Metrics for normal distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.5%)

Memory

2.4MiB live, 37.4MiB 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 (22.3%)

Memory

46.6MiB live, 1 512.9MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 982.0ms

ival-log: 273.0ms (27.8% of total)

ival-mult: 192.0ms (19.5% of total)

ival-div: 160.0ms (16.3% of total)

ival-<=: 119.0ms (12.1% of total)

ival-cosu: 88.0ms (9% of total)

ival-sqrt: 63.0ms (6.4% of total)

ival-add: 40.0ms (4.1% of total)

ival-and: 22.0ms (2.2% of total)

exact: 22.0ms (2.2% of total)

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

Bogosity

explain189.0ms (2.2%)

Memory

-6.3MiB live, 243.1MiB 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 189 to 58 computations (69.3% saved)

Precisions

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

ival-mult: 21.0ms (42.7% of total)

ival-log: 7.0ms (14.2% of total)

ival-cosu: 6.0ms (12.2% of total)

ival-pi: 5.0ms (10.2% of total)

ival-div: 4.0ms (8.1% of total)

ival-sqrt: 3.0ms (6.1% of total)

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

exact: 1.0ms (2% of total)

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

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

preprocess36.0ms (0.4%)

Memory

-17.5MiB live, 20.4MiB 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	436	82
5	499	82
6	581	82
7	622	82
8	678	82
9	700	82
10	700	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

0.7MiB live, 0.7MiB 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)

simplify4.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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	1	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff	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))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 6 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

localize43.0ms (0.5%)

Memory

7.3MiB live, 47.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
accuracy	0.12109375	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.30859375	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.37109375	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (35.3% of total)

ival-cosu: 3.0ms (15.1% of total)

ival-log: 3.0ms (15.1% of total)

ival-div: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-pi: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

exact: 1.0ms (5% of total)

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

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

series117.0ms (1.3%)

Memory

-2.6MiB live, 106.5MiB allocated

Counts

6 → 20

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)) (pow.f64 (.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))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (sqrt (log u1)) (sqrt -2))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* 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 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (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
52.0ms	u1	@	-inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
30.0ms	u1	@	0	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
13.0ms	u2	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (* (* 2 (PI)) u2))
10.0ms	u2	@	-inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))

simplify572.0ms (6.6%)

Memory

19.9MiB live, 286.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	448
1	204	428
2	622	400
3	2208	372
4	2810	366
5	3921	366
6	5351	366
7	5482	366
8	5544	366
9	5561	366
10	5567	366
11	5567	366
12	7995	366
13	7995	366
14	7995	366
0	8015	347

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

rewrite169.0ms (1.9%)

Memory

2.7MiB live, 132.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	30	48
1	81	48
2	372	48
0	2881	47

Stop Event

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

Counts

6 → 176

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

eval36.0ms (0.4%)

Memory: 1.0MiB live, 39.0MiB allocated
Compiler: Compiled 6 699 to 732 computations (89.1% saved)

prune16.0ms (0.2%)

Memory

-8.8MiB live, 28.3MiB 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 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	99.1%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	99.2%	(-.f64 (/.f64 (pow.f64 (.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 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 #s(literal 1/4 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))))
	99.0%	(+.f64 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.1%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 (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 (.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))
	99.1%	(.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))

Compiler

Compiled 652 to 496 computations (23.9% saved)

simplify11.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	445
0	101	409
1	160	409
2	198	409
3	234	409
4	237	409
5	255	409
6	263	409
7	264	409
0	264	408

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

localize157.0ms (1.8%)

Memory

15.3MiB live, 169.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 u1)
accuracy	0.0	(exp.f64 #s(literal 1/2 binary64))
accuracy	0.0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.99849058512738	(PI.f64)
accuracy	0.0	(log.f64 u1)
accuracy	0.0	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
accuracy	0.0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.99849058512738	(PI.f64)
accuracy	0.0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.0	(log.f64 u1)
accuracy	0.0	(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	61.99849058512738	(PI.f64)
accuracy	0.0	(sqrt.f64 (log.f64 u1))
accuracy	0.0	(sqrt.f64 #s(literal -2 binary64))
accuracy	0.0	(log.f64 u1)
accuracy	0.0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 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)))
accuracy	0.0	(log.f64 u1)
accuracy	0.0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	0.0	#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

