Metrics for normal distribution

analyze41.0ms (0.4%)

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 36 to 26 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 6.0ms (23% of total)

ival-pow: 6.0ms (23% of total)

ival-log: 4.0ms (15.3% of total)

ival-<=: 3.0ms (11.5% of total)

ival-div: 2.0ms (7.7% of total)

ival-cos: 2.0ms (7.7% of total)

ival-pi: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

ival-and: 1.0ms (3.8% of total)

const: 1.0ms (3.8% of total)

backward-pass: 0.0ms (0% of total)

sample1.9s (19.3%)

Results

1.5s

8256×

valid

Precisions

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

ival-mult: 281.0ms (25.5% of total)

ival-pow: 196.0ms (17.8% of total)

ival-<=: 177.0ms (16.1% of total)

ival-log: 116.0ms (10.5% of total)

ival-div: 88.0ms (8% of total)

ival-cos: 69.0ms (6.3% of total)

ival-pi: 60.0ms (5.5% of total)

ival-add: 45.0ms (4.1% of total)

ival-and: 35.0ms (3.2% of total)

const: 28.0ms (2.5% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess46.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

950×	`fma-define`
604×	`sum3-define`
400×	`fmsub-define`
332×	`fnmadd-define`
164×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	95
1	98	92
2	215	92
3	458	92
4	620	92
5	795	92
6	999	92
7	1250	92
8	1358	92
9	1780	92
10	1974	92
0	19	15
1	33	15
2	49	15
3	57	15
0	57	15

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

Outputs

(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

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

Call 2

Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)

Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(fnmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(fnmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(fma 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI))))) 1/2)

Symmetry

(abs u2)

explain291.0ms (3%)

FPErrors

Click to see full error table

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

Results

119.0ms

512×

valid

Compiler

Compiled 193 to 56 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 16.0ms (29.2% of total)

ival-pow: 15.0ms (27.4% of total)

ival-log: 7.0ms (12.8% of total)

ival-div: 5.0ms (9.1% of total)

ival-cos: 5.0ms (9.1% of total)

ival-add: 3.0ms (5.5% of total)

ival-pi: 2.0ms (3.7% of total)

const: 2.0ms (3.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
22×	`*-commutative`
12×	`fma-lowering-fma.f32`
12×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	26	68
2	43	68
3	51	68
0	51	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2

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

localize74.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.6%	(*.f64 (PI.f64) u2)
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))

Results

54.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.4% of total)

ival-log: 4.0ms (17.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (17.2% of total)

ival-cos: 2.0ms (8.6% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-pi: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

const: 1.0ms (4.3% of total)

backward-pass: 0.0ms (0% of total)

series78.0ms (0.8%)

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* (PI) u2)>

Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 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))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>

Calls

21 calls:

Time	Variable		Point	Expression
28.0ms	u1	@	0	(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
24.0ms	u1	@	-inf	(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
13.0ms	u2	@	inf	(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
7.0ms	u1	@	inf	(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
1.0ms	u2	@	0	(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))

rewrite591.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3154×	`-lowering-.f32`
3154×	`-lowering-.f64`
1720×	`+-lowering-+.f64`
1720×	`+-lowering-+.f32`
1288×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	54	44
2	216	44
3	1363	44
0	8492	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 155

Calls

Call 1

Inputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* (PI) u2)

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))) #s(literal -2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (+.f64 (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))))
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(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (+.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (+.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(+.f64 (*.f64 u2 (+.f64 (PI.f64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) u2))
(+.f64 (*.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) u2) (-.f64 #s(literal 0 binary64) u2))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(.f64 (.f64 (PI.f64) u2) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) u2))
(.f64 (cbrt.f64 (PI.f64)) (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 u2 (cbrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 u2 (cbrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 u2 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 u2 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(.f64 (.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify337.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5942×	`+-lowering-+.f64`
5942×	`+-lowering-+.f32`
5070×	`-lowering-.f32`
5070×	`-lowering-.f64`
2876×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	81	1268
1	210	1201
2	717	1179
3	2715	1155
4	3502	1149
5	5400	1147
6	6834	1147
7	6991	1147
8	7086	1147
9	7156	1147
10	7196	1147
11	7212	1147
0	8353	1147

