Metrics for Beckmann Sample, near normal, slope

analyze476.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 27 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

...c/correct-round.rkt:119:19: 87.0ms (27% of total)

ival-mult: 57.0ms (17.7% of total)

ival-<=: 42.0ms (13% of total)

ival-log: 32.0ms (9.9% of total)

ival-cos: 31.0ms (9.6% of total)

ival-sub: 15.0ms (4.7% of total)

ival-sqrt: 14.0ms (4.3% of total)

ival-pi: 11.0ms (3.4% of total)

ival-neg: 11.0ms (3.4% of total)

ival->: 10.0ms (3.1% of total)

ival-and: 9.0ms (2.8% of total)

const: 2.0ms (0.6% of total)

backward-pass: 1.0ms (0.3% of total)

sample2.8s (20.3%)

Results

2.3s	8256×	0	valid
1.0ms	6×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 487.0ms (28.1% of total)

...c/correct-round.rkt:119:19: 346.0ms (20% of total)

ival-<=: 194.0ms (11.2% of total)

ival-log: 166.0ms (9.6% of total)

ival-cos: 149.0ms (8.6% of total)

ival-sqrt: 86.0ms (5% of total)

ival-pi: 68.0ms (3.9% of total)

ival-sub: 65.0ms (3.8% of total)

ival->: 65.0ms (3.8% of total)

ival-neg: 51.0ms (2.9% of total)

ival-and: 42.0ms (2.4% of total)

const: 9.0ms (0.5% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess77.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1672×	`fma-define`
1668×	`fnmadd-define`
1174×	`sum3-define`
716×	`fmsub-define`
668×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	99	121
2	191	121
3	344	121
4	617	121
5	1232	121
6	1708	121
7	2334	121
8	3912	121
9	4671	121
10	4762	121
11	4776	121
12	4788	121
0	13	13
1	25	12
2	38	12
3	48	12
4	62	12
5	79	12
6	101	12
7	115	12
8	127	12
9	128	12
0	128	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Call 2

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0)
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI)))))

Symmetry

(abs cosTheta_i)

(abs u2)

explain148.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
201	8	(0.9999271631240845 0.007902981713414192 8.304275979753584e-5)	2	(0.9999080300331116 0.014840633608400822 0.11970078945159912)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999955296516418 0.04634430631995201 0.2473963499069214)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`

Results

90.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 12.0ms (29.6% of total)

ival-log: 9.0ms (22.2% of total)

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

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

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

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

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

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Status

Accuracy

Program

▶

98.9%

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

▶

58.1%

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	32	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

40×	`sum3-define`
40×	`-lowering-.f32`
40×	`-lowering-.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	41	90
2	55	90
3	65	90
4	84	90
5	104	90
6	121	90
7	136	90
8	137	90
0	137	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize169.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	56.4%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

110.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

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

ival-neg: 29.0ms (42.3% of total)

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

ival-log: 9.0ms (13.1% of total)

ival-cos: 6.0ms (8.8% of total)

compiled-spec: 6.0ms (8.8% of total)

ival-sqrt: 4.0ms (5.8% of total)

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

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

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

const: 1.0ms (1.5% of total)

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

series47.0ms (0.3%)

Counts

12 → 168

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 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))))>
#<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 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

42 calls:

Time	Variable		Point	Expression
30.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	(sqrt (neg (log (- 1 u1))))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite272.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2534×	`fma-lowering-fma.f32`
2534×	`fma-lowering-fma.f64`
1736×	`-lowering-.f32`
1736×	`-lowering-.f64`
1582×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	94	68
2	531	60
3	4574	60
0	8351	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 367

Calls

Call 1

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

Outputs
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))))
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(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))
(/.f32 (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify293.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5686×	`-lowering-.f32`
5686×	`-lowering-.f64`
3272×	`+-lowering-+.f64`
3272×	`+-lowering-+.f32`
2402×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3514
1	982	2936
2	3477	2700
0	8030	2700

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) 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
(+ 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))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1
(+ 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
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
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(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (.f32 u2 u2) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (.f32 u2 u2) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

eval41.0ms (0.3%)

Compiler: Compiled 14387 to 1280 computations (91.1% saved)

prune96.0ms (0.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	514	21	535
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	514	23	537

