Metrics for Beckmann Sample, near normal, slope

analyze495.0ms (2.9%)

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: 298.0ms

...c/correct-round.rkt:119:19: 81.0ms (27.2% of total)

ival-mult: 39.0ms (13.1% of total)

ival-log: 37.0ms (12.4% of total)

ival-sub: 34.0ms (11.4% of total)

ival-<=: 29.0ms (9.7% of total)

ival-sin: 26.0ms (8.7% of total)

ival-sqrt: 13.0ms (4.4% of total)

ival-and: 12.0ms (4% of total)

ival-neg: 9.0ms (3% of total)

ival-pi: 8.0ms (2.7% of total)

ival->: 8.0ms (2.7% of total)

const: 2.0ms (0.7% of total)

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

sample2.3s (13.7%)

Results

1.9s	8256×	0	valid
1.0ms	3×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.4s

...c/correct-round.rkt:119:19: 341.0ms (23.8% of total)

ival-mult: 237.0ms (16.6% of total)

ival-<=: 199.0ms (13.9% of total)

ival-log: 178.0ms (12.4% of total)

ival-sin: 141.0ms (9.9% of total)

ival-sqrt: 76.0ms (5.3% of total)

ival-pi: 56.0ms (3.9% of total)

ival-sub: 56.0ms (3.9% of total)

ival-and: 55.0ms (3.8% of total)

ival-neg: 42.0ms (2.9% of total)

ival->: 37.0ms (2.6% of total)

const: 9.0ms (0.6% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess106.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2146×	`fnmadd-define`
1942×	`fma-define`
1466×	`sum3-define`
988×	`fmsub-define`
968×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	99	118
2	195	118
3	372	118
4	758	118
5	1629	118
6	2380	118
7	3135	118
8	5576	118
9	5980	118
10	6185	118
11	6259	118
12	6287	118
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)))) (sin (* (* 2 (PI)) u2)))

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

Call 2

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

Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p u1))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (sin (* u1 (* 2 (PI)))))

Symmetry

(abs cosTheta_i)

(negabs u2)

explain165.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	8	(0.9999945163726807 0.007173123769462109 2.737330362378998e-8)	3	(0.999943196773529 0.030446678400039673 8.793819142738357e-5)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`(sin.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

112.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-log: 12.0ms (26.4% of total)

ival-mult: 10.0ms (22% of total)

ival-sin: 7.0ms (15.4% of total)

ival-neg: 6.0ms (13.2% of total)

ival-sqrt: 4.0ms (8.8% of total)

ival-sub: 3.0ms (6.6% of total)

ival-pi: 2.0ms (4.4% of total)

const: 1.0ms (2.2% 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
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	56.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Status

Accuracy

Program

▶

98.6%

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

▶

56.3%

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify11.0ms (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)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

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

Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin (* (* 2 (PI)) u2))
(sin.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))))) (sin (* 2 (* (PI) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin (* 2 (* (PI) u2)))
(sin.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

localize171.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	99.6%	(sin.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	54.3%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

143.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-sqrt: 28.0ms (34.2% of total)

ival-sin: 20.0ms (24.4% of total)

ival-mult: 10.0ms (12.2% of total)

ival-log: 9.0ms (11% of total)

compiled-spec: 6.0ms (7.3% of total)

ival-neg: 4.0ms (4.9% of total)

ival-sub: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

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

series76.0ms (0.4%)

Counts

12 → 168

Calls

Call 1

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

Outputs
#<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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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 (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 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 (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>

Calls

42 calls:

Time	Variable		Point	Expression
60.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite234.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
1320×	`unpow-prod-down`
1250×	`pow-lowering-pow.f64`
1250×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	70	68
2	225	68
3	1341	68
4	7322	68
0	8118	68

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 264

Calls

Call 1

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

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

simplify333.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

5962×	`-lowering-.f32`
5962×	`-lowering-.f64`
3478×	`+-lowering-+.f64`
3478×	`+-lowering-+.f32`
2350×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3588
1	1045	2966
2	3749	2730
0	8379	2730

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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))))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 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))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(.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))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (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)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 (.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32)))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 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 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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 (sin.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 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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 (sin.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) (sin.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 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 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 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (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 (+.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)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.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 (sin.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 #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))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) u2))
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(.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.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))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

eval36.0ms (0.2%)

Compiler: Compiled 9273 to 1002 computations (89.2% saved)

prune61.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	413	19	432
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	414	20	434