121.0ms

256×

invalid

Compiler

Compiled 435 to 51 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 29.0ms (37.9% of total)

ival-sqrt: 9.0ms (11.8% of total)

ival-log: 7.0ms (9.2% of total)

ival-add: 6.0ms (7.8% of total)

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

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

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

const: 4.0ms (5.2% of total)

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

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

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

exact: 1.0ms (1.3% of total)

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

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

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

series242.0ms (2.8%)

Memory

-16.4MiB live, 251.1MiB allocated

Counts

25 → 42

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

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))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(* (sqrt (log u1)) (sqrt -2))
(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)))))
(/ 1 (+ 1/2 (* 1/6 (* (* (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))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (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))))))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (sqrt -2) (sqrt (+ (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)))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	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) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (exp (* (log (* (log u1) -2)) 1/2)) (+ (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (sqrt (* (log u1) -2)) (exp 1/2))
56.0ms	u1	@	0	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (exp (* (log (* (log u1) -2)) 1/2)) (+ (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (sqrt (* (log u1) -2)) (exp 1/2))
49.0ms	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) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (exp (* (log (* (log u1) -2)) 1/2)) (+ (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (sqrt (* (log u1) -2)) (exp 1/2))
33.0ms	u1	@	inf	((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (exp (* (log (* (log u1) -2)) 1/2)) (+ (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (sqrt (* (log u1) -2)) (exp 1/2))
32.0ms	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) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (exp (* (log (* (log u1) -2)) 1/2)) (+ (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (exp (* (log (* (log u1) -2)) 1/2))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (* (log u1) -2))) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (sqrt (* (log u1) -2)) (exp 1/2))

simplify320.0ms (3.7%)

Memory

19.2MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1073
1	435	1037
2	1619	1003
3	3932	971
0	8076	915

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

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))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(* (sqrt (log u1)) (sqrt -2))
(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)))))
(/ 1 (+ 1/2 (* 1/6 (* (* (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))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (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))))))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (sqrt -2) (sqrt (+ (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)))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))

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))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #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 #s(literal 1/6 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 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 (* (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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 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 #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 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (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 (neg.f64 (log.f64 u1))))
(* -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))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (-.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)))
(+ (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 (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)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (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 #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))))
(+ (* 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))) (.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))))))))
(/ 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)))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) (.f64 u2 u2)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.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))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 u2) u2) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/9 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (.f64 u2 u2) (/.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))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 u2 u2) (fma.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/9 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64))) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/9 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))) (.f64 u2 u2) (/.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
#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 (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 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))

rewrite194.0ms (2.2%)

Memory

-7.3MiB live, 67.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	285
0	101	251
1	288	247
0	1022	244

Stop Event

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

Counts

25 → 328

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

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

eval33.0ms (0.4%)

Memory: -33.0MiB live, 59.6MiB allocated
Compiler: Compiled 8 488 to 1 014 computations (88.1% saved)

prune15.0ms (0.2%)

Memory

1.6MiB live, 40.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	262	10	272
Fresh	5	2	7
Picked	5	0	5
Done	0	0	0
Total	272	12	284

Accuracy

100.0%

Counts

284 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.1%	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	99.0%	(+.f64 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.5%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.8%	#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)))
▶	99.0%	#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)))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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))))
▶	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
▶	99.7%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))

Compiler

Compiled 718 to 592 computations (17.5% saved)

simplify452.0ms (5.2%)