Accuracy

99.6%

Counts

537 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	80.5%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
▶	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	76.0%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 991 to 739 computations (25.4% saved)

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	9824	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓	cost-diff	9824	(.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
✓	cost-diff	9824	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
✓	cost-diff	9824	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓	cost-diff	0	(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
✓	cost-diff	128	(*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
✓	cost-diff	128	(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
✓	cost-diff	128	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	32	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	64	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	3168	(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓	cost-diff	3168	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))

Rules

2784×	`sum5-define`
2230×	`fma-define`
1850×	`fma-lowering-fma.f32`
1850×	`fma-lowering-fma.f64`
1578×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	317
1	128	304
2	327	297
3	917	297
4	1527	297
5	2052	297
6	3018	297
7	5807	297
0	8017	295

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(neg (sin (* (PI) u2)))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
1/2
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2))))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(* (PI) (PI))
(PI)
(* -2 (* u2 u2))
-2
(* u2 u2)
u2
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(- 0 (log (+ 1 u1)))
0
(log (+ 1 u1))
u1
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
2
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(pow (PI) 1/3)
(PI)
1/3
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
u2

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(neg (sin (* (PI) u2)))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
1/2
#s(literal 1/2 binary32)
(* (cos (* 2 (* (PI) u2))) 1/2)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* 2 (* (PI) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) u2) (.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32)))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32))))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) #s(literal -2 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* -2 (* u2 u2))
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
-2
#s(literal -2 binary32)
(* u2 u2)
(*.f32 u2 u2)
u2
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (pow.f32 (.f32 (log1p.f32 u1) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(pow.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1)) #s(literal 1/4 binary32))
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(*.f32 (log1p.f32 u1) (log1p.f32 u1))
(- 0 (log (+ 1 u1)))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
0
#s(literal 0 binary32)
(log (+ 1 u1))
(log1p.f32 u1)
u1
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(*.f32 (PI.f32) u2)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(PI)
(PI.f32)
1/3
#s(literal 1/3 binary32)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(* u2 (pow (PI) 1/3))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
u2

localize278.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓	accuracy	99.3%	(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	accuracy	99.1%	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
✓	accuracy	99.0%	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.6%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	accuracy	98.7%	(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	56.4%	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	100.0%	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	accuracy	100.0%	(neg.f32 u1)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
✓	accuracy	99.4%	(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
✓	accuracy	99.2%	(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)

Results

180.0ms

256×

valid

Compiler

Compiled 371 to 51 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 36.0ms (27.3% of total)

ival-pow: 18.0ms (13.7% of total)

compiled-spec: 17.0ms (12.9% of total)

ival-log: 13.0ms (9.9% of total)

ival-neg: 13.0ms (9.9% of total)

ival-cos: 9.0ms (6.8% of total)

ival-add: 7.0ms (5.3% of total)

ival-sqrt: 5.0ms (3.8% of total)

ival-sin: 4.0ms (3% of total)

...c/correct-round.rkt:119:19: 4.0ms (3% of total)

ival-sub: 3.0ms (2.3% of total)

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

const: 1.0ms (0.8% of total)

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

series138.0ms (1%)

Counts

27 → 360

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))>
#<alt (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (log (- 1 u1))>
#<alt (* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)>
#<alt (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))>
#<alt (- 0 (log (+ 1 u1)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))>
#<alt (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))>
#<alt (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))>
#<alt (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))>
#<alt (* (PI) u2)>
#<alt (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))>
#<alt (neg u1)>
#<alt (* (PI) (PI))>
#<alt (* (* (PI) (PI)) (* -2 (* u2 u2)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))>
#<alt (* u2 (pow (PI) 1/3))>

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))>
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
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#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* -1 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))>
#<alt (pow (log (/ 1 u1)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* 1/2 u1) 1))>
#<alt (* u1 (- (* u1 (+ 1/2 (* -1/3 u1))) 1))>
#<alt (* u1 (- (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 1/3)))) 1))>
#<alt (log (/ 1 u1))>
#<alt (* -1 (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (/ 1/2 (pow u1 2)) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (/ 1/2 (pow u1 2)) (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))))>
#<alt (- (* -1 (/ (- 1 (* 1/2 (/ 1 u1))) u1)) (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (- (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 u1))) u1))) u1)) (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* 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 (* 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 (* u2 (PI))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 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))))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>