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 6411 to 599 computations (90.7% saved)

prune22.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	235	4	239
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	235	5	240

Accuracy

99.7%

Counts

240 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64)))
▶	98.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶	98.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))
▶	0.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))))

Compiler

Compiled 90 to 79 computations (12.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓	cost-diff	12864	(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))
✓	cost-diff	6528	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	0	(sqrt.f64 #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))))

Rules

80×	`-lowering-.f32`
80×	`-lowering-.f64`
46×	`*-commutative`
36×	`fma-define`
24×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	299
1	62	273
2	103	262
3	118	262
0	118	262

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (log u1)))))
1/2
(* 1/6 (* (sqrt -2) (sqrt (log u1))))
1/6
(* (sqrt -2) (sqrt (log u1)))
(sqrt -2)
-2
(sqrt (log u1))
(log u1)
u1
(+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
1/6
(exp (* 1/2 (log (* -2 (log u1)))))
(* 1/2 (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))
1/6
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6))
1/2
(* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6)
(* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* (PI) (* 2 u2)))
(* (PI) (* 2 u2))
(PI)
(* 2 u2)
2
u2
1/6

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

localize226.0ms (2.3%)

Localize:

Found 16 expressions of interest:

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

Results

164.0ms

256×

invalid

Compiler

Compiled 293 to 36 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 20.0ms (32.6% of total)

ival-sqrt: 8.0ms (13% of total)

ival-log: 7.0ms (11.4% of total)

ival-add: 5.0ms (8.1% of total)

ival-exp: 5.0ms (8.1% of total)

ival-pow: 5.0ms (8.1% of total)

ival-cos: 4.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)

ival-pi: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series143.0ms (1.5%)

Counts

22 → 312

Calls

Call 1

Inputs
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (log u1)))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (log u1))))>
#<alt (* (sqrt -2) (sqrt (log u1)))>
#<alt (sqrt -2)>
#<alt (exp (* 1/2 (log (* -2 (log u1)))))>
#<alt (+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))>
#<alt (pow (exp 1/2) (log (* -2 (log u1))))>
#<alt (+ 1/2 (* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))>
#<alt (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6))>
#<alt (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (log u1)>
#<alt (sqrt (log u1))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (exp 1/2)>
#<alt (cos (* (PI) (* 2 u2)))>

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

Calls

78 calls:

Time	Variable		Point	Expression
51.0ms	u1	@	0	(pow (exp 1/2) (log (* -2 (log u1))))
27.0ms	u1	@	-inf	(pow (exp 1/2) (log (* -2 (log u1))))
23.0ms	u1	@	inf	(pow (exp 1/2) (log (* -2 (log u1))))
20.0ms	u2	@	inf	(+ 1/2 (* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))))
9.0ms	u1	@	0	(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (log u1)))))

rewrite412.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3244×	`-lowering-.f32`
3244×	`-lowering-.f64`
1828×	`+-lowering-+.f64`
1828×	`+-lowering-+.f32`
1294×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	192
1	96	170
2	313	170
3	1575	170
0	8544	170

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 782

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (log u1)))))
(* 1/6 (* (sqrt -2) (sqrt (log u1))))
(* (sqrt -2) (sqrt (log u1)))
(sqrt -2)
(exp (* 1/2 (log (* -2 (log u1)))))
(+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
(pow (exp 1/2) (log (* -2 (log u1))))
(+ 1/2 (* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6))
(* (* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2)))) 1/6)
(* (sqrt (* -2 (log u1))) (cos (* (PI) (* 2 u2))))
(sqrt (* -2 (log u1)))
(log u1)
(sqrt (log u1))
(PI)
(cos (* 2 (* (PI) u2)))
(exp 1/2)
(cos (* (PI) (* 2 u2)))

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

simplify318.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

5072×	`-lowering-.f32`
5072×	`-lowering-.f64`
3030×	`sum3-define`
2664×	`sum4-define`
2644×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	4670
1	355	4395
2	1307	4315
3	2721	4261
4	3916	4261
5	5385	4261
6	6220	4261
7	6302	4261
8	6383	4261
9	6452	4261
10	6514	4261
11	7251	4261
12	7605	4261
13	7605	4261
0	9888	4261

