Metrics for normal distribution

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze24.0ms (0.3%)

Memory

4.6MiB live, 37.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

sample1.9s (23.4%)

Memory

50.4MiB live, 1 515.0MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-<=: 288.0ms (26.8% of total)

ival-cosu: 226.0ms (21% of total)

ival-mult: 156.0ms (14.5% of total)

ival-div: 136.0ms (12.6% of total)

ival-log: 119.0ms (11.1% of total)

ival-sqrt: 64.0ms (5.9% of total)

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

exact: 23.0ms (2.1% of total)

ival-and: 22.0ms (2% of total)

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

Bogosity

explain346.0ms (4.3%)

Memory

21.1MiB live, 310.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

70.0ms

512×

valid

Compiler

Compiled 355 to 144 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 15.0ms (34.8% of total)

ival-log: 7.0ms (16.2% of total)

ival-cosu: 6.0ms (13.9% of total)

ival-div: 4.0ms (9.3% of total)

ival-sqrt: 3.0ms (7% of total)

ival-pi: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess56.0ms (0.7%)

Memory

-2.5MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs u2)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify5.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (0.9%)

Memory

-21.2MiB live, 53.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
accuracy	0.078125	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.25390625	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.37890625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 168 to 38 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cosu: 26.0ms (58.8% of total)

ival-mult: 7.0ms (15.8% of total)

ival-log: 4.0ms (9% of total)

ival-div: 2.0ms (4.5% of total)

ival-sqrt: 2.0ms (4.5% of total)

ival-pi: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series84.0ms (1%)

Memory

23.0MiB live, 101.0MiB allocated

Counts

6 → 20

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	u1	@	0	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
20.0ms	u1	@	-inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
16.0ms	u2	@	inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
9.0ms	u1	@	inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
6.0ms	u2	@	-inf	((pow (* -2 (log u1)) 1/2) (/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))

simplify575.0ms (7.1%)

Memory

18.4MiB live, 238.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	448
1	205	428
2	623	400
3	2205	372
4	2807	366
5	3929	366
6	5359	366
7	5487	366
8	5549	366
9	5566	366
10	5572	366
11	5572	366
12	8000	366
13	8000	366
14	8000	366
0	8020	347

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite159.0ms (2%)

Memory

-1.2MiB live, 125.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 176

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 u1))))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
#s(literal 1/6 binary64)
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))
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eval24.0ms (0.3%)

Memory: -7.3MiB live, 31.0MiB allocated
Compiler: Compiled 6 699 to 734 computations (89% saved)

prune27.0ms (0.3%)

Memory

-24.8MiB live, 22.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	12	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	12	197

Accuracy

100.0%

Counts

197 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
▶	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
	99.2%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
▶	99.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.0%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (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 (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.2%	(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
▶	0.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))

Compiler

Compiled 566 to 486 computations (14.1% saved)

simplify10.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 u1)
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff	0	(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
cost-diff	19328	(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	12288	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	398
0	92	377
1	150	371
2	189	371
3	204	371
4	206	371
5	210	371
6	218	371
7	219	371
0	219	370

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize171.0ms (2.1%)

Memory

13.7MiB live, 165.5MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

102.0ms

256×

invalid

Compiler

Compiled 795 to 107 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 25.0ms (37.4% of total)

ival-sqrt: 10.0ms (15% of total)

ival-add: 6.0ms (9% of total)

ival-pow: 5.0ms (7.5% of total)

ival-log: 4.0ms (6% of total)

const: 4.0ms (6% of total)

ival-cosu: 3.0ms (4.5% of total)

ival-pow2: 3.0ms (4.5% of total)

ival-div: 2.0ms (3% of total)

ival-cos: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series146.0ms (1.8%)

