Metrics for normal distribution

analyze23.0ms (0.2%)

Memory

-7.9MiB live, 29.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

sample2.0s (15.2%)

Memory

36.9MiB live, 1 792.0MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-mult: 377.0ms (32.4% of total)

ival-sqrt: 231.0ms (19.8% of total)

ival-log: 199.0ms (17.1% of total)

ival-<=: 79.0ms (6.8% of total)

ival-div: 67.0ms (5.8% of total)

ival-add: 66.0ms (5.7% of total)

ival-cos: 60.0ms (5.2% of total)

ival-pi: 43.0ms (3.7% of total)

exact: 21.0ms (1.8% of total)

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

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

Bogosity

preprocess34.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs u2)

explain205.0ms (1.6%)

Memory

8.8MiB live, 281.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

62.0ms

512×

valid

Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (34.6% of total)

ival-log: 7.0ms (17.3% of total)

ival-cos: 6.0ms (14.8% of total)

ival-div: 4.0ms (9.9% of total)

ival-sqrt: 3.0ms (7.4% of total)

ival-pi: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify9.0ms (0.1%)

Memory

-32.5MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.4%)

Memory

6.6MiB live, 81.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.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	99.8%	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓	accuracy	99.4%	(.f64 (/.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

32.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (46.2% of total)

ival-log: 3.0ms (13.9% of total)

ival-div: 2.0ms (9.2% of total)

ival-cos: 2.0ms (9.2% of total)

ival-sqrt: 2.0ms (9.2% of total)

ival-pi: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

exact: 1.0ms (4.6% of total)

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

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

series83.0ms (0.6%)

Memory

9.3MiB live, 125.0MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

21 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(pow (* -2 (log u1)) 1/2)
22.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/2)
12.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
7.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/2)
4.0ms	u2	@	-inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

simplify1.1s (8.7%)

Memory

29.0MiB live, 950.5MiB allocated

Algorithm

1×	egg-herbie

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
7 804×	`lower-+.f64`
7 804×	`lower-+.f32`
5 834×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1292
1	205	1260
2	623	1232
3	2201	1204
4	2811	1198
5	3922	1198
6	5352	1198
7	5480	1198
8	5542	1198
9	5559	1198
10	5565	1198
11	5565	1198
12	7993	1198
13	7993	1198
14	7993	1198
0	8013	1162

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite274.0ms (2.1%)

Memory

-19.7MiB live, 213.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 176

Calls

Call 1

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

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

eval158.0ms (1.2%)

Memory: 18.9MiB live, 56.1MiB allocated
Compiler: Compiled 7 687 to 694 computations (91% saved)

prune56.0ms (0.4%)

Memory

-21.1MiB live, 102.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

100.0%

Counts

261 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
	99.2%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
	98.9%	(+.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.4%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.0%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.7%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.0%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.4%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.1%	(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
▶	99.2%	(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶	0.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 884 to 642 computations (27.4% saved)

simplify342.0ms (2.6%)

Memory

-0.2MiB live, 424.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓	cost-diff	320	(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
✓	cost-diff	0	(log.f64 u1)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	cost-diff	0	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓	cost-diff	19328	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(log.f64 u1)
✓	cost-diff	0	(sqrt.f64 (log.f64 u1))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))

Rules

5 690×	`lower-*.f32`
5 664×	`lower-*.f64`
5 472×	`lower-fma.f32`
5 466×	`lower-fma.f64`
2 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	502
0	95	484
1	155	482
2	276	482
3	792	482
4	1497	482
5	2592	482
6	5155	482
7	7250	482
0	8035	478

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (1.9%)

Memory

-17.2MiB live, 340.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	100.0%	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	100.0%	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	100.0%	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
✓	accuracy	3.1%	(PI.f64)
✓	accuracy	100.0%	(sqrt.f64 (log.f64 u1))
✓	accuracy	100.0%	(sqrt.f64 #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	100.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	100.0%	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓	accuracy	100.0%	#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	3.1%	(PI.f64)

Samples

110.0ms

256×

invalid

Compiler

Compiled 477 to 48 computations (89.9% saved)

