Metrics for normal distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

sample2.0s (19.5%)

Memory

50.7MiB live, 1 666.6MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-add: 313.0ms (29% of total)

ival-mult: 269.0ms (24.9% of total)

ival-log: 119.0ms (11% of total)

ival-div: 98.0ms (9.1% of total)

ival-cos: 76.0ms (7% of total)

ival-<=: 74.0ms (6.9% of total)

ival-sqrt: 57.0ms (5.3% of total)

ival-pi: 28.0ms (2.6% of total)

exact: 21.0ms (1.9% of total)

ival-and: 20.0ms (1.9% of total)

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

Bogosity

explain231.0ms (2.3%)

Memory

-6.4MiB live, 242.5MiB 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

70.0ms

512×

valid

Compiler

Compiled 191 to 58 computations (69.6% saved)

Precisions

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

ival-mult: 25.0ms (51.5% of total)

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

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

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

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

ival-sqrt: 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

-6.8MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(fma.f64 (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 21 to 18 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.4%)

Memory

0.9MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03125	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
accuracy	0.1640625	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.265625	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.3984375	(.f64 (/.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

34.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38% of total)

ival-log: 3.0ms (16.3% of total)

ival-div: 2.0ms (10.8% of total)

ival-cos: 2.0ms (10.8% of total)

ival-sqrt: 2.0ms (10.8% of total)

ival-pi: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series94.0ms (0.9%)

Memory

2.5MiB live, 116.1MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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 -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
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))
24.0ms	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))
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))
10.0ms	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))

simplify361.0ms (3.5%)

Memory

14.0MiB live, 312.7MiB allocated

Algorithm

1×	egg-herbie

Rules

43 330×	`lower-fma.f64`
43 330×	`lower-fma.f32`
7 800×	`lower-+.f64`
7 800×	`lower-+.f32`
5 814×	`lower-*.f64`

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))

rewrite159.0ms (1.6%)

Memory

9.2MiB live, 181.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 176

Calls

Call 1

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

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

eval31.0ms (0.3%)

Memory: -18.1MiB live, 60.5MiB allocated
Compiler: Compiled 7 687 to 702 computations (90.9% saved)

prune62.0ms (0.6%)

Memory

31.1MiB live, 70.1MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	242	18	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	18	261

Accuracy

100.0%

Counts

261 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(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)) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
	99.2%	(fma.f64 (.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 1/36 binary64)) (/.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 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))) (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)))))
	99.4%	(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))
	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	99.0%	(/.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 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)))
	99.2%	(/.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)))
▶	99.3%	(/.f64 (-.f64 #s(literal 1/4 binary64) (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 2 binary64))) (-.f64 #s(literal 1/2 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)))))))
	99.2%	(/.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 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 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 1/4 binary64) (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 2 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))))
	99.1%	(+.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))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (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))
▶	99.4%	(+.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))
▶	99.4%	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.0%	(.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)) (/.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))))
▶	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 1 034 to 680 computations (34.2% saved)

simplify238.0ms (2.3%)

Memory

-18.0MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 890×	`lower-fma.f32`
4 886×	`lower-fma.f64`
4 602×	`lower-*.f32`
4 572×	`lower-*.f64`
1 592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	457
0	95	445
1	163	445
2	267	445
3	776	445
4	1845	445
5	3545	445
6	5247	445
7	7139	445
0	8048	439

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

localize205.0ms (2%)

Memory

13.4MiB live, 243.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 u2 (.f64 (PI.f64) #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	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
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

149.0ms

256×

invalid

Compiler

Compiled 429 to 50 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 66.0ms (57.3% of total)

ival-log: 13.0ms (11.3% of total)

ival-sqrt: 9.0ms (7.8% of total)

ival-pow: 5.0ms (4.3% of total)

ival-div: 4.0ms (3.5% of total)

ival-add: 4.0ms (3.5% of total)

ival-cos: 4.0ms (3.5% of total)

const: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.7% of total)

ival-pow2: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series180.0ms (1.8%)