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval181.0ms (1.8%)

Compiler: Compiled 39691 to 2800 computations (92.9% saved)

prune161.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1381	6	1387
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	1384	8	1392

Accuracy

99.9%

Counts

1392 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
▶	98.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64)))
▶	99.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶	96.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
▶	96.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))

Compiler

Compiled 244 to 208 computations (14.8% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	cost-diff	12864	(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓	cost-diff	6528	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 u2 u2))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
✓	cost-diff	128	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓	cost-diff	0	(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))

Rules

2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
1836×	`associate-r`
1326×	`fma-define`
1082×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	86	278
2	190	272
3	498	270
4	1504	268
5	2210	268
6	2294	268
7	2303	268
8	2310	268
9	2311	268
10	2311	268
11	2993	268
12	2993	268
13	2993	268
0	2993	268

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6))
1/2
(* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6)
(* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2))))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))
1
(* -2 (* (PI) (* (PI) (* u2 u2))))
(* (PI) (* (PI) (* u2 u2)))
(PI)
(* (PI) (* u2 u2))
(* u2 u2)
u2
1/6
(+ 1/2 (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))))
1/2
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
1/6
(exp (* 1/2 (log (* -2 (log u1)))))
(* 1/2 (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(+ 1/2 (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))))
1/2
(* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))
1/6
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1

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

localize258.0ms (2.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	accuracy	99.9%	(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	accuracy	98.5%	(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓	accuracy	99.9%	(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	accuracy	98.9%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.7%	(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))
✓	accuracy	99.7%	(.f64 (PI.f64) (.f64 u2 u2))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(log.f64 u1)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓	accuracy	99.8%	(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓	accuracy	99.6%	(*.f64 (PI.f64) u2)
✓	accuracy	99.6%	(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))

Results

174.0ms

256×

valid

Compiler

Compiled 328 to 42 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 24.0ms (34.8% of total)

ival-log: 11.0ms (16% of total)

ival-add: 8.0ms (11.6% of total)

ival-exp: 5.0ms (7.3% of total)

ival-sqrt: 5.0ms (7.3% of total)

ival-pow: 5.0ms (7.3% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.8% of total)

ival-div: 3.0ms (4.4% of total)

ival-cos: 2.0ms (2.9% of total)

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

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series45.0ms (0.5%)

Counts

24 → 336

Calls

Call 1

Inputs
#<alt (+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2))))>
#<alt (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6)>
#<alt (+ 1/2 (* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6))>
#<alt (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2))))))>
#<alt (exp (* 1/2 (log (* -2 (log u1)))))>
#<alt (+ 1/2 (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))))>
#<alt (* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (pow (exp 1/2) (log (* -2 (log u1))))>
#<alt (+ 1/2 (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))))>
#<alt (* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))>
#<alt (exp 1/2)>
#<alt (* (PI) u2)>
#<alt (log u1)>
#<alt (* (PI) (* u2 u2))>
#<alt (* (PI) (* (PI) (* u2 u2)))>
#<alt (log (* -2 (log u1)))>

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

Calls

84 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))
10.0ms	u1	@	-inf	(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))
2.0ms	u1	@	0	(* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6)
1.0ms	u2	@	0	(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1.0ms	u1	@	0	(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))

rewrite235.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3814×	`-lowering-.f32`
3814×	`-lowering-.f64`
1122×	`+-lowering-+.f64`
1122×	`+-lowering-+.f32`
1080×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	194
1	131	185
2	460	178
3	2558	178
0	8428	178

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 465

Calls

Call 1

Inputs
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(* (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))
(sqrt (log (/ 1 u1)))
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6)
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2)))))) 1/6))
(* (sqrt (* -2 (log u1))) (+ 1 (* -2 (* (PI) (* (PI) (* u2 u2))))))
(exp (* 1/2 (log (* -2 (log u1)))))
(+ 1/2 (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
(* 1/2 (log (* -2 (log u1))))
(pow (exp 1/2) (log (* -2 (log u1))))
(+ 1/2 (* 1/6 (pow (exp 1/2) (log (* -2 (log u1))))))
(* 1/6 (pow (exp 1/2) (log (* -2 (log u1)))))
(exp 1/2)
(* (PI) u2)
(log u1)
(* (PI) (* u2 u2))
(* (PI) (* (PI) (* u2 u2)))
(log (* -2 (log u1)))