Precisions

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

ival-mult: 25.0ms (32.3% of total)

ival-div: 15.0ms (19.4% of total)

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

const: 6.0ms (7.7% of total)

ival-pow: 5.0ms (6.5% of total)

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

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

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

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

ival-pow2: 2.0ms (2.6% of total)

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

exact: 1.0ms (1.3% of total)

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

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

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

series119.0ms (0.9%)

Memory

16.1MiB live, 207.8MiB allocated

Counts

24 → 384

Calls

Call 1

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

Outputs
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (taylor 0 u2) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (taylor 0 u2) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))) (taylor 0 u2) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 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>) () ())) ())
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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 (.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 (.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 1 (taylor 0 u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
36.0ms	u1	@	0	(pow (* -2 (log u1)) 1/4)
21.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/4)
14.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/4)
5.0ms	u1	@	-inf	(* (- 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))
3.0ms	u2	@	0	(* (- 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))

simplify586.0ms (4.5%)

Memory

0.8MiB live, 473.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 644×	`lower-*.f64`
8 644×	`lower-*.f32`
7 162×	`lower-fma.f64`
7 162×	`lower-fma.f32`
3 178×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	8301
1	966	7633
2	3756	7623
0	8099	7227

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 u2 u2) #s(literal 1/9 binary64)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 u2 u2) #s(literal 1/9 binary64)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
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(.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(+ (* -1/9 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* 1/36 (* (log u1) (pow (sqrt -2) 2))))
(fma.f64 u2 (.f64 u2 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(+ (* 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))))))))))
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (log.f64 u1) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64)) #s(literal 1/36 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64)))))
(+ (* 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))))))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 u2 (.f64 u2 (.f64 #s(literal 1/36 binary64) (fma.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64)) (.f64 (log.f64 u1) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 256/45 binary64)) (.f64 u2 u2)))))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 u2 (.f64 u2 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 u2 (.f64 u2 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))

rewrite648.0ms (5%)

Memory

21.6MiB live, 1 110.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 420×	`lower-*.f32`
5 394×	`lower-*.f64`
4 842×	`lower-fma.f32`
4 836×	`lower-fma.f64`
4 084×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	311
0	95	267
1	303	267
2	1542	265
0	8587	261

Stop Event

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

Counts

24 → 1 669

Calls

Call 1

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

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

eval529.0ms (4.1%)

Memory: 1.6MiB live, 839.9MiB allocated
Compiler: Compiled 134 544 to 5 450 computations (95.9% saved)

prune272.0ms (2.1%)

Memory

-3.7MiB live, 529.6MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	2 653	14	2 667
Fresh	10	2	12
Picked	5	0	5
Done	0	0	0
Total	2 668	16	2 684

Accuracy

100.0%

Counts

2 684 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
	99.1%	(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	97.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
▶	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 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	97.3%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	97.1%	(.f64 #s(approx (- 1/4 (pow ( (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
	99.2%	(exp.f64 (log.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
▶	99.5%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)))
▶	97.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
▶	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
▶	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	97.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	97.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))

Compiler

Compiled 658 to 494 computations (24.9% saved)

simplify230.0ms (1.8%)

Memory

14.1MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	cost-diff	0	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓	cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	19328	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))
✓	cost-diff	320	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 u1))
✓	cost-diff	0	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)))

Rules

2 292×	`lower-fma.f32`
2 284×	`lower-fma.f64`
1 894×	`lower-*.f32`
1 866×	`lower-*.f64`
1 154×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	495
0	105	472
1	186	456
2	300	456
3	507	456
4	669	456
5	895	456
6	1515	456
7	2355	456
8	3276	456
9	3549	456
10	3640	456
11	3861	456
12	4282	456
13	4396	456
14	4454	456
15	4487	456
16	4503	456
17	4505	456
18	4617	456
19	4665	456
20	4665	456
21	4665	456
22	4665	456
0	4665	445

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize203.0ms (1.6%)