Accuracy

99.3%

Counts

434 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.8%	(.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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.9%	(.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))))))) (sin.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
▶	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	94.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (.f32 u2 u2) #s(literal -8/315 binary32))) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	82.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	97.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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)))))))
▶	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
	97.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	50.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	56.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (PI.f32) u2))))
▶	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	77.5%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 925 to 687 computations (25.7% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓	cost-diff	6528	(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
✓	cost-diff	0	(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) 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	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))

Rules

2108×	`fnmadd-define`
1852×	`fma-define`
1828×	`sum3-define`
1682×	`fmsub-define`
1610×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	277
1	94	267
2	193	264
3	360	264
4	511	264
5	593	264
6	698	264
7	1724	264
8	2365	264
9	4399	264
10	5904	264
11	7370	264
0	8023	264

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize308.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓	accuracy	98.7%	(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	51.0%	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	98.9%	(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	99.6%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.1%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	99.4%	(.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓	accuracy	98.5%	(PI.f32)

Results

225.0ms	252×	0	valid
14.0ms	4×	5	exit

Compiler

Compiled 314 to 42 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 28.0ms (27.3% of total)

ival-log: 13.0ms (12.7% of total)

ival-sqrt: 11.0ms (10.7% of total)

ival-sin: 11.0ms (10.7% of total)

compiled-spec: 11.0ms (10.7% of total)

ival-pow: 6.0ms (5.9% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.9% of total)

ival-add: 4.0ms (3.9% of total)

ival-neg: 4.0ms (3.9% of total)

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

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

backward-pass: 2.0ms (2% of total)

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

const: 1.0ms (1% of total)

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

series66.0ms (0.4%)

Counts

23 → 324

Calls

Call 1

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

Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* 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) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<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 (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 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 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
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#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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 (* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>

Calls

81 calls:

Time	Variable		Point	Expression
19.0ms	u2	@	inf	(* (sqrt (log (/ 1 (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
8.0ms	u1	@	0	(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
4.0ms	u1	@	-inf	(sqrt u1)
3.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))

rewrite280.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2944×	`-lowering-.f32`
2944×	`-lowering-.f64`
1156×	`sum5-define`
998×	`+-lowering-+.f64`
998×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	177
1	134	146
2	421	143
3	1842	143
0	8163	143

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 594

Calls

Call 1

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

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

simplify449.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5662×	`-lowering-.f32`
5662×	`-lowering-.f64`
4732×	`+-lowering-+.f64`
4732×	`+-lowering-+.f32`
1330×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	840	6325
1	2987	5441
2	7366	5415
0	8004	5415

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* 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)))
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(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 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)))
(* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))

Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (.f32 (.f32 u1 u1) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -1/3 binary32) (sqrt.f32 u1))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/3 binary32)) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.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 (neg.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (neg.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(+.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.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 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (neg.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (+.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 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)) (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 (cos.f32 (.f32 u2 (PI.f32))) (+.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (.f32 u2 (PI.f32))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (-.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/3 binary32) (.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1)))) u1)) u1))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 2/15 binary32)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 2/15 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) #s(literal -29/5040 binary32))))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
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(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.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)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
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(* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal 1/3 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal 1/3 binary32)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3))))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal 1/3 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal 1/3 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))))) (/.f32 (.f32 (.f32 #s(literal -1/32 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 #s(literal 1/3 binary32) (sqrt.f32 #s(literal 1/3 binary32))))))
(* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32)))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(.f32 (.f32 u1 u1) (-.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32))))) (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/32 binary32) (sqrt.f32 u1)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal -3 binary32) (sqrt.f32 #s(literal 1/3 binary32))))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 1/3 binary32)))))) (.f32 u1 (.f32 u1 u1)))))
(* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* u2 (PI))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.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)))))))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI)))))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.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 2 binary32) (.f32 (PI.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)))))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 5))))))))
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(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 5)))))))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.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))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.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))))))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
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(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
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(* (sqrt (pow u1 3)) (sqrt 1/3))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 1/3 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 1/3 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))))) (/.f32 (.f32 #s(literal -1/32 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (.f32 #s(literal 1/3 binary32) (sqrt.f32 #s(literal 1/3 binary32))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))
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(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(.f32 u2 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 4/15 binary32) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -8/315 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 #s(literal 4/15 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.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))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(.f32 u2 (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -29/5040 binary32)))))))))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))

eval149.0ms (0.9%)

Compiler: Compiled 37226 to 4337 computations (88.3% saved)

prune384.0ms (2.2%)

Pruning

51 alts after pruning (47 fresh and 4 done)