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (+.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -1/2 binary64)))))))
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(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 u2)) (.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (.f64 #s(literal 2 binary64) (log.f64 u2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) u2)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 u2)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 u2)) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 u2))) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 u2)) (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(pow.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 u2 u2))))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) u2)))
(.f64 (.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(.f64 (.f64 u2 u2) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (*.f64 u2 u2)) (PI.f64))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 u2 u2))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 5/3 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (.f64 u2 u2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (*.f64 u2 u2)))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 u2 u2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(.f64 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(.f64 (.f64 u2 (*.f64 u2 (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) u2)))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) u2)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) u2)) u2)
(.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) u2))
(.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (.f64 u2 (*.f64 u2 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (*.f64 u2 u2)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (.f64 (PI.f64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 u2 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (PI.f64) u2) (sqrt.f64 (PI.f64))) (.f64 u2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))

simplify310.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4244×	`-lowering-.f32`
4244×	`-lowering-.f64`
4148×	`+-lowering-+.f64`
4148×	`+-lowering-+.f32`
1940×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	4456
1	408	4069
2	1429	3989
3	3171	3916
4	4741	3916
0	8866	3916

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval109.0ms (1.1%)

Compiler: Compiled 20098 to 1950 computations (90.3% saved)

prune79.0ms (0.8%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	971	6	977
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	973	12	985

Accuracy

99.9%

Counts

985 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓	97.2%	(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
▶	98.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
▶	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
✓	98.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64)))
	99.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶	97.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	96.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
▶	97.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))))
✓	96.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))

Compiler

Compiled 330 to 282 computations (14.5% saved)

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓	cost-diff	0	(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓	cost-diff	0	(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓	cost-diff	0	(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))))
✓	cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))))
✓	cost-diff	6272	(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))

Rules

2102×	`-lowering-.f32`
2102×	`-lowering-.f64`
1894×	`associate-r`
1120×	`associate-l`
910×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	320
1	94	314
2	195	314
3	378	304
4	972	302
5	1369	302
6	1397	302
7	1398	302
8	1398	302
9	1398	302
10	2375	302
11	2475	302
12	2475	302
13	2475	302
14	2611	302
0	2611	302

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
(* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI)))))
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
(cos (* u2 (* 2 (PI))))
(* u2 (* 2 (PI)))
u2
(* 2 (PI))
(PI)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
1/2
(+ 1/2 (* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1))))))
1/2
(* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1)))))
(+ 1 (* (PI) (* -2 (* (PI) (* u2 u2)))))
1
(* (PI) (* -2 (* (PI) (* u2 u2))))
(PI)
(* -2 (* (PI) (* u2 u2)))
-2
(* (PI) (* u2 u2))
(* u2 u2)
u2
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(log u1)
u1
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1))))))
1/2
(* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1)))))
1/6
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(sqrt 2)
2
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))))
1/2
(* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
(+ 1/2 (* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI)))))))
1/2
(* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI))))))
(* (sqrt (- 0 (log u1))) 1/6)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
1/6
(* (sqrt 2) (cos (* u2 (* 2 (PI)))))
(sqrt 2)
2
(cos (* u2 (* 2 (PI))))
(* u2 (* 2 (PI)))
u2
(* 2 (PI))
(PI)