Memory

-1.7MiB live, 329.6MiB allocated

Counts

26 → 384

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	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) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2))))) (/ (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))))) (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)))
33.0ms	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) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2))))) (/ (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))))) (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)))
31.0ms	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) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2))))) (/ (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))))) (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)))
12.0ms	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) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2))))) (/ (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))))) (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)))
10.0ms	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) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* (* 2 (PI)) u2))) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2))))) (/ (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (- 1/2 (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))))) (- 1/4 (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2)) (pow (* (cos (* u2 (* (PI) 2))) (* 1/6 (sqrt (* (log u1) -2)))) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)))

simplify220.0ms (2.1%)

Memory

14.4MiB live, 287.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 598×	`lower-fma.f64`
9 598×	`lower-fma.f32`
7 802×	`lower-*.f64`
7 802×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	7641
1	817	6985
2	3054	6868
3	7853	6868
0	8116	6545

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite533.0ms (5.2%)

Memory

-54.2MiB live, 350.0MiB allocated

Rules

6 102×	`lower-*.f32`
6 072×	`lower-*.f64`
4 988×	`lower-/.f32`
4 986×	`lower-/.f64`
4 046×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	304
0	95	269
1	314	265
2	1442	263
0	8945	255

Stop Event

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

Counts

26 → 1 194

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

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

eval456.0ms (4.4%)

Memory: 31.4MiB live, 519.7MiB allocated
Compiler: Compiled 97 226 to 4 212 computations (95.7% saved)

prune323.0ms (3.2%)

Memory

-19.5MiB live, 512.8MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2 200	15	2 215
Fresh	12	1	13
Picked	4	1	5
Done	0	0	0
Total	2 216	17	2 233

Accuracy

100.0%

Counts

2 233 → 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))) #s(literal 1/6 binary64)) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	98.7%	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
▶	99.4%	(+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	98.0%	(+.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))
	97.1%	(+.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))
	99.4%	(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓	99.4%	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.0%	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 u2) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
▶	99.6%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (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 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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)))
▶	97.1%	#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)))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (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))))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (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)))))
	96.8%	#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 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)))))
▶	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 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 660 to 512 computations (22.4% saved)

simplify348.0ms (3.4%)

Memory

5.3MiB live, 269.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

18 652×	`lower-fma.f32`
18 642×	`lower-fma.f64`
4 406×	`lower-*.f32`
4 380×	`lower-*.f64`
1 906×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	441
0	103	435
1	182	395
2	296	395
3	501	389
4	836	389
5	1217	389
6	1403	389
7	1644	389
8	2126	389
9	3265	389
10	4124	389
11	4713	389
12	5311	389
13	5734	389
14	6361	389
15	6759	389
16	6862	389
17	6893	389
18	6963	389
19	7082	389
20	7157	389
21	7304	389
22	7531	389
23	7594	389
24	7684	389
0	8402	381

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (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 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(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 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 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)
(cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))
(cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))
(.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 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 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(.f64 (cos.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)) #s(literal 1/6 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)
(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 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 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 (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 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))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 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 (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)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal -1/4 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)
(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)))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/36 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/36 binary64)) (log.f64 u1)))
(.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -1/36 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/36 binary64)) (log.f64 u1))
(.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))
#s(literal 1/36 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))
(fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(.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)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)

localize209.0ms (2%)

Memory

6.7MiB live, 245.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	0.15234375	(pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.265625	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.34994125976844204	(.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.35546875	(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 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	0.381855029305326	(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
accuracy	0.4596163206944218	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	1.491693248287132	#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)) (/.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	0.01953125	(.f64 (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
accuracy	0.1640625	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.265625	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.38671875	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0	(log.f64 u1)
accuracy	0.1640625	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.390625	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	1.491693248287132	#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	0.015625	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))))
accuracy	0.18359375	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.2265625	(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 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.265625	(*.f64 (PI.f64) u2)

Samples

131.0ms

256×

valid

Compiler

Compiled 409 to 62 computations (84.8% saved)

Precisions

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

ival-mult: 35.0ms (41.9% of total)

ival-sqrt: 11.0ms (13.2% of total)

ival-add: 10.0ms (12% of total)

ival-cos: 7.0ms (8.4% of total)

const: 6.0ms (7.2% of total)