Memory

4.9MiB live, 125.8MiB 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 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
cost-diff	1	(-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	2	(.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
cost-diff	5	(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
cost-diff	0	#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 #s(literal 1/6 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 #s(literal 1/6 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	1	(+.f64 (.f64 (.f64 #s(literal 1/6 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	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	(fma.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))) (.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 #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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.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 (log.f64 u1) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	537
0	110	527
1	183	523
2	293	511
3	472	503
4	632	503
5	851	503
6	1030	503
7	1198	503
8	1743	503
9	2139	503
10	2955	503
11	3241	503
12	3411	503
13	3546	503
14	3595	503
15	3705	503
16	4264	503
17	4769	503
18	5151	503
19	5476	503
20	5545	503
21	5692	503
22	5738	503
23	5738	503
24	5738	503
25	5802	503
26	5904	503
27	6016	503
28	6064	503
29	6064	503
30	6064	503
31	6104	503
32	6312	503
33	6641	503
34	6641	503
35	6641	503
0	6641	496

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize211.0ms (2.4%)

Memory

12.8MiB live, 289.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3125	(.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.4628323225144477	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.48275375976844204	(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
accuracy	0.16015625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.30859375	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.37109375	(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy	0.4677925293053261	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.2421875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.0	(log.f64 u1)
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.31177336742918643	#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	0.359375	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.00390625	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))))
accuracy	0.16015625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.18359375	(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.30859375	(*.f64 (PI.f64) u2)

Samples

136.0ms

256×

valid

Compiler

Compiled 428 to 64 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 51.0ms (47.8% of total)

ival-add: 9.0ms (8.4% of total)

ival-pow: 8.0ms (7.5% of total)

ival-div: 7.0ms (6.6% of total)

ival-sqrt: 6.0ms (5.6% of total)

ival-log: 6.0ms (5.6% of total)

const: 4.0ms (3.8% of total)

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

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

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

ival-pow2: 2.0ms (1.9% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

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

series466.0ms (5.4%)

Memory

5.0MiB live, 243.0MiB allocated

Counts

27 → 73

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 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)))
(+.f64 (.f64 (.f64 #s(literal 1/6 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 #s(literal 1/6 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 #s(literal 1/6 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 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (PI.f64) u2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(log.f64 u1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(/ 1 (+ 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)))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(* (sqrt (log u1)) (sqrt -1))
(log u1)
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 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))))))
(+ 1/2 (* 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)))
(/ 1 (+ 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 (log (/ 1 u1))) (sqrt 2))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* -1 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (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)))))
(/ 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)))))))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (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 (sqrt 2))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -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)))))))))
(* u2 (PI))
(* 2 (* u2 (PI)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(cos (* 2 (* u2 (PI))))

Calls

6 calls:

Time	Variable		Point	Expression
246.0ms	u1	@	-inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 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) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
102.0ms	u1	@	inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 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) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
59.0ms	u2	@	inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 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) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
29.0ms	u1	@	0	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 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) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
23.0ms	u2	@	-inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 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) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))

simplify221.0ms (2.5%)

Memory

14.1MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1668
1	736	1562
2	2677	1492
3	5414	1492
0	8597	1404

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

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)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(/ 1 (+ 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)))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(* (sqrt (log u1)) (sqrt -1))
(log u1)
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 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))))))
(+ 1/2 (* 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)))
(/ 1 (+ 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 (log (/ 1 u1))) (sqrt 2))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* -1 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (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)))))
(/ 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)))))))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (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 (sqrt 2))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -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)))))))))
(* u2 (PI))
(* 2 (* u2 (PI)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(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 u2 (PI.f64)) #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 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))) (.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 (* 1/6 (* (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))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #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 u2 (PI.f64)) #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)))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(/ (- (* 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 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64)))
(- (* 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))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(log u1)
(log.f64 u1)
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(- (* 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 (* (* (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)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #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))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (*.f64 u2 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 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 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.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)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(/ (- (* -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)))
(- (* -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))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (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 (* (* (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 u2 (PI.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 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (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)))) #s(literal 1/2 binary64))
(+ 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 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 u2 (PI.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)))
(* 1/6 (* (* (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 u2 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (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)))))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(/ (- (* 1/36 (* (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 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/4 binary64)) (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)))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/4 binary64))
(* (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)))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(- (* 1/6 (* (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 (+ (* -1/3 (* (* (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)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 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)))
(+ 1/2 (+ (* 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 #s(literal -2/135 binary64) (.f64 (.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))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 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 -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)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 (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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 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 #s(literal -2/135 binary64) (.f64 (.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))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(* 1/6 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.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 u2 u2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
(fma.f64 (pow.f64 u2 #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (.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))))
(/ 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)))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) (.f64 u2 u2)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.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))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (sqrt.f64 (log.f64 u1)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -2 binary64)) (log.f64 u1)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64))) (.f64 u2 u2))) (.f64 u2 u2) (/.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))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -2 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))))) #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 #s(literal -2/135 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 u2 u2) (fma.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 u2 u2))) (.f64 u2 u2) (/.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
#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)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 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)))))))
(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (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 #s(literal -2/135 binary64) (.f64 (.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))))) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* 2 (* u2 (PI)))
(.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64)))