Outputs
(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) #s(literal 1/2 binary64))
(* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI)))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))))
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* u2 (* 2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* u2 (* 2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
u2
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
(sqrt (- 0 (log u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(- 0 (log u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/3 binary64))))))))
1/2
#s(literal 1/2 binary64)
(* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1)))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/3 binary64)))))))
(+ 1 (* (PI) (* -2 (* (PI) (* u2 u2)))))
(+.f64 #s(literal 1 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(* (PI) (* -2 (* (PI) (* u2 u2))))
(.f64 u2 (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)))))
(PI)
(PI.f64)
(* -2 (* (PI) (* u2 u2)))
(.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 u2 (PI.f64))))
-2
#s(literal -2 binary64)
(* (PI) (* u2 u2))
(.f64 (PI.f64) (.f64 u2 u2))
(* u2 u2)
(*.f64 u2 u2)
u2
(* 1/6 (sqrt (* -2 (log u1))))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
1/2
#s(literal 1/2 binary64)
(* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
1/6
#s(literal 1/6 binary64)
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
1
#s(literal 1 binary64)
u1
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
1
#s(literal 1 binary64)
u1
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/2 (* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI)))))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI))))))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (- 0 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(sqrt (- 0 (log u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(- 0 (log u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
(* (sqrt 2) (cos (* u2 (* 2 (PI)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* u2 (* 2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* u2 (* 2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
u2
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)

localize320.0ms (3.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓	accuracy	99.6%	(.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓	accuracy	99.3%	(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.8%	(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))))
✓	accuracy	99.8%	(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓	accuracy	99.7%	(.f64 (PI.f64) (.f64 u2 u2))
✓	accuracy	99.7%	(.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))))
✓	accuracy	99.8%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓	accuracy	99.7%	(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))

Results

239.0ms

256×

valid

Compiler

Compiled 350 to 42 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 31.0ms (44.5% of total)

ival-add: 8.0ms (11.5% of total)

ival-sqrt: 8.0ms (11.5% of total)

ival-log: 7.0ms (10% of total)

...c/correct-round.rkt:119:19: 5.0ms (7.2% of total)

compiled-spec: 4.0ms (5.7% of total)

ival-div: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% of total)

ival-cos: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series58.0ms (0.6%)

Counts

23 → 312

Calls

Call 1

Inputs
#<alt (+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)>
#<alt (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI)))))>
#<alt (* 1/6 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1)))))>
#<alt (+ 1/2 (* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1))))))>
#<alt (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2)))))>
#<alt (* (PI) (* -2 (* (PI) (* u2 u2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1)))))>
#<alt (* (sqrt 2) (sqrt (log (/ 1 u1))))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))))>
#<alt (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (log (/ 1 u1))>
#<alt (+ 1/2 (* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI)))))))>
#<alt (* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI))))))>
#<alt (* (sqrt (- 0 (log u1))) 1/6)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (* u2 (* 2 (PI)))>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (* (PI) (* u2 u2))>
#<alt (sqrt (* -2 (log u1)))>

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

Calls

78 calls:

Time	Variable		Point	Expression
42.0ms	u2	@	-inf	(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
1.0ms	u2	@	0	(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
1.0ms	u2	@	inf	(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
1.0ms	u1	@	0	(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
1.0ms	u1	@	inf	(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)

rewrite307.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
1344×	`+-lowering-+.f64`
1344×	`+-lowering-+.f32`
1328×	`unpow-prod-down`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	204
1	130	196
2	432	182
3	1915	178
4	7760	178
0	8122	178

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 464

Calls

Call 1

Inputs
(+ (* (* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI))))) (sqrt (- 0 (log u1)))) 1/2)
(* (* 1/6 (sqrt 2)) (cos (* u2 (* 2 (PI)))))
(* 1/6 (sqrt 2))
(sqrt 2)
(* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1)))))
(+ 1/2 (* (+ 1 (* (PI) (* -2 (* (PI) (* u2 u2))))) (* 1/6 (sqrt (* -2 (log u1))))))
(+ 1 (* (PI) (* -2 (* (PI) (* u2 u2)))))
(* (PI) (* -2 (* (PI) (* u2 u2))))
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (sqrt 2) (sqrt (log (/ 1 u1)))))
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2))))
(* (sqrt (log (/ 1 u1))) (* 1/6 (sqrt 2)))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(+ 1/2 (* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI)))))))
(* (* (sqrt (- 0 (log u1))) 1/6) (* (sqrt 2) (cos (* u2 (* 2 (PI))))))
(* (sqrt (- 0 (log u1))) 1/6)
(sqrt (- 0 (log u1)))
(* u2 (* 2 (PI)))
(* 1/6 (sqrt (* -2 (log u1))))
(* (PI) (* u2 u2))
(sqrt (* -2 (log u1)))