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

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

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

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

exact: 1.0ms (1.2% of total)

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

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

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

series123.0ms (1.2%)

Memory

-14.1MiB live, 199.7MiB allocated

Counts

24 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	u2	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 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) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (+ (* 1/36 (* (log u1) -2)) -1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* 2 (* u2 (* (PI) 2))) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2))
21.0ms	u1	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 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) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (+ (* 1/36 (* (log u1) -2)) -1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* 2 (* u2 (* (PI) 2))) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2))
16.0ms	u1	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 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) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (+ (* 1/36 (* (log u1) -2)) -1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* 2 (* u2 (* (PI) 2))) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2))
13.0ms	u1	@	0	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 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) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (+ (* 1/36 (* (log u1) -2)) -1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* 2 (* u2 (* (PI) 2))) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2))
11.0ms	u2	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 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) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (+ (* 1/36 (* (log u1) -2)) -1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* 2 (* u2 (* (PI) 2))) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2))

simplify173.0ms (1.7%)

Memory

24.3MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 664×	`lower-fma.f64`
9 664×	`lower-fma.f32`
7 278×	`lower-*.f64`
7 278×	`lower-*.f32`
2 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	6066
1	949	5874
2	3274	5718
3	5347	5614
0	8168	5268

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* 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)))))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 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 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(log u1)
(log u1)
(log u1)
(log u1)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -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 -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)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 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))))))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(+ 1/2 (* 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))))))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(- (* 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)
(+ 1/2 (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (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))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -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))))))))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
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(* 1/6 (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))))))))))
1/6
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1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
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(* (sqrt (log u1)) (sqrt -1/18))
(+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18)))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 1/2 (* (/ (* (pow u2 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))))
(* -1/18 (log u1))
(+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))
1/36
(+ 1/36 (* -1/9 (* (pow u2 2) (pow (PI) 2))))
(+ 1/36 (* (pow u2 2) (+ (* -1/9 (pow (PI) 2)) (* 4/27 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/36 (* (pow u2 2) (+ (* -1/9 (pow (PI) 2)) (* (pow u2 2) (+ (* -32/405 (* (pow u2 2) (pow (PI) 6))) (* 4/27 (pow (PI) 4)))))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+ 1/2 (+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 1/2 (* (/ (* (pow u2 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
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(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
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(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
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(* u2 (PI))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))

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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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
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(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
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(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
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(cos (* 2 (* u2 (PI))))
(cos.f64 (.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))
(* 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))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/18 binary64) (log.f64 u1)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/18 binary64) (log.f64 u1)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/18 binary64) (log.f64 u1)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/18 binary64) (log.f64 u1)))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))
(* 4 (* u2 (PI)))
(.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))
(* 4 (* u2 (PI)))
(.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))
(* 4 (* u2 (PI)))
(.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))
(* 4 (* u2 (PI)))
(.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))
(* u2 (PI))
(*.f64 (PI.f64) u2)
(* u2 (PI))
(*.f64 (PI.f64) u2)
(* u2 (PI))
(*.f64 (PI.f64) u2)
(* u2 (PI))
(*.f64 (PI.f64) u2)
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))

rewrite223.0ms (2.2%)

Memory

-0.4MiB live, 306.9MiB allocated

Rules

5 208×	`lower-fma.f32`
5 198×	`lower-fma.f64`
4 618×	`lower-*.f32`
4 592×	`lower-*.f64`
3 286×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	313
0	103	278
1	348	253
2	1746	253
0	8583	250

Stop Event

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

Counts

24 → 852

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (fma.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1))) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1))) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1))) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1))) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #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 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 u1)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))))))))
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(fma.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))) (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/72 binary64)) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/72 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/72 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/72 binary64)) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/72 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/72 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/72 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))

eval255.0ms (2.5%)

Memory: 17.8MiB live, 296.3MiB allocated
Compiler: Compiled 39 482 to 2 793 computations (92.9% saved)

prune449.0ms (4.4%)

Memory

-26.0MiB live, 344.1MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 474	14	1 488
Fresh	10	1	11
Picked	3	2	5
Done	0	1	1
Total	1 487	18	1 505