Memory

15.9MiB live, 204.2MiB allocated

Counts

25 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	u1	@	0	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (sqrt (* (log u1) -2)) (* 2 (PI)))
34.0ms	u2	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (sqrt (* (log u1) -2)) (* 2 (PI)))
32.0ms	u1	@	-inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (sqrt (* (log u1) -2)) (* 2 (PI)))
26.0ms	u1	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (sqrt (* (log u1) -2)) (* 2 (PI)))
8.0ms	u2	@	-inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* 1/6 (sqrt -2)) (sqrt (log u1))) 1/2) (* 1/6 (sqrt -2)) (sqrt -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (pow (* (log u1) -2) 1/4) (* (log u1) -2) (log u1) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (sqrt (log u1)) (sqrt (* (log u1) -2)) (* 2 (PI)))

simplify502.0ms (6.2%)

Memory

-15.1MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	818
1	351	780
2	1133	740
3	1724	716
4	2345	716
5	2904	716
6	2988	716
7	3036	716
8	3112	716
9	3161	716
10	3192	716
11	3254	716
12	3254	716
13	3254	716
14	6097	695
0	8125	661

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite219.0ms (2.7%)

Memory

-20.6MiB live, 186.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	256
0	92	228
1	271	224
2	1098	224
0	5859	221

Stop Event

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

Counts

25 → 712

Calls

Call 1

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

Outputs
#s(literal 1/6 binary64)
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(.f64 (+.f64 (cos.f64 (.f64 u2 (PI.f64))) (sin.f64 (.f64 u2 (PI.f64)))) (-.f64 (cos.f64 (.f64 u2 (PI.f64))) (sin.f64 (*.f64 u2 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 u2 (PI.f64))) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 (.f64 u2 (PI.f64))) (cos.f64 (.f64 u2 (PI.f64))) (.f64 (neg.f64 (sin.f64 (.f64 u2 (PI.f64)))) (sin.f64 (*.f64 u2 (PI.f64)))))
(fma.f64 (cos.f64 (.f64 u2 (PI.f64))) (cos.f64 (.f64 u2 (PI.f64))) (neg.f64 (pow.f64 (sin.f64 (*.f64 u2 (PI.f64))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 (.f64 u2 (PI.f64)))) (sin.f64 (.f64 u2 (PI.f64)))))
(+.f64 (pow.f64 (cos.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 (.f64 u2 (PI.f64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 u1) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 u1))
(exp.f64 (fma.f64 (log.f64 (log.f64 u1)) #s(literal 1/4 binary64) (log.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (*.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (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))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))

eval125.0ms (1.5%)

Memory: 32.4MiB live, 226.9MiB allocated
Compiler: Compiled 30 645 to 3 029 computations (90.1% saved)

prune26.0ms (0.3%)

Memory

-10.3MiB live, 64.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	860	10	870
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	870	12	882

Accuracy

100.0%

Counts

882 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
▶	99.2%	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.6%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
▶	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))))))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
▶	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

Compiler

Compiled 771 to 649 computations (15.8% saved)

simplify220.0ms (2.7%)

Memory

-28.7MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	446
0	100	437
1	177	421
2	307	421
3	576	421
4	957	421
5	1352	421
6	1561	421
7	1796	421
8	2151	421
9	2395	421
10	2529	421
11	2839	421
12	3095	421
13	3295	421
14	3499	421
15	3736	421
16	3823	421
17	3864	421
18	3884	421
19	4270	421
20	4404	421
21	4406	421
22	4406	421
23	4406	421
24	4406	421
25	4414	421
0	4414	410

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize213.0ms (2.6%)

Memory

25.1MiB live, 292.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
accuracy	0.45054628907376815	(fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.4599800293053261	(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
accuracy	0.45054628907376815	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.4599800293053261	(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
accuracy	0.46712875976844204	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
accuracy	0.01171875	(.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
accuracy	0.08203125	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.17361488388836016	#s(approx (cos (* u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
accuracy	0.359375	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0	(log.f64 u1)
accuracy	0.08203125	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.36328125	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.03515625	(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.1328125	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.2265625	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy	0.25390625	(*.f64 (PI.f64) u2)