	Pruned	Kept	Total
New	1642	40	1682
Fresh	7	7	14
Picked	2	3	5
Done	0	1	1
Total	1651	51	1702

Accuracy

99.9%

Counts

1702 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.8%	(/.f32 (.f32 #s(literal 2 binary32) (pow.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 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))
▶	77.3%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
	91.8%	(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	87.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	74.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
	77.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.4%	(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
	77.4%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)))
	82.6%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
▶	67.2%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
	91.9%	(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.8%	(.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 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	84.2%	(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	78.2%	(.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 2 binary32) (.f32 u2 (PI.f32))))
	91.5%	(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
	90.3%	(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	91.9%	(.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))))))) (sin.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	97.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	93.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	50.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	47.8%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
	53.1%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))) u2)))
	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.3%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	71.5%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
	77.1%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	77.5%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.9%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.1%	(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.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 2 binary32) (.f32 (PI.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)))))))))))
	90.0%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))

Compiler

Compiled 2170 to 1691 computations (22.1% saved)

simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2042×	`-lowering-.f32`
2042×	`-lowering-.f64`
1474×	`sum3-define`
1256×	`sum4-define`
1036×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	347
1	118	345
2	326	336
3	951	332
4	1956	325
5	4704	319
0	8461	319

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize489.0ms (2.9%)

Localize:

Found 20 expressions of interest:

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

Results

300.0ms

256×

valid

Compiler

Compiled 389 to 50 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 38.0ms (24.6% of total)

ival-div: 37.0ms (24% of total)

ival-cos: 19.0ms (12.3% of total)

ival-pow: 12.0ms (7.8% of total)

ival-sin: 11.0ms (7.1% of total)

compiled-spec: 9.0ms (5.8% of total)

ival-add: 8.0ms (5.2% of total)

ival-log: 5.0ms (3.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (3.2% of total)

ival-sqrt: 4.0ms (2.6% of total)

ival-neg: 4.0ms (2.6% of total)

ival-pi: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

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

series50.0ms (0.3%)

Counts

26 → 396

Calls

Call 1

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

Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* u2 (PI))))) (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))) (* -1/3 (* (sqrt u1) (sin (* u2 (PI))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))) (* u1 (+ (* -1 (* (sqrt u1) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/3 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))))))))>
#<alt (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (/ (sin (* u2 (PI))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* u2 (PI)))) (* (/ (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1 (* (/ (* (sin (* 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)) (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* u2 (PI))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/60 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/2520 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 1/60 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))>
#<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 (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 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 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
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#<alt (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow (log (/ -1 u1)) 3))))) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow (log (/ -1 u1)) 3))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* -1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ -1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ -1 u1)) 3)))) (* u1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (sqrt (log (/ -1 u1)))))) u1)) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (/ 1 (pow (log (/ -1 u1)) 3))) (log (/ -1 u1)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ -1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ -1 u1)) 3)))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))) (* 1/3 (/ 1 (pow (log (/ -1 u1)) 2)))))) (* u1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (sqrt (log (/ -1 u1))))) (* 1/2 (* (sqrt (log (/ -1 u1))) (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ -1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ -1 u1)) 3)))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))) u1)) (* -1/2 (* (sqrt (/ 1 (pow (log (/ -1 u1)) 3))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))) u1)) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI)))))))>
#<alt (* 4 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -8/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 8/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -16/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 8/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))>
#<alt (+ (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/3 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))) (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1 (* (/ (* (sin (* 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)) (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 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 (* 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 (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 (* u2 (PI)))>
#<alt (/ (+ (* 2/3 (* (pow u2 2) (PI))) (/ 1 (PI))) u2)>
#<alt (/ (+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)>
#<alt (/ (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/315 (pow (PI) 5)) (+ (* 4/45 (pow (PI) 5)) (* 2/3 (* (pow (PI) 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))))))) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (/ 2 (sin (* 2 (* u2 (PI)))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 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 (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	-inf	(* (* 2 (sqrt u1)) (* u2 (PI)))
3.0ms	u2	@	inf	(/ 2 (* (+ (sin (* 2 (* (PI) u2))) 0) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) 2)))
2.0ms	u1	@	inf	(/ 2 (* (+ (sin (* 2 (* (PI) u2))) 0) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) 2)))
2.0ms	u1	@	-inf	(/ 2 (* (+ (sin (* 2 (* (PI) u2))) 0) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) 2)))
2.0ms	u2	@	inf	(* (sqrt (neg (* (* u1 (* u1 u1)) (+ -1/3 (/ (+ -1/2 (/ -1 u1)) u1))))) (sin (* (* 2 (PI)) u2)))

rewrite385.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
1468×	`+-lowering-+.f64`
1468×	`+-lowering-+.f32`
1378×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	221
1	187	207
2	856	196
3	5263	196
0	8330	196