rewrite261.0ms (3%)

Memory

-22.1MiB live, 264.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	409
0	110	365
1	357	356
2	1977	348
0	8566	339

Stop Event

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

Counts

27 → 1 041

Calls

Call 1

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

eval174.0ms (2%)

Memory: 16.4MiB live, 323.3MiB allocated
Compiler: Compiled 56 625 to 4 587 computations (91.9% saved)

prune34.0ms (0.4%)

Memory

16.7MiB live, 100.1MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 127	10	1 137
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	1 135	14	1 149

Accuracy

100.0%

Counts

1 149 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
▶	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	99.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
✓	99.0%	#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)))
▶	98.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.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))))
	98.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 #s(approx (- (pow ( (sqrt (* (log u1) -2)) 1/6) 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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
	99.4%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/2 binary64)))
▶	99.7%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
▶	99.2%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))

Compiler

Compiled 908 to 780 computations (14.1% saved)

simplify32.0ms (0.4%)

Memory

9.9MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	487
0	108	481
1	181	478
2	273	478
3	446	478
4	674	478
5	843	478
6	857	478
7	890	478
8	892	478
9	998	478
10	998	478
11	998	478
12	1008	478
0	1008	473

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize342.0ms (3.9%)

Memory

-18.3MiB live, 191.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.31177336742918643	#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	0.40919877930532605	(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
accuracy	0.45541000976844204	(/.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	0.4628323225144477	(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy	0.30859375	(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.36328125	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.2421875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.3269699774014577	#s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64))
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
accuracy	0.0	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
accuracy	0.16015625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.18359375	(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.3256435095110671	#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
accuracy	0.04542717429718597	#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
accuracy	0.16015625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.18359375	(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.19921875	(.f64 (.f64 u2 u2) #s(literal -1/3 binary64))

Samples

303.0ms

256×

valid

Compiler

Compiled 389 to 63 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-sqrt: 132.0ms (47.9% of total)

ival-mult: 92.0ms (33.4% of total)

ival-add: 9.0ms (3.3% of total)

const: 9.0ms (3.3% of total)

ival-div: 7.0ms (2.5% of total)

ival-pow: 7.0ms (2.5% of total)

ival-log: 6.0ms (2.2% of total)

ival-exp: 4.0ms (1.5% of total)

ival-cosu: 3.0ms (1.1% of total)

ival-cos: 3.0ms (1.1% of total)

ival-pi: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series147.0ms (1.7%)