Samples

131.0ms

256×

valid

Compiler

Compiled 823 to 133 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 34.0ms (34.1% of total)

ival-div: 14.0ms (14% of total)

const: 14.0ms (14% of total)

ival-add: 10.0ms (10% of total)

ival-sqrt: 7.0ms (7% of total)

ival-pow: 5.0ms (5% of total)

ival-log: 4.0ms (4% of total)

ival-cos: 4.0ms (4% of total)

ival-cosu: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series66.0ms (0.8%)

Memory

21.6MiB live, 104.1MiB allocated

Counts

23 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	u1	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (* (sqrt 2) 1/6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (/ 1 (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))) (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))
13.0ms	u1	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (* (sqrt 2) 1/6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (/ 1 (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))) (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))
13.0ms	u1	@	0	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (* (sqrt 2) 1/6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (/ 1 (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))) (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))
9.0ms	u2	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (* (sqrt 2) 1/6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (/ 1 (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))) (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))
9.0ms	u2	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) (* (sqrt 2) 1/6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) 1/6) 1/2) (* (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) (cos (* u2 (* (PI) 2))) (+ (* (* (* u2 u2) -2) (* (PI) (PI))) 1) (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (* (log u1) -2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (/ 1 (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))) (neg (+ (* 1/36 (* (log u1) -2)) -1/4)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2) (+ (* -1/6 (sqrt (* (log u1) -2))) 1/2))

simplify169.0ms (2.1%)

Memory

6.8MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1145
1	615	1091
2	2023	1040
3	2729	1010
4	4477	1008
5	6310	1008
0	8241	942

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

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

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

rewrite195.0ms (2.4%)

Memory

-2.3MiB live, 235.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	337
0	100	306
1	334	299
2	2016	282
0	8697	271

Stop Event

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

Counts

23 → 822

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (log.f64 u1)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))

eval138.0ms (1.7%)

Memory: 10.8MiB live, 205.8MiB allocated
Compiler: Compiled 46 565 to 3 709 computations (92% saved)

prune326.0ms (4%)

Memory

-56.8MiB live, 117.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	966	6	972
Fresh	4	2	6
Picked	2	3	5
Done	0	1	1
Total	972	12	984

Accuracy

100.0%

Counts

984 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	99.2%	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.5%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	99.6%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
▶	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 #s(approx (neg (+ ( 1/36 (* (log u1) -2)) -1/4)) (fma.f64 #s(literal 1/18 binary64) (log.f64 u1) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

Compiler

Compiled 657 to 568 computations (13.5% saved)

simplify122.0ms (1.5%)

Memory

-16.2MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
cost-diff	320	(fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
cost-diff	128	(neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)))
cost-diff	0	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(.f64 (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	429
0	103	401
1	174	392
2	274	392
3	398	384
4	634	384
5	1236	384
6	3460	384
7	4985	384
8	6485	384
9	6779	384
10	7151	384
11	7522	384
12	7985	384
0	8014	382

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (2.1%)

Memory

10.6MiB live, 249.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4599800293053261	(fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
accuracy	0.46712875976844204	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.510097509768442	(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
accuracy	0.37890625	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.4599800293053261	(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))
accuracy	0.46712875976844204	(/.f64 (neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (neg.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
accuracy	0.01171875	(.f64 (cos.f64 (.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
accuracy	0.08203125	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.25390625	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.36328125	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy	0.36328125	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.7859100246106269	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
accuracy	0.1328125	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.25390625	(*.f64 (PI.f64) u2)
accuracy	0.39453125	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))
accuracy	0.4186325195368841	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Samples

125.0ms

256×

valid

Compiler

Compiled 816 to 132 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 34.0ms (34.8% of total)

const: 10.0ms (10.2% of total)

ival-add: 9.0ms (9.2% of total)

ival-div: 8.0ms (8.2% of total)

ival-pow: 8.0ms (8.2% of total)

ival-sqrt: 7.0ms (7.2% of total)

ival-log: 4.0ms (4.1% of total)

ival-cos: 4.0ms (4.1% of total)

ival-cosu: 3.0ms (3.1% of total)

ival-pow2: 3.0ms (3.1% of total)

ival-pi: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series85.0ms (1.1%)