Calls

90 calls:

Time	Variable		Point	Expression
46.0ms	u1	@	0	(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
34.0ms	u2	@	inf	(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
12.0ms	u2	@	0	(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
8.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
4.0ms	u1	@	inf	(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))

rewrite388.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2188×	`+-lowering-+.f64`
2188×	`+-lowering-+.f32`
2056×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	277
1	248	158
2	1865	133
0	9319	132

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 978

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(log (+ 1 (neg u1)))
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(- 0 (log (+ 1 u1)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(* (PI) u2)
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
(neg u1)
(* (PI) (PI))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))

Outputs
(+.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(+.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))))
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(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))

simplify369.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

8372×	`-lowering-.f32`
8372×	`-lowering-.f64`
4340×	`+-lowering-+.f64`
4340×	`+-lowering-+.f32`
1410×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	737	7749
1	2555	6632
0	8432	6632

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))

Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (neg.f32 u1)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (.f32 u1 u1)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (.f32 u1 u1)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (.f32 u1 (.f32 u1 u1))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(-.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
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(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 u2 (.f32 u2 (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)))))) (*.f32 (PI.f32) (PI.f32)))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))

eval189.0ms (1.4%)

Compiler: Compiled 58951 to 3633 computations (93.8% saved)

prune296.0ms (2.2%)

Pruning

59 alts after pruning (55 fresh and 4 done)

	Pruned	Kept	Total
New	1736	44	1780
Fresh	5	11	16
Picked	3	2	5
Done	0	2	2
Total	1744	59	1803

Accuracy

99.8%

Counts

1803 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(/.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))))) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
	73.9%	(+.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))))
	4.8%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.0%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.6%	(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
	71.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	84.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	77.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	83.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	76.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	79.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	73.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
▶	77.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	86.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
	33.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))))
▶	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	36.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (+.f32 #s(literal 1/4 binary32) (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))))) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1/4 binary32) (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))) #s(literal 2 binary32))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))) (.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.5%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	76.0%	(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	68.7%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	4.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
	76.0%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.4%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	66.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	72.8%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	62.8%	(sqrt.f32 (log1p.f32 u1))

Compiler

Compiled 3422 to 2060 computations (39.8% saved)

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	64	(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
✓	cost-diff	64	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
✓	cost-diff	0	(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
✓	cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	0	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))

Rules

2928×	`sum4-define`
2154×	`sum3-define`
1492×	`-lowering-.f32`
1492×	`-lowering-.f64`
1242×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	361
1	133	358
2	285	349
3	675	349
4	1413	349
5	2066	349
6	3146	349
7	4755	349
8	7570	349
0	8066	349

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2)))
1/2
(- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))
(* 1/2 (cos (* u2 (* (PI) 2))))
(cos (* u2 (* (PI) 2)))
(* u2 (* (PI) 2))
u2
(* (PI) 2)
(PI)
2
(pow (sin (* u2 (PI))) 2)
(sin (* u2 (PI)))
(* u2 (PI))
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* (pow (* u1 u1) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* u1 u1) 1/4)
(* u1 u1)
u1
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(+ 1 u1)
1
(+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2))))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(* (PI) (PI))
(PI)
(* -2 (* u2 u2))
-2
(* u2 u2)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1)
(- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4))
(pow (cos (* (PI) u2)) 4)
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
4
(pow (sin (* (PI) u2)) 4)
(sin (* (PI) u2))
1

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2)))
(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))
1/2
#s(literal 1/2 binary32)
(- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))
(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* 1/2 (cos (* u2 (* (PI) 2))))
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* u2 (* (PI) 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (* (PI) 2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
u2
(* (PI) 2)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
(pow (sin (* u2 (PI))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* (sqrt u1) -1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* (pow (* u1 u1) 1/4) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))
(pow (* u1 u1) 1/4)
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* u1 u1)
(*.f32 u1 u1)
u1
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (*.f32 u1 u1)))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (*.f32 u1 u1))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (.f32 u1 (.f32 u1 u1)))
(* u1 (* u1 u1))
(.f32 u1 (.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* -2 (* u2 u2))
(.f32 u2 (.f32 u2 #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* u2 u2)
(*.f32 u2 u2)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1)
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)))
(- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)))
(pow (cos (* (PI) u2)) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(cos (* (PI) u2))
(cos.f32 (*.f32 u2 (PI.f32)))
(* (PI) u2)
(*.f32 u2 (PI.f32))
(PI)
(PI.f32)
u2
4
#s(literal 4 binary32)
(pow (sin (* (PI) u2)) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(sin (* (PI) u2))
(sin.f32 (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)