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1030

Calls

Call 1

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

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

simplify445.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

6838×	`-lowering-.f32`
6838×	`-lowering-.f64`
4956×	`+-lowering-+.f64`
4956×	`+-lowering-+.f32`
1390×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	996	8455
1	3573	7293
0	8299	7293

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* u2 (PI))))) (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))) (* -1/3 (* (sqrt u1) (sin (* u2 (PI))))))))
(+ (* 2 (* (sqrt u1) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))) (* u1 (+ (* -1 (* (sqrt u1) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/3 (* (sqrt (/ 1 u1)) (sin (* u2 (PI))))))))))
(* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (sin (* u2 (PI))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* u2 (PI))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))
(+ (* -1 (* (/ (sin (* u2 (PI))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* u2 (PI)))) (* (/ (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1 (* (/ (* (sin (* 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)) (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* u2 (PI))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/60 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -1/2520 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 1/60 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* u2 (PI))) (sqrt -1))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
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))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
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(+ (* 1/2 (* (/ 1 (* u1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow (log (/ -1 u1)) 3))))) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow (log (/ -1 u1)) 3))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* -1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ -1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ -1 u1)) 3)))) (* u1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (sqrt (log (/ -1 u1)))))) u1)) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI)))))))
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(* 4 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -8/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 8/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 4 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -16/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 8/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
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(* 2 (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(+ (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/3 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))) (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* 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))))))))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(/ 1 (* u2 (PI)))
(/ (+ (* 2/3 (* (pow u2 2) (PI))) (/ 1 (PI))) u2)
(/ (+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)
(/ (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/315 (pow (PI) 5)) (+ (* 4/45 (pow (PI) 5)) (* 2/3 (* (pow (PI) 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))))))) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)
(/ 2 (sin (* 2 (* u2 (PI)))))
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(/ 2 (sin (* 2 (* u2 (PI)))))
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(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(pow u1 3)
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(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)

Outputs
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(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32))))))
(* u2 (+ (* -4/3 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))))) (* 2 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (PI) (sqrt -1))))))
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(* u2 (+ (* 2 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow (PI) 3) (sqrt -1)))) (* 4/15 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow u2 2) (* (pow (PI) 5) (sqrt -1)))))))))
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(* u2 (+ (* 2 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow (PI) 3) (sqrt -1)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))))) (* 4/15 (* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (pow (PI) 5) (sqrt -1))))))))))
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(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
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(* (sqrt (pow u1 3)) (sqrt 1/3))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
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(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1/3 binary32)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/3 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/3 binary32))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
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(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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(-.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (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 (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 (.f32 (.f32 (sin.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) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1))))) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(+ (* -1 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* 2 (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (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 (neg.f32 (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.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 u1 (.f32 u1 u1)))) (neg.f32 (.f32 (.f32 (sin.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) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1))))) (-.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -1 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1))
(+ (* -1 (/ (+ (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))) (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1 (* (/ (* (sin (* 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)) (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) u1)) (* 2 (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (neg.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)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1)))) u1)) u1))
(* 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) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))
(.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))
(* 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))))))))
(.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(/ 1 (* u2 (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 u2 (PI.f32)))
(/ (+ (* 2/3 (* (pow u2 2) (PI))) (/ 1 (PI))) u2)
(/.f32 (+.f32 (.f32 (.f32 (PI.f32) (*.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2)
(/ (+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (.f32 (PI.f32) #s(literal 2/3 binary32))))) u2)
(/ (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/315 (pow (PI) 5)) (+ (* 4/45 (pow (PI) 5)) (* 2/3 (* (pow (PI) 2) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))))))) (+ (* -4/9 (pow (PI) 3)) (* 2/15 (pow (PI) 3))))) (* -2/3 (PI)))) (/ 1 (PI))) u2)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 8/105 binary32)) (.f32 (.f32 #s(literal 2/3 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -14/45 binary32)))) (.f32 #s(literal -1 binary32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32)))) (.f32 (PI.f32) #s(literal 2/3 binary32))))) u2)
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(/ 2 (sin (* 2 (* u2 (PI)))))
(/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (.f32 (.f32 #s(literal 4/15 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -8/315 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.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)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))

eval252.0ms (1.5%)