Memory

-1.7MiB live, 115.4MiB allocated

Counts

25 → 68

Calls

Call 1

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

Outputs
(+ 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)))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(/ 1 (+ 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)))))
(* (log u1) (pow (sqrt -2) 2))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -2))
(- (* -1/18 (log u1)) 1/4)
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(/ 1 (+ 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 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(- (* 1/18 (log (/ 1 u1))) 1/4)
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(- 1/4 (* -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)))))))))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (+ (* -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 (* (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))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
1/6
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (* (sqrt (neg (log u1))) 1/6) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (pow (sqrt (* (log u1) -2)) 2) (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (+ (* -1/18 (log u1)) -1/4) (* (sqrt (* (log u1) -2)) 1/6))
22.0ms	u1	@	0	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (* (sqrt (neg (log u1))) 1/6) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (pow (sqrt (* (log u1) -2)) 2) (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (+ (* -1/18 (log u1)) -1/4) (* (sqrt (* (log u1) -2)) 1/6))
19.0ms	u1	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (* (sqrt (neg (log u1))) 1/6) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (pow (sqrt (* (log u1) -2)) 2) (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (+ (* -1/18 (log u1)) -1/4) (* (sqrt (* (log u1) -2)) 1/6))
10.0ms	u2	@	-inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (* (sqrt (neg (log u1))) 1/6) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (pow (sqrt (* (log u1) -2)) 2) (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (+ (* -1/18 (log u1)) -1/4) (* (sqrt (* (log u1) -2)) 1/6))
8.0ms	u2	@	inf	((+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (+ (* (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (cos (* (* (PI) u2) 2))) 1/2) (* (* (sqrt (neg (log u1))) 1/6) (sqrt 2)) (* (sqrt (neg (log u1))) 1/6) (/ 1 (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2))) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (neg (+ (* -1/18 (log u1)) -1/4)) (- 1/2 (* (sqrt (* (log u1) -2)) 1/6))) (pow (sqrt (* (log u1) -2)) 2) (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (+ (* 1/36 (pow (sqrt (* (log u1) -2)) 2)) -1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (PI) u2) (sqrt (neg (log u1))) (sqrt (* (log u1) -2)) (+ (* -1/18 (log u1)) -1/4) (* (sqrt (* (log u1) -2)) 1/6))

simplify161.0ms (2%)

Memory

6.2MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1157
1	638	1064
2	2109	1029
3	3058	1003
4	5196	1003
0	8217	935

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

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 -1) (sqrt 2))) (sqrt (log u1)))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(/ 1 (+ 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)))))
(* (log u1) (pow (sqrt -2) 2))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -2))
(- (* -1/18 (log u1)) 1/4)
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(/ 1 (+ 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 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(- (* 1/18 (log (/ 1 u1))) 1/4)
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(- 1/4 (* -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)))))))))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (+ (* -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 (* (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))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
1/6
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))

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

rewrite98.0ms (1.2%)

Memory

13.8MiB live, 95.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	330
0	103	283
1	352	275
0	1850	273

Stop Event

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

Counts

25 → 447

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 1/6 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)))
(.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/144 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
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eval77.0ms (1%)

Memory: -8.7MiB live, 102.7MiB allocated
Compiler: Compiled 20 284 to 1 879 computations (90.7% saved)

prune69.0ms (0.9%)

Memory

-6.1MiB live, 49.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	490	2	492
Fresh	0	3	3
Picked	2	3	5
Done	0	4	4
Total	492	12	504

Accuracy

100.0%

Counts

504 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	99.2%	(fma.f64 (.f64 #s(approx (cos ( u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.2%	(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	99.5%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	99.6%	#s(approx (+ (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) (* (cos (* u2 (* (PI) 2))) 1/6))) 1/2) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
	98.1%	#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)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
✓	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
✓	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 #s(approx (neg (+ ( 1/36 (* (log u1) -2)) -1/4)) (fma.f64 #s(literal 1/18 binary64) (log.f64 u1) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 346 to 531 computations (60.5% saved)

regimes103.0ms (1.3%)