Memory

30.4MiB live, 333.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓	accuracy	99.5%	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.3%	(.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
✓	accuracy	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	accuracy	99.4%	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓	accuracy	99.3%	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	accuracy	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓	accuracy	99.8%	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.5%	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.4%	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))))
✓	accuracy	99.8%	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	accuracy	99.7%	(*.f64 u2 (PI.f64))
✓	accuracy	99.6%	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))

Samples

114.0ms

256×

valid

Compiler

Compiled 387 to 57 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

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

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

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

const: 7.0ms (8.4% of total)

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

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

ival-sqrt: 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)

series40.0ms (0.3%)

Memory

-26.8MiB live, 50.2MiB allocated

Counts

27 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify428.0ms (3.3%)

Memory

35.4MiB live, 622.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 684×	`lower-fma.f64`
13 684×	`lower-fma.f32`
4 958×	`lower-*.f64`
4 958×	`lower-*.f32`
4 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	5950
1	616	5758
2	1993	5626
3	2758	5550
4	4331	5546
5	5890	5546
6	7468	5546
0	8009	5276

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite411.0ms (3.2%)

Memory

-14.3MiB live, 545.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 738×	`lower-*.f32`
4 710×	`lower-*.f64`
4 592×	`lower-fma.f32`
4 584×	`lower-fma.f64`
3 770×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	384
0	105	330
1	348	323
2	2011	323
0	8756	312

Stop Event

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

Counts

27 → 780

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64))))
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(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
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eval182.0ms (1.4%)

Memory: 12.3MiB live, 399.0MiB allocated
Compiler: Compiled 41 092 to 2 191 computations (94.7% saved)

prune150.0ms (1.2%)

Memory

32.8MiB live, 326.8MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 470	14	1 484
Fresh	6	5	11
Picked	3	2	5
Done	0	0	0
Total	1 479	21	1 500

Accuracy

100.0%

Counts

1 500 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
	97.9%	(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	97.9%	(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
▶	97.3%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	97.1%	(.f64 #s(approx (- 1/4 (pow ( (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
✓	99.5%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 u2 u2) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
▶	97.4%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	99.6%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	96.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
	97.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	97.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(approx (- 1/4 (* (* -2 (log u1)) 1/36)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (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) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))

Compiler

Compiled 785 to 609 computations (22.4% saved)

simplify18.0ms (0.1%)

Memory

-1.5MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
✓	cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(neg.f64 (log.f64 u1))
✓	cost-diff	0	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
✓	cost-diff	0	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
✓	cost-diff	0	(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

Rules

222×	`lower-*.f32`
202×	`lower-*.f64`
80×	`*-commutative`
78×	`associate-r`
76×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	446
0	103	449
1	168	422
2	216	422
3	253	422
4	257	422
5	261	422
6	269	422
7	270	422
0	270	421

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize571.0ms (4.4%)

Memory

-16.8MiB live, 487.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))
✓	accuracy	99.4%	(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	98.4%	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓	accuracy	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.7%	(*.f64 (PI.f64) u2)
✓	accuracy	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.8%	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
✓	accuracy	100.0%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	accuracy	99.6%	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	97.8%	#s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	accuracy	99.7%	(*.f64 u2 (PI.f64))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))

Samples

153.0ms

256×

valid

Compiler

Compiled 361 to 53 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 70.0ms (57.8% of total)

ival-add: 14.0ms (11.6% of total)

ival-pow: 12.0ms (9.9% of total)

ival-cos: 5.0ms (4.1% of total)

ival-sqrt: 5.0ms (4.1% of total)

ival-pi: 4.0ms (3.3% of total)

ival-log: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

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

exact: 1.0ms (0.8% of total)

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

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

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

series26.0ms (0.2%)