Compiler: Compiled 44260 to 5145 computations (88.4% saved)

prune610.0ms (3.6%)

Pruning

66 alts after pruning (60 fresh and 6 done)

	Pruned	Kept	Total
New	1902	26	1928
Fresh	8	34	42
Picked	3	2	5
Done	0	4	4
Total	1913	66	1979

Accuracy

100.0%

Counts

1979 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	91.8%	(/.f32 (.f32 #s(literal 2 binary32) (pow.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 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))
	74.9%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
	77.2%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
	72.1%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
	70.9%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
	77.0%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal 0 binary32))))
	71.3%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	67.1%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
▶	77.3%	(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
	77.2%	(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
	77.3%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal 0 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
	82.6%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 2 binary32)))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
	91.8%	(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	87.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	74.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
	67.1%	(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
	88.8%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	97.9%	(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))) (cos.f32 (.f32 (PI.f32) u2)))
✓	98.4%	(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
	77.4%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)))
	91.6%	(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) #s(literal 1/2 binary32)))
	67.1%	(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
	82.6%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	66.8%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
	67.0%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	67.2%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
	91.9%	(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))) (/.f32 #s(literal -1 binary32) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.8%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))) (.f32 u1 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.8%	(.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 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	84.2%	(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	78.2%	(.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 2 binary32) (.f32 u2 (PI.f32))))
	90.3%	(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	91.9%	(.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))))))) (sin.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	93.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
▶	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	50.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	47.8%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.5%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	77.5%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.1%	(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.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 2 binary32) (.f32 (PI.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)))))))))))
▶	90.0%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
▶	67.1%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))

Compiler

Compiled 2752 to 2138 computations (22.3% saved)

simplify156.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 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	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
✓	cost-diff	160	(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
✓	cost-diff	0	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
✓	cost-diff	64	(+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))
✓	cost-diff	0	(*.f32 (PI.f32) u2)
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
✓	cost-diff	0	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	cost-diff	64	(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (sqrt.f32 u1) u2)
✓	cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) u2) (PI.f32))
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
✓	cost-diff	64	(/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))

Rules

2976×	`-lowering-.f32`
2976×	`-lowering-.f64`
1550×	`+-lowering-+.f64`
1550×	`+-lowering-+.f32`
1528×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	293
1	120	291
2	310	284
3	920	275
4	1625	275
5	5494	275
0	8379	275

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize294.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2)
✓	accuracy	96.9%	(+.f32 #s(literal 1 binary32) (PI.f32))
✓	accuracy	99.0%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
✓	accuracy	98.8%	(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.6%	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.3%	(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
✓	accuracy	99.0%	(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(*.f32 (sqrt.f32 u1) u2)
✓	accuracy	98.9%	(.f32 (.f32 (sqrt.f32 u1) u2) (PI.f32))
✓	accuracy	99.1%	(/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))

Results

202.0ms

256×

valid

Compiler

Compiled 345 to 44 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 30.0ms (31.5% of total)

ival-pow: 12.0ms (12.6% of total)

ival-div: 8.0ms (8.4% of total)

ival-sin: 8.0ms (8.4% of total)

compiled-spec: 7.0ms (7.4% of total)

ival-pi: 5.0ms (5.3% of total)

ival-add: 5.0ms (5.3% of total)

...c/correct-round.rkt:119:19: 5.0ms (5.3% of total)

ival-sqrt: 5.0ms (5.3% of total)

ival-log: 4.0ms (4.2% of total)

ival-neg: 4.0ms (4.2% of total)

const: 1.0ms (1.1% of total)

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

series51.0ms (0.3%)