localize456.0ms (3.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	99.0%	(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	97.6%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	81.7%	(PI.f32)
✓	accuracy	99.0%	(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))
✓	accuracy	98.9%	(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	97.5%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	81.7%	(PI.f32)
✓	accuracy	99.7%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.6%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	81.7%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.1%	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
✓	accuracy	99.1%	(*.f32 u2 (PI.f32))
✓	accuracy	98.6%	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
✓	accuracy	81.7%	(PI.f32)

Results

131.0ms	50×	5	exit
116.0ms	146×	0	valid
110.0ms	60×	1	valid

Compiler

Compiled 384 to 56 computations (85.4% saved)

Precisions

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

ival-mult: 66.0ms (24% of total)

ival-pow: 47.0ms (17.1% of total)

backward-pass: 35.0ms (12.7% of total)

compiled-spec: 34.0ms (12.4% of total)

ival-log: 20.0ms (7.3% of total)

ival-cos: 17.0ms (6.2% of total)

ival-add: 15.0ms (5.5% of total)

ival-sin: 11.0ms (4% of total)

ival-sqrt: 10.0ms (3.6% of total)

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

ival-sub: 5.0ms (1.8% of total)

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

const: 2.0ms (0.7% of total)

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

series72.0ms (0.5%)

Counts

27 → 348

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (* (pow (* u1 u1) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (* u1 u1) 1/4)>
#<alt (* u1 u1)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))>
#<alt (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))>
#<alt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))>
#<alt (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))>
#<alt (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1)>
#<alt (PI)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (* u2 (PI))>
#<alt (* u2 (* (PI) 2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (PI) (PI))>
#<alt (log (+ 1 (* u1 (+ 1 u1))))>
#<alt (* (* (PI) (PI)) (* -2 (* u2 u2)))>
#<alt (pow (sin (* (PI) u2)) 4)>
#<alt (pow (cos (* (PI) u2)) 4)>
#<alt (* (PI) u2)>

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))))>
#<alt (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
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#<alt (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))))))))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2)))>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (pow (sin (* u2 (PI))) 2)>
#<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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<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

87 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))
10.0ms	u2	@	0	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
7.0ms	u1	@	-inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
2.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))
1.0ms	u1	@	inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))

rewrite442.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2708×	`-lowering-.f32`
2708×	`-lowering-.f64`
2218×	`fma-lowering-fma.f32`
2218×	`fma-lowering-fma.f64`
1684×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	181
1	290	176
2	2207	134
0	9043	134

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 838

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (PI))) 2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt u1) -1)
(sqrt u1)
(* (pow (* u1 u1) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* u1 u1) 1/4)
(* u1 u1)
(cos (* (* 2 (PI)) u2))
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (+ 1 (* (* (PI) (PI)) (* -2 (* u2 u2)))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1))
(/ (- (pow (cos (* (PI) u2)) 4) (pow (sin (* (PI) u2)) 4)) 1)
(PI)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (* (PI) 2))
(* (* 2 (PI)) u2)
(* (PI) (PI))
(log (+ 1 (* u1 (+ 1 u1))))
(* (* (PI) (PI)) (* -2 (* u2 u2)))
(pow (sin (* (PI) u2)) 4)
(pow (cos (* (PI) u2)) 4)
(* (PI) u2)

Outputs
(+.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32))) (.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)))))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))))
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(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))))
(.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))
(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))
(.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 u2)))
(.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))) #s(literal 1 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))
(.f32 (.f32 u2 #s(literal -2 binary32)) (.f32 u2 (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (PI.f32))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 #s(literal -2 binary32))) u2)
(.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) u2) u2)
(.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 u2))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 u2)) #s(literal -2 binary32))
(exp.f32 (.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) #s(literal 2 binary32)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32))))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 3 binary32)))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) #s(literal 1 binary32))
(.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 3 binary32)) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 1/2 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 1/2 binary32)) #s(literal 4 binary32)))
(exp.f32 (.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (.f32 u2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (.f32 (log.f32 (cos.f32 (.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (.f32 (log.f32 (cos.f32 (.f32 u2 (PI.f32)))) #s(literal 2 binary32))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (cos.f32 (*.f32 u2 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal -4 binary32))))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)))) #s(literal 1 binary32))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify390.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