Memory

-23.7MiB live, 252.9MiB allocated

Counts

25 → 63

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
(.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(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
#s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(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 (.f64 u2 u2) #s(literal -1/3 binary64))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64)))
(PI.f64)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(- (* -1/18 (log u1)) 1/4)
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (sqrt -1))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 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))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (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))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (+ (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))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (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 (sqrt 2))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -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)))))))))
(* -1/3 (pow u2 2))
(* 2 (* u2 (PI)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))))
(* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/6 (/ (sqrt 2) (pow u2 2)))))
(cos (* 2 (* u2 (PI))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	u1	@	inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* 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)) (* (* u2 u2) -1/3) (sqrt (neg (log u1))) (* (sqrt (* (log u1) -2)) 1/6) (* u2 (* (PI) 2)) (PI) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
29.0ms	u1	@	0	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* 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)) (* (* u2 u2) -1/3) (sqrt (neg (log u1))) (* (sqrt (* (log u1) -2)) 1/6) (* u2 (* (PI) 2)) (PI) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
28.0ms	u1	@	-inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* 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)) (* (* u2 u2) -1/3) (sqrt (neg (log u1))) (* (sqrt (* (log u1) -2)) 1/6) (* u2 (* (PI) 2)) (PI) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
27.0ms	u2	@	inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* 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)) (* (* u2 u2) -1/3) (sqrt (neg (log u1))) (* (sqrt (* (log u1) -2)) 1/6) (* u2 (* (PI) 2)) (PI) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
22.0ms	u2	@	-inf	((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* (sqrt 2) 1/6) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) 1/6) 1/2) (* (sqrt (* (log u1) -2)) (cos (* u2 (* (PI) 2)))) (sqrt (* (log u1) -2)) (* (log u1) -2) (+ (* 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)) (* (* u2 u2) -1/3) (sqrt (neg (log u1))) (* (sqrt (* (log u1) -2)) 1/6) (* u2 (* (PI) 2)) (PI) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))

simplify204.0ms (2.3%)

Memory

22.6MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1543
1	782	1485
2	2872	1415
3	5586	1415
0	8667	1328

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(- (* -1/18 (log u1)) 1/4)
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (sqrt -1))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 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))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(/ 1 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (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))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (+ (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))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (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 (sqrt 2))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
(+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -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)))))))))
(* -1/3 (pow u2 2))
(* 2 (* u2 (PI)))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))))
(* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/6 (/ (sqrt 2) (pow u2 2)))))
(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 u2 (PI.f64)) #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 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))) (.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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
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(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 u2) u2) (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -2 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)))) (/.f64 (.f64 (.f64 #s(literal -2/135 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (sqrt.f64 (log.f64 u1)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -2 binary64)) (log.f64 u1)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)))) (.f64 u2 u2) (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 u1))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 u2 u2) (/.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
#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 (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 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 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 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #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)))))))
(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.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)))) (.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)))) (* (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 u2 u2) #s(literal -2 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* -1/3 (pow u2 2))
(.f64 (.f64 u2 u2) #s(literal -1/3 binary64))
(* 2 (* u2 (PI)))
(.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))))
(.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/6 (/ (sqrt 2) (pow u2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 (/.f64 #s(literal 1/6 binary64) u2) u2))) (.f64 u2 u2))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64)))

rewrite490.0ms (5.6%)

Memory

-35.0MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	392
0	108	386
1	353	375
2	1902	359
0	8713	352

Stop Event

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

Counts

25 → 701

Calls

Call 1

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

eval189.0ms (2.2%)

Memory: 18.1MiB live, 232.1MiB allocated
Compiler: Compiled 44 765 to 3 912 computations (91.3% saved)

prune30.0ms (0.3%)

Memory

-9.8MiB live, 82.1MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	946	3	949
Fresh	3	4	7
Picked	1	4	5
Done	0	2	2
Total	950	13	963

Accuracy

100.0%

Counts

963 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* u2 (* (PI) 2))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	99.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	99.0%	#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)))
	98.8%	#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))))
	98.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)) (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 #s(approx (- (pow ( (sqrt (* (log u1) -2)) 1/6) 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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
	99.4%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) u2))) #s(literal 1/2 binary64)))
✓	99.7%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 u2 u2) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
✓	99.2%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
	52.1%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) #s(approx (* (sqrt 2) (+ (* (* (* u2 u2) -1/3) (* (PI) (PI))) 1/6)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 (/.f64 #s(literal 1/6 binary64) u2) u2))) (.f64 u2 u2)))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 650 to 642 computations (61.1% saved)

regimes171.0ms (2%)

Memory

-26.4MiB live, 133.0MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

47.0ms	(.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)))
27.0ms	u1
24.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
13.0ms	(+.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))
10.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

Results

Accuracy	Segments	Branch
99.7%	1	`u1`
99.7%	1	`u2`
99.7%	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))`
99.7%	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)))`
99.7%	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)))`
99.7%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.7%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.7%	1	`(log.f64 u1)`
99.7%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes58.0ms (0.7%)

