))) 1/6) 1/2) (sqrt (exp (log (* (log u1) -2)))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (sqrt (PI)) (* u2 (sqrt (PI))) (* (sqrt (* (log u1) -2)) 1/6) (* -1/18 (log u1)) (* (pow (* (log u1) -2) 1/4) 1/6))

simplify163.0ms (1.8%)

Memory

13.9MiB live, 199.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	5276
1	359	5128
2	1123	5046
3	1882	4992
4	2785	4992
5	4197	4992
6	6157	4992
0	8037	4728

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

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

rewrite223.0ms (2.4%)

Memory

-6.8MiB live, 231.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	310
0	80	274
1	279	258
2	1416	258
0	8414	252

Stop Event

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

Counts

25 → 879

Calls

Call 1

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

Outputs
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eval193.0ms (2.1%)

Memory: 29.5MiB live, 394.7MiB allocated
Compiler: Compiled 36 576 to 3 570 computations (90.2% saved)

prune171.0ms (1.8%)

Memory

2.6MiB live, 161.9MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 508	5	1 513
Fresh	8	7	15
Picked	2	3	5
Done	0	2	2
Total	1 518	17	1 535

Accuracy

100.0%

Counts

1 535 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.5%	(/.f64 #s(approx (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (log.f64 u1)) #s(literal 2/9 binary64)) (.f64 u2 u2) #s(literal -1/4 binary64)))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	97.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* (log u1) -2) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 u2) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/18 binary64) (log.f64 u1) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (-.f64 (.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) #s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))))

Compiler

Compiled 1 468 to 534 computations (63.6% saved)

regimes177.0ms (1.9%)

Memory

-22.4MiB live, 338.3MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (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) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.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) #s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #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)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (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)) #s(approx (pow (pow (* (log u1) -2) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 u2) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)) (fma.f64 (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 (fma.f64 #s(literal 1/18 binary64) (log.f64 u1) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (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 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))) #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 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.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 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (exp.f64 (log.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) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 (.f64 u2 #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) #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 (exp.f64 #s(literal 1/2 binary64)) (log.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) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (* (pow (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 2) 1/36) -1/4) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (log.f64 u1)) #s(literal 2/9 binary64)) (.f64 u2 u2) #s(literal -1/4 binary64)))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (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 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))

Outputs

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

Calls

10 calls:

29.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
19.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
17.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
17.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
17.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes68.0ms (0.7%)

Memory

28.1MiB live, 140.3MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

9.0ms	(log.f64 u1)
8.0ms	(.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)))
8.0ms	u2
6.0ms	(.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)))
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))

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes110.0ms (1.2%)

Memory

-5.2MiB live, 106.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

10 calls:

33.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
32.0ms	u1
7.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
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 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes35.0ms (0.4%)

Memory

-1.2MiB live, 70.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes69.0ms (0.7%)

Memory

-9.6MiB live, 56.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

45.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
3.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.6%	1	`u1`
98.6%	1	`u2`
98.6%	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))`
98.6%	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)))`
98.6%	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)))`
98.6%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.6%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.6%	1	`(log.f64 u1)`
98.6%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes31.0ms (0.3%)

Memory

-1.6MiB live, 34.6MiB allocated

Accuracy

Total -63.0b remaining (-6185.7%)

Threshold costs -63b (-6185.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

10 calls:

15.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.4%	1	`u1`
98.4%	1	`(log.f64 u1)`
98.4%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.4%	1	`u2`
98.4%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.4%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.4%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.4%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.4%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 71 to 78 computations (-9.9% saved)

simplify49.0ms (0.5%)

Memory

25.0MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	183
1	90	183
2	92	183
3	93	183

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (12.2%)

Memory

-8.7MiB live, 707.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1292
1	204	1260
2	622	1232
3	2194	1204
4	2796	1198
5	3921	1198
6	5359	1198
7	5488	1198
8	5550	1198
9	5568	1198
10	5574	1198
11	5574	1198
0	8002	1162
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47
0	480	13169
1	1563	12135
2	6557	12118
0	8037	11480
0	69	401
0	117	364
1	393	360
2	2009	324
0	8405	315
0	132	5276
1	359	5128
2	1123	5046
3	1882	4992
4	2785	4992
5	4197	4992
6	6157	4992
0	8037	4728

Stop Event

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

Compiler

Compiled 271 to 194 computations (28.4% saved)

preprocess55.0ms (0.6%)

Memory: 7.5MiB live, 117.2MiB allocated
Remove: (abs u2)
Compiler: Compiled 554 to 392 computations (29.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze23.0ms (0.2%)

sample1.9s (20%)

explain310.0ms (3.3%)

preprocess28.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize69.0ms (0.7%)

series122.0ms (1.3%)

simplify359.0ms (3.9%)

rewrite177.0ms (1.9%)

eval103.0ms (1.1%)

prune111.0ms (1.2%)

simplify127.0ms (1.4%)

localize193.0ms (2.1%)

series213.0ms (2.3%)

simplify209.0ms (2.3%)

rewrite195.0ms (2.1%)

eval491.0ms (5.3%)

prune117.0ms (1.3%)

simplify396.0ms (4.3%)

localize292.0ms (3.1%)

series169.0ms (1.8%)

simplify462.0ms (5%)

rewrite188.0ms (2%)

eval224.0ms (2.4%)

prune57.0ms (0.6%)

simplify72.0ms (0.8%)

localize151.0ms (1.6%)

series97.0ms (1%)

simplify163.0ms (1.8%)

rewrite223.0ms (2.4%)

eval193.0ms (2.1%)

prune171.0ms (1.8%)

regimes177.0ms (1.9%)

regimes68.0ms (0.7%)

regimes110.0ms (1.2%)

regimes35.0ms (0.4%)

regimes69.0ms (0.7%)

regimes31.0ms (0.3%)

simplify49.0ms (0.5%)

soundness1.1s (12.2%)

preprocess55.0ms (0.6%)

end0.0ms (0%)

Profiling

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