8222×	`-lowering-.f32`
8222×	`-lowering-.f64`
4382×	`+-lowering-+.f64`
4382×	`+-lowering-+.f32`
1456×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	775	6872
1	2690	5928
0	8706	5928

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))))
(* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
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(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))))))))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2)))
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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)))
(* 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)))
(* 2 (* u2 (PI)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))
(+.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))))
(+.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) u1)))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 u1))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 u1))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 (.f32 u1 u1)))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
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(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal -2/3 binary32) u1))) u1) #s(literal -1 binary32)) u1))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal -2/3 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval195.0ms (1.4%)

Compiler: Compiled 54155 to 4826 computations (91.1% saved)

prune271.0ms (2%)

Pruning

66 alts after pruning (60 fresh and 6 done)

	Pruned	Kept	Total
New	1612	24	1636
Fresh	14	36	50
Picked	3	2	5
Done	0	4	4
Total	1629	66	1695

Accuracy

99.9%

Counts

1695 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(/.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))))) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
	73.9%	(+.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))))
	4.8%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	75.7%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	4.7%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
	75.9%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
	76.0%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
	68.7%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
	75.9%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	64.3%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	75.7%	(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	79.8%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	77.1%	(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
	84.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	77.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	83.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	76.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	88.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	79.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	73.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	86.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #s(literal 1/2 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.5%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
▶	76.0%	(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	76.0%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	68.7%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	68.7%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
	4.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
	76.0%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
▶	74.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	62.8%	(sqrt.f32 (log1p.f32 u1))
▶	64.4%	(sqrt.f32 u1)

Compiler

Compiled 2969 to 2074 computations (30.1% saved)

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (PI.f32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 (PI.f32) u2))
✓	cost-diff	3232	(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
✓	cost-diff	3264	(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓	cost-diff	0	(log.f32 u1)
✓	cost-diff	0	(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
✓	cost-diff	3232	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
✓	cost-diff	3232	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log.f32 u1)
✓	cost-diff	0	(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
✓	cost-diff	3232	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
✓	cost-diff	3232	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
✓	cost-diff	-32	(sqrt.f32 u1)
✓	cost-diff	3264	(pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32))
✓	cost-diff	3264	(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))
✓	cost-diff	3264	(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32))))
✓	cost-diff	3264	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))

Rules

2362×	`fnmadd-define`
2170×	`sum3-define`
2056×	`sum5-define`
2048×	`sum4-define`
1914×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	270
1	111	244
2	240	244
3	468	244
4	863	244
5	1590	244
6	3158	244
7	6319	244
0	8645	244

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ 1/2 (- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))
1/2
#s(literal 1/2 binary32)
(- (* 1/2 (cos (* u2 (* (PI) 2)))) (pow (sin (* u2 (* (PI) (log (E))))) 2))
(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* 1/2 (cos (* u2 (* (PI) 2))))
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* u2 (* (PI) 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (* (PI) 2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
u2
(* (PI) 2)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
(pow (sin (* u2 (* (PI) (log (E))))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
(sin (* u2 (* (PI) (log (E)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* (PI) (log (E)))
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(* (exp (* (log u1) 1/2)) -1)
(-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(exp (* (log u1) 1/2))
(pow.f32 u1 #s(literal 1/2 binary32))
(* (log u1) 1/2)
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(log u1)
(log.f32 u1)
u1
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)
(* (exp (* (log u1) 1/2)) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32)))
(exp (* (log u1) 1/2))
(pow.f32 u1 #s(literal 1/2 binary32))
(* (log u1) 1/2)
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(log u1)
(log.f32 u1)
u1
1/2
#s(literal 1/2 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt u1) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32)))
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(sin (* (PI) u2))
(sin.f32 (*.f32 u2 (PI.f32)))
(* (PI) u2)
(*.f32 u2 (PI.f32))
(PI)
(PI.f32)
u2
(neg (sin (* (PI) u2)))
(neg.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
1/2
#s(literal 1/2 binary32)
(* (cos (* 2 (* (PI) u2))) 1/2)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* (PI) u2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)