Counts

24 → 372

Calls

Call 1

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

Outputs
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 1/2 (* (/ 1 (* u2 (* (PI) (sqrt -1)))) (sqrt (/ 1 (log (- 1 u1))))))>
#<alt (/ (+ (* 1/3 (* (/ (* (pow u2 2) (PI)) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1)))))) (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1))))))) u2)>
#<alt (/ (+ (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* -1 (* (* (pow u2 2) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1))))) (sqrt (/ 1 (log (- 1 u1)))))) (* 1/3 (* (/ (PI) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1))))))))) u2)>
#<alt (/ (+ (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* 1/3 (* (/ (PI) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* -1 (* (sqrt (/ 1 (log (- 1 u1)))) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1)))))) (* -1 (* (* (pow u2 2) (+ (* -2/315 (/ (pow (PI) 5) (sqrt -1))) (+ (* 2/45 (/ (pow (PI) 5) (sqrt -1))) (* 2/3 (* (pow (PI) 2) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1))))))))) (sqrt (/ 1 (log (- 1 u1))))))))))) u2)>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 (log (- 1 u1)))) (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (* (sqrt (/ 1 u1)) (/ 1 (sin (* 2 (* u2 (PI))))))>
#<alt (/ (+ (* 1/4 (* (sqrt (pow u1 3)) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* (sqrt u1) (/ 1 (sin (* 2 (* u2 (PI))))))) u1)>
#<alt (/ (+ (* (sqrt u1) (/ 1 (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* 1/24 (* (sqrt u1) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))) u1)>
#<alt (/ (+ (* (sqrt u1) (/ 1 (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* u1 (+ (* 1/24 (* (sqrt (/ 1 u1)) (/ 1 (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt u1) (/ (- 1/24 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))))) u1)>
#<alt (* (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (* (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (+ (* 1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (* (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (+ (* 1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (log -1) (* -1 (log (/ 1 u1)))))) (* 1/2 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (* (/ 1 (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sin (* 2 (* u2 (PI))))))>
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#<alt u1>
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#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
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#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
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#<alt (* -1 (* u2 (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* -1 (* u2 (+ 1 (* -1 (+ 1 (PI))))))>
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#<alt (+ (* (sqrt u1) (* (sin (* 2 (- (* u2 (+ 1 (PI))) u2))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (- (* u2 (+ 1 (PI))) u2))))) (* -1/6 (* (sqrt u1) (sin (* 2 (- (* u2 (+ 1 (PI))) u2))))))))>
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#<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 (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>
#<alt (* u2 (+ 1 (PI)))>

Calls

93 calls:

Time	Variable		Point	Expression
19.0ms	u2	@	0	(+ (* (* -4/3 (* u2 u2)) (* (PI) (* (PI) (PI)))) (* 2 (PI)))
2.0ms	u2	@	-inf	(* 2 (* (* (sqrt u1) u2) (PI)))
1.0ms	u1	@	inf	(* u2 (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (* -4/3 (* u2 u2)) (* (PI) (* (PI) (PI)))) (* 2 (PI)))))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (* -4/3 (* u2 u2)) (* (PI) (* (PI) (PI)))) (* 2 (PI))))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* (+ 1 (PI)) u2) (neg u2)))))

rewrite268.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4406×	`-lowering-.f32`
4406×	`-lowering-.f64`
1752×	`sum4-define`
1344×	`+-lowering-+.f64`
1344×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	181
1	186	174
2	810	166
3	5170	166
0	8098	166

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 855

Calls

Call 1

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

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

simplify381.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6188×	`-lowering-.f32`
6188×	`-lowering-.f64`
4020×	`+-lowering-+.f64`
4020×	`+-lowering-+.f32`
1972×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	770	8191
1	2754	6918
2	7456	6888
0	8147	6888

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (+ (* -1 u2) (* u2 (+ 1 (PI)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (+ (* -1 u2) (* u2 (+ 1 (PI)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (+ (* -1 u2) (* u2 (+ 1 (PI)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (+ (* -1 u2) (* u2 (+ 1 (PI)))))) (sqrt -1)))
(* -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)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))
(* u2 (+ 1 (PI)))

Outputs
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(.f32 u2 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 4/15 binary32) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -8/315 binary32) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal 4/15 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) #s(literal -1 binary32))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (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 (sin.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) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.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)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (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 (sin.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) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.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 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.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 (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))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (.f32 (.f32 #s(literal -1 binary32) (sin.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.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 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1)) u1))
(* 1/2 (* (/ 1 (* u2 (* (PI) (sqrt -1)))) (sqrt (/ 1 (log (- 1 u1))))))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))))
(/ (+ (* 1/3 (* (/ (* (pow u2 2) (PI)) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1)))))) (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1))))))) u2)
(/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (PI.f32) (.f32 u2 u2))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))))) u2)
(/ (+ (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* -1 (* (* (pow u2 2) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1))))) (sqrt (/ 1 (log (- 1 u1)))))) (* 1/3 (* (/ (PI) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1))))))))) u2)
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(/ (+ (* 1/2 (* (/ 1 (* (PI) (sqrt -1))) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* 1/3 (* (/ (PI) (sqrt -1)) (sqrt (/ 1 (log (- 1 u1)))))) (* (pow u2 2) (+ (* -1 (* (sqrt (/ 1 (log (- 1 u1)))) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1)))))) (* -1 (* (* (pow u2 2) (+ (* -2/315 (/ (pow (PI) 5) (sqrt -1))) (+ (* 2/45 (/ (pow (PI) 5) (sqrt -1))) (* 2/3 (* (pow (PI) 2) (+ (* -2/9 (/ (pow (PI) 3) (sqrt -1))) (* 1/15 (/ (pow (PI) 3) (sqrt -1))))))))) (sqrt (/ 1 (log (- 1 u1))))))))))) u2)
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(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* -4/3 (pow u2 2))
(.f32 #s(literal -4/3 binary32) (.f32 u2 u2))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))
(* u2 (+ 1 (PI)))
(*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))