Memory

4.1MiB live, 161.8MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

13.0ms	(.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)))
13.0ms	u2
12.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
11.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
9.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.6%	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 71 to 78 computations (-9.9% saved)

regimes53.0ms (0.7%)

Memory

-11.8MiB live, 102.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

10 calls:

8.0ms	(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)))
6.0ms	u1
5.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (/.f64 #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 71 to 78 computations (-9.9% saved)

regimes68.0ms (0.8%)

Memory

12.9MiB live, 58.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

44.0ms	(.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 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.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	(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))

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes17.0ms (0.2%)

Memory

-3.7MiB live, 35.3MiB allocated

Accuracy

Total -62.9b remaining (-5507.3%)

Threshold costs -62.9b (-5507.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

2.0ms	(*.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	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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)))

Results

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

Compiler

Compiled 71 to 78 computations (-9.9% saved)

simplify24.0ms (0.3%)

Memory

7.7MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	109
1	72	109
2	74	109
3	75	109

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (14.9%)

Memory

-11.3MiB live, 548.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1157
1	638	1064
2	2109	1029
3	3058	1003
4	5196	1003
0	8217	935
0	83	448
1	205	428
2	623	400
3	2205	372
4	2807	366
5	3929	366
6	5359	366
7	5487	366
8	5549	366
9	5566	366
10	5572	366
11	5572	366
12	8000	366
13	8000	366
14	8000	366
0	8020	347
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47
0	54	256
0	92	228
1	271	224
2	1098	224
0	5859	221
0	131	818
1	351	780
2	1133	740
3	1724	716
4	2345	716
5	2904	716
6	2988	716
7	3036	716
8	3112	716
9	3161	716
10	3192	716
11	3254	716
12	3254	716
13	3254	716
14	6097	695
0	8125	661

Stop Event

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

Compiler

Compiled 223 to 169 computations (24.2% saved)

preprocess41.0ms (0.5%)

Memory: 8.3MiB live, 82.6MiB allocated
Remove: (abs u2)
Compiler: Compiled 596 to 422 computations (29.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	54	398
0	92	377
1	150	371
2	189	371
3	204	371
4	206	371
5	210	371
6	218	371
7	219	371
0	219	370

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	54	398
0	92	377
1	150	371
2	189	371
3	204	371
4	206	371
5	210	371
6	218	371
7	219	371
0	219	370

start0.0ms (0%)

analyze24.0ms (0.3%)

sample1.9s (23.4%)

explain346.0ms (4.3%)

preprocess56.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize71.0ms (0.9%)

series84.0ms (1%)

simplify575.0ms (7.1%)

rewrite159.0ms (2%)

eval24.0ms (0.3%)

prune27.0ms (0.3%)

simplify10.0ms (0.1%)

localize171.0ms (2.1%)

series146.0ms (1.8%)

simplify502.0ms (6.2%)

rewrite219.0ms (2.7%)

eval125.0ms (1.5%)

prune26.0ms (0.3%)

simplify220.0ms (2.7%)

localize213.0ms (2.6%)

series66.0ms (0.8%)

simplify169.0ms (2.1%)

rewrite195.0ms (2.4%)

eval138.0ms (1.7%)

prune326.0ms (4%)

simplify122.0ms (1.5%)

localize173.0ms (2.1%)

series85.0ms (1.1%)

simplify161.0ms (2%)

rewrite98.0ms (1.2%)

eval77.0ms (1%)

prune69.0ms (0.9%)

regimes103.0ms (1.3%)

regimes53.0ms (0.7%)

regimes68.0ms (0.8%)

regimes17.0ms (0.2%)

simplify24.0ms (0.3%)

soundness1.2s (14.9%)

preprocess41.0ms (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	54	398
0	92	377
1	150	371
2	189	371
3	204	371
4	206	371
5	210	371
6	218	371
7	219	371
0	219	370