Memory

38.0MiB live, 110.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

8.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
7.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
5.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
99.7%	1	`u1`
99.7%	1	`u2`
99.7%	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))`
99.7%	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)))`
99.7%	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)))`
99.7%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.7%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.7%	1	`(log.f64 u1)`
99.7%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes30.0ms (0.3%)

Memory

-17.6MiB live, 64.6MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

8.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
3.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
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

4.0MiB live, 41.9MiB allocated

Accuracy

Total -63.3b remaining (-9491.9%)

Threshold costs -63.3b (-9491.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

3.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Results

Accuracy	Segments	Branch
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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))`
99.0%	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)))`
99.0%	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)))`
99.0%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.0%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.0%	1	`(log.f64 u1)`
99.0%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.0%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 71 to 78 computations (-9.9% saved)

simplify83.0ms (0.9%)

Memory

-6.5MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	155
1	92	155
2	116	155
3	124	155
4	128	155
5	131	155
6	146	155
7	236	155
8	3639	155
9	7219	155

Stop Event

1×	node limit

Calls

Call 1

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

soundness923.0ms (10.6%)

Memory

-5.8MiB live, 554.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1073
1	435	1037
2	1619	1003
3	3932	971
0	8076	915
0	83	448
1	204	428
2	622	400
3	2208	372
4	2810	366
5	3921	366
6	5351	366
7	5482	366
8	5544	366
9	5561	366
10	5567	366
11	5567	366
12	7995	366
13	7995	366
14	7995	366
0	8015	347
0	18	52
0	30	48
1	81	48
2	372	48
0	2881	47
0	58	285
0	101	251
1	288	247
0	1022	244
0	252	1668
1	736	1562
2	2677	1492
3	5414	1492
0	8597	1404

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 385 to 202 computations (47.5% saved)

preprocess34.0ms (0.4%)

Memory: 21.5MiB live, 59.9MiB allocated
Remove: (abs u2)
Compiler: Compiled 444 to 236 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	436	82
5	499	82
6	581	82
7	622	82
8	678	82
9	700	82
10	700	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	58	445
0	101	409
1	160	409
2	198	409
3	234	409
4	237	409
5	255	409
6	263	409
7	264	409
0	264	408

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	436	82
5	499	82
6	581	82
7	622	82
8	678	82
9	700	82
10	700	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	58	445
0	101	409
1	160	409
2	198	409
3	234	409
4	237	409
5	255	409
6	263	409
7	264	409
0	264	408

start0.0ms (0%)

analyze39.0ms (0.5%)

sample1.9s (22.3%)

explain189.0ms (2.2%)

preprocess36.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize43.0ms (0.5%)

series117.0ms (1.3%)

simplify572.0ms (6.6%)

rewrite169.0ms (1.9%)

eval36.0ms (0.4%)

prune16.0ms (0.2%)

simplify11.0ms (0.1%)

localize157.0ms (1.8%)

series242.0ms (2.8%)

simplify320.0ms (3.7%)

rewrite194.0ms (2.2%)

eval33.0ms (0.4%)

prune15.0ms (0.2%)

simplify452.0ms (5.2%)

localize211.0ms (2.4%)

series466.0ms (5.4%)

simplify221.0ms (2.5%)

rewrite261.0ms (3%)

eval174.0ms (2%)

prune34.0ms (0.4%)

simplify32.0ms (0.4%)

localize342.0ms (3.9%)

series147.0ms (1.7%)

simplify204.0ms (2.3%)

rewrite490.0ms (5.6%)

eval189.0ms (2.2%)

prune30.0ms (0.3%)

regimes171.0ms (2%)

regimes58.0ms (0.7%)

regimes30.0ms (0.3%)

regimes17.0ms (0.2%)

simplify83.0ms (0.9%)

soundness923.0ms (10.6%)

preprocess34.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	436	82
5	499	82
6	581	82
7	622	82
8	678	82
9	700	82
10	700	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	58	445
0	101	409
1	160	409
2	198	409
3	234	409
4	237	409
5	255	409
6	263	409
7	264	409
0	264	408