eval185.0ms (1.1%)

Compiler: Compiled 43399 to 5985 computations (86.2% saved)

prune616.0ms (3.6%)

Pruning

77 alts after pruning (69 fresh and 8 done)

	Pruned	Kept	Total
New	1896	32	1928
Fresh	18	37	55
Picked	3	2	5
Done	0	6	6
Total	1917	77	1994

Accuracy

100.0%

Counts

1994 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	77.3%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	98.3%	(/.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
	71.3%	(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
	91.8%	(/.f32 (.f32 #s(literal 2 binary32) (pow.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 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))
	72.1%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
	70.9%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
	71.3%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	67.1%	(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
	67.0%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
	67.0%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
	77.1%	(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
	77.3%	(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
	77.2%	(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
	77.3%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	98.3%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	82.6%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 2 binary32)))))
	97.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (-.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 u2 (+.f32 #s(literal 1 binary32) (PI.f32)))) u2)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
	91.8%	(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	87.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
	74.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
	67.2%	(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
	67.0%	(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
	67.1%	(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
	67.1%	(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
	98.5%	(.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	88.8%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	98.4%	(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
	77.4%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)))
	67.1%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
	67.1%	(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
	90.0%	(.f32 (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))) (*.f32 u2 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
	82.6%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	66.8%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
	67.0%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	67.2%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
	91.9%	(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))) (/.f32 #s(literal -1 binary32) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.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))))))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	91.8%	(.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 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
	84.2%	(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	78.2%	(.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 2 binary32) (.f32 u2 (PI.f32))))
✓	91.9%	(.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))))))) (sin.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (-.f32 (*.f32 u2 (+.f32 #s(literal 1 binary32) (PI.f32))) u2))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 u2 (-.f32 (*.f32 (PI.f32) u2) u2)))))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
	50.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	47.8%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	53.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.6%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	4.1%	(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	71.5%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
✓	77.5%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	76.0%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.7%	(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	84.1%	(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	81.2%	(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	88.5%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
✓	90.0%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	90.0%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))
	82.4%	(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
	71.4%	(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
	66.8%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓	67.1%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))

Compiler

Compiled 3817 to 1698 computations (55.5% saved)

regimes532.0ms (3.1%)

Counts

119 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))) (*.f32 u2 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) 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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))) (.f32 u1 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (sin.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 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.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 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))) (/.f32 #s(literal -1 binary32) u1))) (sin.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))))))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.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 2 binary32) (.f32 (PI.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 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 u2 (-.f32 (*.f32 (PI.f32) u2) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (-.f32 (*.f32 u2 (+.f32 #s(literal 1 binary32) (PI.f32))) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(/.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sin.f32 (-.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 u2 (+.f32 #s(literal 1 binary32) (PI.f32)))) u2)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))) (sin.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 #s(literal 1/3 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal 0 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (.f32 u2 u2) #s(literal -8/315 binary32))) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))) (cos.f32 (.f32 (PI.f32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (PI.f32) u2))))

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

Calls

10 calls:

225.0ms	cosTheta_i
35.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
35.0ms	u2
35.0ms	(-.f32 #s(literal 1 binary32) u1)
34.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`u1`
98.6%	1	`u2`
98.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.6%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes223.0ms (1.3%)

Counts

72 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))) (*.f32 u2 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) 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))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))) (.f32 u1 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (sin.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 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.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 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))) (/.f32 #s(literal -1 binary32) u1))) (sin.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))))))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.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 2 binary32) (.f32 (PI.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 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))

(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

46.0ms	(-.f32 #s(literal 1 binary32) u1)
26.0ms	cosTheta_i
21.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
21.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
21.0ms	u1

Results

Accuracy	Segments	Branch
93.8%	1	`cosTheta_i`
97.8%	2	`u1`
98.0%	2	`u2`
97.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
93.8%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes141.0ms (0.8%)