Accuracy

100.0%

Counts

1 505 → 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))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) #s(literal 1/2 binary64))
✓	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
▶	98.0%	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	98.0%	(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
▶	97.4%	(+.f64 (pow.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	97.1%	(+.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))
✓	99.4%	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.4%	(+.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
	99.3%	#s(approx (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (fma.f64 (sqrt.f64 #s(literal 1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/2 binary64)) (log.f64 u1))) #s(literal 1/2 binary64)))
	98.2%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
▶	97.3%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
✓	97.1%	#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)))
	96.9%	#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))))
▶	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/18 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)))))
	97.0%	#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)))))
	96.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #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)))))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.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)))))
	96.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 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 606 to 472 computations (22.1% saved)

simplify250.0ms (2.4%)

Memory

10.2MiB live, 127.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
cost-diff	0	#s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)))
cost-diff	0	(+.f64 (pow.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	5824	(pow.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
cost-diff	320	(.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Rules

6 476×	`lower-fma.f32`
6 468×	`lower-fma.f64`
4 594×	`lower-*.f32`
4 572×	`lower-*.f64`
1 078×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	466
0	115	463
1	224	440
2	425	434
3	768	434
4	1304	434
5	1804	434
6	2652	434
7	4183	434
8	5398	434
9	6296	434
10	6680	434
11	6989	434
12	7024	434
13	7693	434
14	7827	434
15	7993	434
0	8005	420

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.1%)

Memory

8.8MiB live, 384.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35775375976844204	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
accuracy	0.3984375	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.4293937988422101	(/.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	1.491693248287132	#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	0.03515625	(+.f64 (pow.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	0.15234375	(pow.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.35775375976844204	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
accuracy	1.539305490051442	#s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)))
accuracy	0.01953125	(.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
accuracy	0.1640625	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.38671875	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.8869846672996604	#s(approx (cos (* u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
accuracy	0.18359375	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.2265625	(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	1.549089935667195	#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
accuracy	0.03515625	(+.f64 (sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.15234375	(sqrt.f64 (.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
accuracy	0.265625	(*.f64 (PI.f64) u2)
accuracy	0.35775375976844204	(*.f64 #s(literal -1/18 binary64) (log.f64 u1))

Samples

165.0ms

256×

valid

Compiler

Compiled 379 to 73 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 57.0ms (49.5% of total)

const: 12.0ms (10.4% of total)

ival-add: 10.0ms (8.7% of total)

ival-sqrt: 10.0ms (8.7% of total)

ival-cos: 9.0ms (7.8% of total)

ival-pow: 5.0ms (4.3% of total)

ival-div: 4.0ms (3.5% of total)

ival-log: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series113.0ms (1.1%)

Memory

34.7MiB live, 192.3MiB allocated

Counts

23 → 384

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	u1	@	inf	((* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (+ (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) 1/2) (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) (* -1/18 (log u1)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -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))) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/6))
15.0ms	u1	@	-inf	((* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (+ (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) 1/2) (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) (* -1/18 (log u1)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -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))) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/6))
13.0ms	u2	@	inf	((* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (+ (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) 1/2) (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) (* -1/18 (log u1)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -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))) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/6))
12.0ms	u1	@	0	((* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (+ (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) 1/2) (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) (* -1/18 (log u1)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -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))) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/6))
10.0ms	u2	@	-inf	((* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (+ (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) 1/2) (sqrt (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2))) (* -1/18 (log u1)) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) (+ (pow (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) 1/2) 1/2) (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -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))) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (* (sqrt (* (log u1) -2)) 1/6))

simplify224.0ms (2.2%)

Memory

9.9MiB live, 315.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 224×	`lower-fma.f64`
11 224×	`lower-fma.f32`
8 396×	`lower-*.f64`
8 396×	`lower-*.f32`
3 302×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	6856
1	1039	6660
2	3715	6482
3	6601	6482
0	8312	6073