Outputs
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.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) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (PI.f64) (.f64 (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 (PI.f64) (.f64 u2 (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 u2 (.f64 u2 (PI.f64))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 (PI.f64) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64)))) (.f64 (PI.f64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64)))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (.f64 u2 (.f64 u2 #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (.f64 u2 (.f64 u2 #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (.f64 u2 (.f64 u2 (PI.f64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (.f64 u2 u2) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (.f64 u2 (.f64 u2 #s(literal -2 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (cbrt.f64 (PI.f64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (.f64 u2 (.f64 u2 #s(literal -2 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)))) (.f64 u2 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 u2 (.f64 u2 (PI.f64)))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))))
(fma.f64 (.f64 (.f64 (PI.f64) (.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.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) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) u2) (+.f64 (PI.f64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) u2) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) u2)) (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) u2)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 u2 (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 u2 (cbrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (*.f64 u2 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 #s(literal 2 binary64) u2) (PI.f64))
(.f64 (.f64 u2 (PI.f64)) #s(literal 2 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (.f64 u2 (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (sqrt.f64 (PI.f64))))))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 u2 (cbrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (.f64 u2 (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (.f64 u2 (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (cbrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 u2 u2) (+.f64 (PI.f64) #s(literal 1 binary64))) (.f64 (.f64 u2 u2) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) (.f64 u2 u2)) (.f64 #s(literal -1 binary64) (.f64 u2 u2)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 u2))))
(exp.f64 (.f64 (log.f64 (.f64 u2 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 u2 (cbrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 u2 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(.f64 u2 (.f64 u2 (PI.f64)))
(.f64 (PI.f64) (.f64 u2 u2))
(.f64 #s(literal 1 binary64) (.f64 u2 (*.f64 u2 (PI.f64))))
(.f64 (.f64 u2 u2) (PI.f64))
(.f64 (.f64 u2 (*.f64 u2 (PI.f64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 u2 (*.f64 u2 (cbrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 u2 (*.f64 u2 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 u2 (PI.f64)) u2)
(.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))))
(.f64 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 u2 (*.f64 u2 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 u2 (cbrt.f64 (PI.f64))) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 u2 (*.f64 u2 (cbrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 u2 (.f64 u2 (sqrt.f64 (PI.f64))))) (cbrt.f64 (PI.f64)))
(exp.f64 (.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)))
(pow.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))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 u1))))

simplify295.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4342×	`-lowering-.f32`
4342×	`-lowering-.f64`
3488×	`+-lowering-+.f64`
3488×	`+-lowering-+.f32`
1782×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	163	4692
1	486	4272
2	1789	4144
3	3342	4047
4	5465	4035
0	8160	4035

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

Outputs
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(+ 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))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))))
(+ 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))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/9 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 4 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))))))))))
(+.f64 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 u2 u2)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal -2/135 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)))))
(+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/9 binary64) (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 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))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (.f64 (.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (.f64 (.f64 u2 u2) (.f64 u2 u2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (.f64 (PI.f64) (PI.f64))))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (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)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64))))))))
(+ (* -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)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64))))))))
(+ (* -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)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64))))))))
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (PI.f64)) (PI.f64)) u2) u2)))
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(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 2 (* u2 (PI)))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (pow u2 2) (PI))
(.f64 u2 (.f64 u2 (PI.f64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval213.0ms (2.2%)

Compiler: Compiled 18363 to 1640 computations (91.1% saved)

prune118.0ms (1.2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	894	6	900
Fresh	1	0	1
Picked	3	2	5
Done	0	6	6
Total	898	14	912

Accuracy

100.0%

Counts

912 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓	97.2%	(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓	98.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
✓	98.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/6 binary64)))
	97.3%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
	97.4%	(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	96.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))))
	96.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	96.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))
	97.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
✓	96.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))

Compiler

Compiled 603 to 315 computations (47.8% saved)

regimes96.0ms (1%)

Counts

24 → 1

Calls

Call 1

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

Outputs

(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))

Calls

10 calls:

18.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
17.0ms	(log.f64 u1)
8.0ms	(+.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))
8.0ms	u1
7.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