localize211.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
✓	accuracy	99.4%	(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
✓	accuracy	99.2%	(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	96.5%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
✓	accuracy	100.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
✓	accuracy	100.0%	(log.f32 u1)
✓	accuracy	96.5%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	98.9%	(.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))
✓	accuracy	98.9%	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
✓	accuracy	98.4%	(pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32))
✓	accuracy	96.9%	(log.f32 (E.f32))

Results

149.0ms

256×

valid

Compiler

Compiled 295 to 43 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 30.0ms (28.8% of total)

ival-cos: 15.0ms (14.4% of total)

ival-sin: 11.0ms (10.6% of total)

ival-log: 11.0ms (10.6% of total)

compiled-spec: 10.0ms (9.6% of total)

ival-add: 6.0ms (5.8% of total)

ival-exp: 4.0ms (3.8% of total)

ival-sqrt: 4.0ms (3.8% of total)

ival-neg: 4.0ms (3.8% of total)

ival-e: 3.0ms (2.9% of total)

ival-pow: 3.0ms (2.9% of total)

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

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

const: 1.0ms (1% of total)

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

series116.0ms (0.9%)

Counts

20 → 264

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))))))>
#<alt (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (* (pow (PI) 2) (pow (log (E)) 2))))) (sqrt (log (- 1 u1)))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (* (pow (PI) 2) (pow (log (E)) 2))))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (sqrt (log (- 1 u1)))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (* (pow (PI) 2) (pow (log (E)) 2))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (* (pow (PI) 6) (pow (log (E)) 6))) (* 1/36 (* (pow (PI) 6) (pow (log (E)) 6))))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))>
#<alt 1>
#<alt (+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (* (pow (PI) 6) (pow (log (E)) 6))) (* 1/36 (* (pow (PI) 6) (pow (log (E)) 6))))))) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt 1/2>
#<alt (+ 1/2 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (* (pow (PI) 6) (pow (log (E)) 6))) (* 1/36 (* (pow (PI) 6) (pow (log (E)) 6))))))) (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4)))))) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))>
#<alt (* (pow u2 2) (* (pow (PI) 2) (pow (log (E)) 2)))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (* (pow (PI) 4) (pow (log (E)) 4)))) (* (pow (PI) 2) (pow (log (E)) 2))))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4))) (* (pow u2 2) (+ (* 1/60 (* (pow (PI) 6) (pow (log (E)) 6))) (* 1/36 (* (pow (PI) 6) (pow (log (E)) 6))))))) (* (pow (PI) 2) (pow (log (E)) 2))))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 4) (pow (log (E)) 4))) (* (pow u2 2) (+ (* 1/60 (* (pow (PI) 6) (pow (log (E)) 6))) (+ (* 1/36 (* (pow (PI) 6) (pow (log (E)) 6))) (* (pow u2 2) (+ (* -1/360 (* (pow (PI) 8) (pow (log (E)) 8))) (* -1/2520 (* (pow (PI) 8) (pow (log (E)) 8)))))))))) (* (pow (PI) 2) (pow (log (E)) 2))))>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (pow (sin (* u2 (* (PI) (log (E))))) 2)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (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 u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (* (sqrt u1) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* 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 (* u2 (PI))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 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))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>

Calls

66 calls:

Time	Variable		Point	Expression
68.0ms	u2	@	0	(* u2 (* (PI) (log (E))))
13.0ms	u1	@	-inf	(* (log u1) 1/2)
7.0ms	u1	@	inf	(* (log u1) 1/2)
6.0ms	u1	@	0	(* (log u1) 1/2)
3.0ms	u1	@	0	(exp (* (log u1) 1/2))

rewrite383.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3054×	`-lowering-.f32`
3054×	`-lowering-.f64`
2428×	`+-lowering-+.f64`
2428×	`+-lowering-+.f32`
2100×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	153
1	230	108
2	1498	108
0	8742	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 619