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
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(+ 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
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
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
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(* (sqrt (log u1)) (sqrt -1/18))
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(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))))
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(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))))
(* -1/18 (log u1))
(+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))
(+ 1/2 (* 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 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (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)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
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(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
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(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
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(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (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)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

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

rewrite164.0ms (1.6%)

Memory

18.4MiB live, 283.5MiB allocated

Rules

5 456×	`lower-*.f32`
5 434×	`lower-*.f64`
2 960×	`lower-/.f32`
2 958×	`lower-/.f64`
2 672×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	373
0	115	362
1	408	347
2	2540	341
0	8238	325

Stop Event

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

Counts

23 → 554

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (sqrt.f64 #s(literal -1/18 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 u1) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -1/18 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)) #s(literal 1 binary64)) #s(literal -1/18 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal -1/18 binary64)) (log.f64 u1))
(.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (fabs.f64 (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))))
(.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)) #s(literal -1/18 binary64))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(.f64 (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 u1) (.f64 #s(literal -1/18 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1/18 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)) #s(literal 1 binary64)))
(.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fabs.f64 (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal -1/46656 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1)))))))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal -1/46656 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 #s(literal -1/36 binary64) (log.f64 u1))))))
(fma.f64 #s(literal -1/36 binary64) (log.f64 u1) (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) #s(literal -1/18 binary64)) (log.f64 u1) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (log.f64 u1)) #s(literal -1/18 binary64) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 u1)) #s(literal -1/18 binary64) (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) (.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 (log.f64 u1) (.f64 #s(literal -1/18 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
(fma.f64 (log.f64 u1) #s(literal -1/36 binary64) (.f64 (.f64 #s(literal -1/36 binary64) (log.f64 u1)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 #s(literal -1/18 binary64) (.f64 (log.f64 u1) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1/36 binary64) (log.f64 u1)))
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(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(exp.f64 (fma.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))

eval201.0ms (2%)

Memory: -16.8MiB live, 301.8MiB allocated
Compiler: Compiled 26 600 to 2 206 computations (91.7% saved)

prune306.0ms (3%)

Memory

-36.9MiB live, 348.7MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 000	9	1 009
Fresh	4	6	10
Picked	4	1	5
Done	1	2	3
Total	1 009	18	1 027

Accuracy

100.0%

Counts

1 027 → 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))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) #s(literal 1/2 binary64))
	98.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(approx (cos (* u2 (* (PI) 2))) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.0%	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (/.f64 (fma.f64 (.f64 (.f64 u2 u2) (.f64 u2 u2)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 u2 u2) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.0%	(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	97.2%	(/.f64 (-.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 #s(approx ( (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)))
	97.1%	(+.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))
✓	99.4%	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.4%	(+.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
	97.4%	(+.f64 (sqrt.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
	98.2%	(+.f64 (sqrt.f64 #s(approx (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (.f64 (log.f64 u1) (fma.f64 (.f64 u2 u2) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 2/9 binary64)) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
	97.2%	(+.f64 (exp.f64 (.f64 (log.f64 #s(approx ( (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
	97.0%	(.f64 (-.f64 #s(approx ( (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx ( (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))))
	98.2%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
✓	97.3%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
✓	97.1%	#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)))
	97.0%	#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)))))
	96.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #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)))))

Compiler

Compiled 1 509 to 481 computations (68.1% saved)

regimes160.0ms (1.6%)

Memory

2.2MiB live, 319.6MiB allocated

Counts

57 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

18.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
17.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
17.0ms	(log.f64 u1)
17.0ms	(.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)))
15.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
99.6%	1	`u1`
99.6%	1	`u2`
99.6%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.6%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.6%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.6%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.6%	1	`(log.f64 u1)`
99.6%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes128.0ms (1.3%)

Memory

25.6MiB live, 183.8MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

10 calls:

45.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
11.0ms	u2
10.0ms	(.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)))
9.0ms	(log.f64 u1)
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes72.0ms (0.7%)

Memory

-27.3MiB live, 146.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

10 calls:

10.0ms	u1
8.0ms	(.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)))
7.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
7.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
7.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes106.0ms (1%)

Memory

30.6MiB live, 108.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

10 calls:

36.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
28.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
5.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes56.0ms (0.5%)