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 91 to 78 computations (14.3% saved)

regimes69.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

8.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
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))
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
7.0ms	u1
6.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))

Results

Accuracy	Segments	Branch
99.7%	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 91 to 78 computations (14.3% saved)

regimes61.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

7.0ms	(log.f64 u1)
6.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
6.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
6.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes77.0ms (0.8%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

10 calls:

22.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
8.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
7.0ms	u2
7.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
6.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Results

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

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))

Outputs

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

Calls

4 calls:

5.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
3.0ms	u2
3.0ms	(log.f64 u1)
3.0ms	u1

Results

Accuracy	Segments	Branch
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.4%	1	`(log.f64 u1)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes24.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

19.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms	(log.f64 u1)
2.0ms	u1
2.0ms	u2

Results

Accuracy	Segments	Branch
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.4%	1	`(log.f64 u1)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))

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

Calls

4 calls:

1.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
1.0ms	(log.f64 u1)
1.0ms	u1
1.0ms	u2

Results

Accuracy	Segments	Branch
97.2%	1	`u1`
97.2%	1	`u2`
97.2%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
97.2%	1	`(log.f64 u1)`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`sub0-neg_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	122
1	86	122
2	89	122
3	90	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))

Outputs
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 u2 u2))))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (*.f64 u2 u2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 u2 u2))))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))))

soundness1.9s (19.2%)

Rules

5942×	`+-lowering-+.f64`
5942×	`+-lowering-+.f32`
5072×	`-lowering-.f32`
5072×	`-lowering-.f64`
5070×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	194
1	131	185
2	460	178
3	2558	178
0	8428	178
0	16	45
1	54	44
2	216	44
3	1363	44
0	8492	44
0	81	1268
1	210	1201
2	717	1179
3	2715	1155
4	3502	1149
5	5400	1147
6	6834	1147
7	6991	1147
8	7086	1147
9	7156	1147
10	7196	1147
11	7212	1147
0	8353	1147
0	35	192
1	96	170
2	313	170
3	1575	170
0	8544	170
0	125	4670
1	355	4395
2	1307	4315
3	2721	4261
4	3916	4261
5	5385	4261
6	6220	4261
7	6302	4261
8	6383	4261
9	6452	4261
10	6514	4261
11	7251	4261
12	7605	4261
13	7605	4261
0	9888	4261
0	19	15
1	33	15
2	49	15
3	57	15
0	57	15

Stop Event

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

Compiler

Compiled 454 to 336 computations (26% saved)

preprocess90.0ms (0.9%)

Remove: (abs u2)
Compiler: Compiled 572 to 376 computations (34.3% saved)

analyze41.0ms (0.4%)

sample1.9s (19.3%)

preprocess46.0ms (0.5%)

explain291.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize74.0ms (0.8%)

series78.0ms (0.8%)

rewrite591.0ms (6.1%)

simplify337.0ms (3.5%)

eval24.0ms (0.2%)

prune22.0ms (0.2%)

simplify10.0ms (0.1%)

localize226.0ms (2.3%)

series143.0ms (1.5%)

rewrite412.0ms (4.2%)

simplify318.0ms (3.3%)

eval181.0ms (1.8%)

prune161.0ms (1.6%)

simplify96.0ms (1%)

localize258.0ms (2.6%)

series45.0ms (0.5%)

rewrite235.0ms (2.4%)

simplify310.0ms (3.2%)

eval109.0ms (1.1%)

prune79.0ms (0.8%)

simplify111.0ms (1.1%)

localize320.0ms (3.3%)

series58.0ms (0.6%)

rewrite307.0ms (3.1%)

simplify295.0ms (3%)

eval213.0ms (2.2%)

prune118.0ms (1.2%)

regimes96.0ms (1%)

regimes69.0ms (0.7%)

regimes61.0ms (0.6%)

regimes77.0ms (0.8%)

regimes16.0ms (0.2%)

regimes24.0ms (0.2%)

regimes5.0ms (0.1%)

simplify48.0ms (0.5%)

soundness1.9s (19.2%)

preprocess90.0ms (0.9%)

end0.0ms (0%)

Profiling