Calls

Call 1

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

Outputs
(+.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))
(+.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(-.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))) (/.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))))
(/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (-.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))
(/.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (-.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) #s(literal 1/2 binary32)))))
(/.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) #s(literal 2 binary32)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
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(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(-.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))
(/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 1/4 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 (.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))))
(.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))
(.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))))
(.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))

simplify269.0ms (2%)

Algorithm

1×	egg-herbie

Rules

4914×	`-lowering-.f32`
4914×	`-lowering-.f64`
3576×	`+-lowering-+.f64`
3576×	`+-lowering-+.f32`
918×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	3828
1	1105	3292
2	4829	3115
0	8245	3115

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))))))
(* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))
(+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2)))))
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Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (* (PI) (log (E))))) 2))))
(.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
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(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal -2/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))) (*.f32 (PI.f32) (PI.f32)))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))

eval382.0ms (2.8%)

Compiler: Compiled 43277 to 2006 computations (95.4% saved)

prune205.0ms (1.5%)

Pruning

71 alts after pruning (62 fresh and 9 done)

	Pruned	Kept	Total
New	998	17	1015
Fresh	10	45	55
Picked	1	4	5
Done	1	5	6
Total	1010	71	1081

Accuracy

99.9%

Counts

1081 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
	64.3%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	98.3%	(/.f32 (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 3 binary32)) (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))))
	76.0%	(+.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
	4.8%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	75.7%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	4.7%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
	75.9%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
	68.7%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
	75.9%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	74.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	75.7%	(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	79.8%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	68.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
	77.1%	(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
	84.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	77.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	83.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	76.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	88.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	79.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	73.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	86.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	80.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.5%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	76.0%	(.f32 (sqrt.f32 u1) (fma.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))
	76.0%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	76.0%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
	68.7%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	4.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
	76.0%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	73.4%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.8%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
	67.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
✓	74.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	4.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	62.8%	(sqrt.f32 (log1p.f32 u1))
✓	64.4%	(sqrt.f32 u1)
	63.6%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))

Compiler

Compiled 4420 to 1659 computations (62.5% saved)

regimes367.0ms (2.7%)

Counts

108 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))))) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(+.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
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(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (+.f32 #s(literal 1/4 binary32) (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))))) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1/4 binary32) (+.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 #s(literal 1/4 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))) (.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))) (.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 3 binary32)) (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))

Calls

10 calls:

49.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
48.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
38.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
34.0ms	cosTheta_i
33.0ms	u2

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes272.0ms (2%)

Counts

87 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))))) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(+.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (neg.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
(.f32 (sqrt.f32 u1) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Calls

10 calls:

36.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
31.0ms	cosTheta_i
30.0ms	u2
27.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
26.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes112.0ms (0.8%)

Counts

40 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))))) (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

18.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms	u1
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
94.1%	1	`cosTheta_i`
97.4%	2	`u1`
97.6%	2	`u2`
97.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes78.0ms (0.6%)

Counts

36 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

3 calls:

35.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
31.0ms	u2
9.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
97.4%	2	`u2`
97.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes138.0ms (1%)

Counts

35 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

33.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
28.0ms	u1
17.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	cosTheta_i
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
88.5%	1	`cosTheta_i`
95.7%	2	`u1`
95.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.9%	2	`u2`
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes36.0ms (0.3%)

Counts

34 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

3 calls:

13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	u2

Results

Accuracy	Segments	Branch
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`u2`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes81.0ms (0.6%)

Counts

32 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

8 calls:

15.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms	u2
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	u1

Results

Accuracy	Segments	Branch
93.8%	2	`u1`
93.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.7%	2	`u2`
94.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes97.0ms (0.7%)

Counts

29 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

25.0ms	u1
10.0ms	u2
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
84.5%	1	`cosTheta_i`
88.8%	2	`u1`
88.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.5%	2	`u2`
91.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes17.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

2 calls:

7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	u2

Results

Accuracy	Segments	Branch
91.5%	2	`u2`
91.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes66.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

6 calls:

29.0ms	u2
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	u1
7.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
84.5%	1	`u1`
84.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.5%	1	`u2`

Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes21.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

3 calls:

9.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Accuracy	Segments	Branch
83.1%	1	`u2`
83.1%	1	`cosTheta_i`
83.1%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))

Calls

3 calls:

19.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
83.4%	2	`u2`
79.6%	1	`cosTheta_i`
83.4%	2	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

3 calls:

11.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
77.7%	1	`cosTheta_i`
81.4%	2	`u2`
81.1%	2	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

3 calls:

7.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
76.5%	1	`cosTheta_i`
79.9%	2	`u1`
80.3%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

3 calls:

6.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Accuracy	Segments	Branch
73.6%	1	`cosTheta_i`
77.1%	2	`u1`
77.4%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))

Calls

1 calls:

3.0ms

u2

Results

Accuracy	Segments	Branch
77.4%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))

Outputs
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

Calls

2 calls:

3.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
73.6%	1	`u1`
73.6%	1	`u2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Accuracy

Total -19.5b remaining (-170.8%)

Threshold costs -19.5b (-170.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

11.0ms	u2
2.0ms	u1
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
64.4%	1	`cosTheta_i`
64.4%	1	`u1`
64.4%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004520296584814787	0.004565572366118431

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06324448436498642	0.08374199271202087

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.002563722664490342	0.0027321120724081993

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0007266334141604602	0.0008067676681093872

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0007266334141604602	0.0008067676681093872

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0005434365011751652	0.0006346102454699576

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0005434365011751652	0.0006346102454699576

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary32`
30×	`+-commutative_binary32`
8×	`*-rgt-identity_binary32`
8×	`sub-neg_binary32`
6×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	555
1	171	555
2	178	555
3	182	555
4	183	555

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(if (<=.f32 u1 #s(literal 11166915/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9771051/2147483648 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))))
(if (<=.f32 u1 #s(literal 11166915/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)))
(if (<=.f32 u1 #s(literal 11166915/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/17179869184 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 5153961/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness2.2s (16.2%)

Rules

8372×	`-lowering-.f32`
8372×	`-lowering-.f64`
8222×	`-lowering-.f32`
8222×	`-lowering-.f64`
5686×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	94	68
2	531	60
3	4574	60
0	8351	60
0	775	6872
1	2690	5928
0	8706	5928
0	306	3514
1	982	2936
2	3477	2700
0	8030	2700
0	57	181
1	290	176
2	2207	134
0	9043	134
0	737	7749
1	2555	6632
0	8432	6632
0	13	13
1	25	12
2	38	12
3	48	12
4	62	12
5	79	12
6	101	12
7	115	12
8	127	12
9	128	12
0	128	12
0	343	3828
1	1105	3292
2	4829	3115
0	8245	3115

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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 1690 to 1007 computations (40.4% saved)

preprocess114.0ms (0.8%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1496 to 498 computations (66.7% saved)

analyze476.0ms (3.5%)

sample2.8s (20.3%)

preprocess77.0ms (0.6%)

explain148.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize169.0ms (1.2%)

series47.0ms (0.3%)

rewrite272.0ms (2%)

simplify293.0ms (2.1%)

eval41.0ms (0.3%)

prune96.0ms (0.7%)

simplify147.0ms (1.1%)

localize278.0ms (2%)

series138.0ms (1%)

rewrite388.0ms (2.8%)

simplify369.0ms (2.7%)

eval189.0ms (1.4%)

prune296.0ms (2.2%)

simplify142.0ms (1%)

localize456.0ms (3.3%)

series72.0ms (0.5%)

rewrite442.0ms (3.2%)

simplify390.0ms (2.9%)

eval195.0ms (1.4%)

prune271.0ms (2%)

simplify192.0ms (1.4%)

localize211.0ms (1.5%)

series116.0ms (0.9%)

rewrite383.0ms (2.8%)

simplify269.0ms (2%)

eval382.0ms (2.8%)

prune205.0ms (1.5%)

regimes367.0ms (2.7%)

regimes272.0ms (2%)

regimes112.0ms (0.8%)

regimes78.0ms (0.6%)

regimes138.0ms (1%)

regimes36.0ms (0.3%)

regimes81.0ms (0.6%)

regimes97.0ms (0.7%)

regimes17.0ms (0.1%)

regimes66.0ms (0.5%)

regimes21.0ms (0.2%)

regimes30.0ms (0.2%)

regimes22.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness2.2s (16.2%)

preprocess114.0ms (0.8%)

end0.0ms (0%)

Profiling