Memory

-4.0MiB live, 108.4MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

9.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
7.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
7.0ms	u2
5.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes98.0ms (1%)

Memory

7.0MiB live, 84.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

(+.f64 (sqrt.f64 #s(approx (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (*.f64 (log.f64 u1) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2/9 binary64)) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))

Calls

10 calls:

37.0ms	(.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)))
31.0ms	u1
4.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
4.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes29.0ms (0.3%)

Memory

4.0MiB live, 46.1MiB allocated

Accuracy

Total -62.3b remaining (-3720.2%)

Threshold costs -62.3b (-3720.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

10 calls:

2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(log.f64 u1)
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
97.4%	1	`u1`
97.4%	1	`u2`
97.4%	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))`
97.4%	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)))`
97.4%	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)))`
97.4%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
97.4%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
97.4%	1	`(log.f64 u1)`
97.4%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
97.4%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify35.0ms (0.3%)

Memory

-19.7MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	202
1	110	202
2	112	202
3	113	202

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (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 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1))) (fabs.f64 (cos.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(approx (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (.f64 (log.f64 u1) (fma.f64 (.f64 u2 u2) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 2/9 binary64)) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(approx (* (* -1/18 (log u1)) (+ (* (cos (* 4 (* (PI) u2))) 1/2) 1/2)) (.f64 (fma.f64 (.f64 u2 u2) (.f64 #s(literal 2/9 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/18 binary64)) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(approx (* (* 1/36 (+ 1/2 (* 1/2 (cos (* 2 (* u2 (* (PI) 2))))))) (* (log u1) -2)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))

soundness1.0s (10.2%)

Memory

34.9MiB live, 938.3MiB allocated

Rules

11 224×	`lower-fma.f64`
11 224×	`lower-fma.f32`
9 664×	`lower-fma.f64`
9 664×	`lower-fma.f32`
9 598×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	313
0	103	278
1	348	253
2	1746	253
0	8583	250
0	269	7641
1	817	6985
2	3054	6868
3	7853	6868
0	8116	6545
0	335	6856
1	1039	6660
2	3715	6482
3	6601	6482
0	8312	6073
0	317	6066
1	949	5874
2	3274	5718
3	5347	5614
0	8168	5268
0	78	373
0	115	362
1	408	347
2	2540	341
0	8238	325
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47
0	57	304
0	95	269
1	314	265
2	1442	263
0	8945	255

Stop Event

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

Compiler

Compiled 708 to 331 computations (53.2% saved)

preprocess82.0ms (0.8%)

Memory: -19.2MiB live, 138.2MiB allocated
Remove: (abs u2)
Compiler: Compiled 584 to 384 computations (34.2% 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%)

analyze20.0ms (0.2%)

sample2.0s (19.5%)

explain231.0ms (2.3%)

preprocess28.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize44.0ms (0.4%)

series94.0ms (0.9%)

simplify361.0ms (3.5%)

rewrite159.0ms (1.6%)

eval31.0ms (0.3%)

prune62.0ms (0.6%)

simplify238.0ms (2.3%)

localize205.0ms (2%)

series180.0ms (1.8%)

simplify220.0ms (2.1%)

rewrite533.0ms (5.2%)

eval456.0ms (4.4%)

prune323.0ms (3.2%)

simplify348.0ms (3.4%)

localize209.0ms (2%)

series123.0ms (1.2%)

simplify173.0ms (1.7%)

rewrite223.0ms (2.2%)

eval255.0ms (2.5%)

prune449.0ms (4.4%)

simplify250.0ms (2.4%)

localize215.0ms (2.1%)

series113.0ms (1.1%)

simplify224.0ms (2.2%)

rewrite164.0ms (1.6%)

eval201.0ms (2%)

prune306.0ms (3%)

regimes160.0ms (1.6%)

regimes128.0ms (1.3%)

regimes72.0ms (0.7%)

regimes106.0ms (1%)

regimes56.0ms (0.5%)

regimes98.0ms (1%)

regimes29.0ms (0.3%)

simplify35.0ms (0.3%)

soundness1.0s (10.2%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling

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