Memory

24.8MiB live, 63.5MiB allocated

Counts

26 → 408

Calls

Call 1

Inputs
#s(alt #s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))) (patch (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 (log.f64 u1))) (patch (sqrt.f64 (neg.f64 (log.f64 u1))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 u1)) (patch (neg.f64 (log.f64 u1)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (patch (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (log.f64 u1)) (patch (.f64 #s(literal -2 binary64) (log.f64 u1)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<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 (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (sqrt 2)) (taylor 0 u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2))) (taylor 0 u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))))))) (taylor 0 u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor -inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor -inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor -inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (taylor -inf u2) (#s(alt #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) (taylor 0 u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) (taylor 0 u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) (taylor 0 u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) (taylor 0 u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 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 (* 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 (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/8)
0.0ms	u1	@	-inf	(* (sqrt (neg (log u1))) (* 1/6 (sqrt 2)))
0.0ms	u1	@	inf	(* (sqrt (neg (log u1))) (* 1/6 (sqrt 2)))
0.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/8)
0.0ms	u1	@	0	(pow (* -2 (log u1)) 1/8)

simplify576.0ms (4.5%)

Memory

-73.0MiB live, 853.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 048×	`lower-fma.f64`
18 048×	`lower-fma.f32`
7 486×	`lower-+.f64`
7 486×	`lower-+.f32`
6 506×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	6396
1	602	6184
2	2054	6012
3	2642	5916
4	4081	5904
5	5060	5904
6	5172	5904
7	5221	5904
8	5245	5904
9	5252	5904
10	5253	5904
11	6476	5904
12	7683	5904
0	8192	5652

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (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)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 1/6 (sqrt 2))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(+ (* 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))))))))
(* 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)))
(* 1/6 (* (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
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

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

rewrite405.0ms (3.1%)

Memory

19.8MiB live, 563.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 100×	`lower-fma.f32`
6 092×	`lower-fma.f64`
4 518×	`lower-*.f32`
4 498×	`lower-*.f64`
2 436×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	351
0	103	312
1	315	310
2	1291	305
0	8717	304

Stop Event

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

Counts

26 → 711

Calls

Call 1

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

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

eval166.0ms (1.3%)

Memory: 24.9MiB live, 292.6MiB allocated
Compiler: Compiled 36 548 to 2 374 computations (93.5% saved)

prune212.0ms (1.6%)

Memory

-10.6MiB live, 347.5MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 294	7	1 301
Fresh	4	10	14
Picked	3	2	5
Done	0	2	2
Total	1 301	21	1 322

Accuracy

100.0%

Counts

1 322 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	97.9%	(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	97.9%	(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	99.5%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 u2 u2) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))
✓	97.4%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(approx (* (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	96.9%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))) #s(approx ( (* 1/6 (sqrt 2)) (cos (* 2 (* u2 (PI))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	99.6%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) (fma.f64 (.f64 u2 u2) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	96.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/8) 4) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(approx (- 1/4 (* (* -2 (log u1)) 1/36)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	97.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (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) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	97.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))

Compiler

Compiled 1 445 to 507 computations (64.9% saved)

regimes192.0ms (1.5%)

Memory

-19.8MiB live, 226.3MiB allocated

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

39.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
28.0ms	(.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)))
19.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
18.0ms	u2
16.0ms	(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)

regimes106.0ms (0.8%)

Memory

31.8MiB live, 106.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

10 calls:

32.0ms	(+.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))
21.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
7.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
7.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
7.0ms	(.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)

regimes80.0ms (0.6%)

Memory

-24.7MiB live, 94.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

37.0ms	u1
6.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
5.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.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 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
98.1%	1	`u1`
98.1%	1	`u2`
98.1%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.1%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.1%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.1%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.1%	1	`(log.f64 u1)`
98.1%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes65.0ms (0.5%)

Memory

36.1MiB live, 74.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

32.0ms	(.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 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
4.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
4.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
98.1%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.1%	1	`u1`
98.1%	1	`u2`
98.1%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.1%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.1%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.1%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.1%	1	`(log.f64 u1)`
98.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes39.0ms (0.3%)

Memory

-27.0MiB live, 91.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

6.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
4.0ms	u1
4.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
4.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

Results

Accuracy	Segments	Branch
97.9%	1	`u1`
97.9%	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))`
97.9%	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)))`
97.9%	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)))`
97.9%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
97.9%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
97.9%	1	`(log.f64 u1)`
97.9%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
97.9%	1	`u2`
97.9%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes40.0ms (0.3%)

Memory

23.7MiB live, 62.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes58.0ms (0.4%)

Memory

-21.6MiB live, 22.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

10 calls:

39.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
97.3%	1	`u1`
97.3%	1	`u2`
97.3%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
97.3%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
97.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
97.3%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
97.3%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
97.3%	1	`(log.f64 u1)`
97.3%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
97.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes19.0ms (0.1%)

Memory

-8.5MiB live, 30.8MiB allocated

Accuracy

Total -62.3b remaining (-3567.9%)

Threshold costs -62.3b (-3567.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

4.0ms	u1
2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
97.3%	1	`u1`
97.3%	1	`u2`
97.3%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
97.3%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
97.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
97.3%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
97.3%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
97.3%	1	`(log.f64 u1)`
97.3%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
97.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	310
1	109	310
2	118	310
3	122	310
4	123	310

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.9s (14.9%)

Memory

58.6MiB live, 1 405.4MiB allocated

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
18 048×	`lower-fma.f64`
18 048×	`lower-fma.f32`
13 684×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	8301
1	966	7633
2	3756	7623
0	8099	7227
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47
0	83	1292
1	205	1260
2	623	1232
3	2201	1204
4	2811	1198
5	3922	1198
6	5352	1198
7	5480	1198
8	5542	1198
9	5559	1198
10	5565	1198
11	5565	1198
12	7993	1198
13	7993	1198
14	7993	1198
0	8013	1162
0	69	351
0	103	312
1	315	310
2	1291	305
0	8717	304
0	66	384
0	105	330
1	348	323
2	2011	323
0	8756	312
0	57	311
0	95	267
1	303	267
2	1542	265
0	8587	261
0	205	6396
1	602	6184
2	2054	6012
3	2642	5916
4	4081	5904
5	5060	5904
6	5172	5904
7	5221	5904
8	5245	5904
9	5252	5904
10	5253	5904
11	6476	5904
12	7683	5904
0	8192	5652
0	209	5950
1	616	5758
2	1993	5626
3	2758	5550
4	4331	5546
5	5890	5546
6	7468	5546
0	8009	5276

Stop Event

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

Compiler

Compiled 430 to 294 computations (31.6% saved)

preprocess59.0ms (0.5%)

Memory: -7.9MiB live, 148.3MiB allocated
Remove: (abs u2)
Compiler: Compiled 470 to 250 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	69	446
0	103	449
1	168	422
2	216	422
3	253	422
4	257	422
5	261	422
6	269	422
7	270	422
0	270	421

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	69	446
0	103	449
1	168	422
2	216	422
3	253	422
4	257	422
5	261	422
6	269	422
7	270	422
0	270	421

analyze23.0ms (0.2%)

sample2.0s (15.2%)

preprocess34.0ms (0.3%)

explain205.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize52.0ms (0.4%)

series83.0ms (0.6%)

simplify1.1s (8.7%)

rewrite274.0ms (2.1%)

eval158.0ms (1.2%)

prune56.0ms (0.4%)

simplify342.0ms (2.6%)

localize247.0ms (1.9%)

series119.0ms (0.9%)

simplify586.0ms (4.5%)

rewrite648.0ms (5%)

eval529.0ms (4.1%)

prune272.0ms (2.1%)

simplify230.0ms (1.8%)

localize203.0ms (1.6%)

series40.0ms (0.3%)

simplify428.0ms (3.3%)

rewrite411.0ms (3.2%)

eval182.0ms (1.4%)

prune150.0ms (1.2%)

simplify18.0ms (0.1%)

localize571.0ms (4.4%)

series26.0ms (0.2%)

simplify576.0ms (4.5%)

rewrite405.0ms (3.1%)

eval166.0ms (1.3%)

prune212.0ms (1.6%)

regimes192.0ms (1.5%)

regimes106.0ms (0.8%)

regimes80.0ms (0.6%)

regimes65.0ms (0.5%)

regimes39.0ms (0.3%)

regimes40.0ms (0.3%)

regimes58.0ms (0.4%)

regimes19.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.9s (14.9%)

preprocess59.0ms (0.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	69	446
0	103	449
1	168	422
2	216	422
3	253	422
4	257	422
5	261	422
6	269	422
7	270	422
0	270	421