Counts

58 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.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) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))) (*.f32 u2 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))

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

Calls

7 calls:

28.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	u1
17.0ms	u2
17.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
97.5%	2	`u1`
97.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.7%	2	`u2`
97.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes64.0ms (0.4%)

Counts

51 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))

Outputs

(*.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)))))

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

Calls

2 calls:

44.0ms	u2
14.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
97.6%	2	`u2`
97.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes141.0ms (0.8%)

Counts

50 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))

Outputs

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

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

Calls

9 calls:

17.0ms	cosTheta_i
16.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	u2
16.0ms	u1
15.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
92.0%	1	`cosTheta_i`
92.0%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.9%	2	`u1`
95.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.0%	2	`u2`
96.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes115.0ms (0.7%)

Counts

48 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

(*.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))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

7 calls:

15.0ms	u2
14.0ms	(-.f32 #s(literal 1 binary32) u1)
14.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms	u1
13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
95.8%	2	`u1`
95.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.9%	2	`u2`
95.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes1.2s (7.2%)

Counts

47 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))
(.f32 (sqrt.f32 u1) (sin.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) u2)) (.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.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 2 binary32)))))

Outputs

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

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

Calls

9 calls:

482.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
337.0ms	(-.f32 #s(literal 1 binary32) u1)
326.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	cosTheta_i
13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
88.5%	1	`cosTheta_i`
92.7%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.7%	2	`u1`
94.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.8%	2	`u2`
94.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes341.0ms (2%)

Counts

43 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))

Outputs

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

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

Calls

8 calls:

126.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
120.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
33.0ms	u1
12.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms	u2

Results

Accuracy	Segments	Branch
89.9%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.0%	2	`u1`
91.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.7%	2	`u2`
91.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes33.0ms (0.2%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (PI.f32))))

Outputs

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

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

Calls

3 calls:

13.0ms	u2
9.0ms	cosTheta_i
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
85.7%	1	`cosTheta_i`
91.5%	2	`u2`
91.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes131.0ms (0.8%)

Counts

28 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32)))

Outputs

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

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

Calls

2 calls:

119.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	u2

Results

Accuracy	Segments	Branch
91.3%	2	`u2`
91.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes24.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

2 calls:

12.0ms	u2
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
91.3%	2	`u2`
91.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes30.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) u2))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))

Outputs

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

Calls

3 calls:

11.0ms	u1
8.0ms	cosTheta_i
8.0ms	u2

Results

Accuracy	Segments	Branch
85.7%	1	`cosTheta_i`
85.7%	1	`u1`
85.7%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 (PI.f32) u2))
(.f32 (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (/.f32 (PI.f32) (pow.f32 u1 #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) u2))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (PI.f32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #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))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) u2))
(.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 (neg.f32 u2) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 14/45 binary32))) (*.f32 (PI.f32) #s(literal 2/3 binary32))))) 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 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))

Calls

3 calls:

12.0ms	u2
11.0ms	u1
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
84.2%	1	`u2`
84.2%	1	`cosTheta_i`
84.2%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	u1
7.0ms	cosTheta_i
7.0ms	u2

Results

Accuracy	Segments	Branch
84.1%	1	`u1`
84.1%	1	`cosTheta_i`
84.1%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	cosTheta_i
7.0ms	u1
7.0ms	u2

Results

Accuracy	Segments	Branch
81.2%	1	`u1`
81.2%	1	`cosTheta_i`
81.2%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

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 2 binary32) (*.f32 u2 (PI.f32))))

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

Calls

3 calls:

7.0ms	u1
6.0ms	cosTheta_i
6.0ms	u2

Results

Accuracy	Segments	Branch
81.4%	2	`u2`
81.3%	2	`u1`
78.2%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes326.0ms (1.9%)

Counts

17 → 2

Calls

Call 1

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

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 2 binary32) (*.f32 u2 (PI.f32))))

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

Calls

1 calls:

325.0ms

u2

Results

Accuracy	Segments	Branch
81.3%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

Calls

3 calls:

5.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
78.2%	1	`cosTheta_i`
78.2%	1	`u1`
78.2%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
67.2%	1	`u1`
67.2%	1	`u2`
67.2%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	u2
1.0ms	cosTheta_i
1.0ms	u1

Results

Accuracy	Segments	Branch
67.1%	1	`u1`
67.1%	1	`u2`
67.1%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08108477294445038	0.08317180722951889

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08108477294445038	0.08317180722951889

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08108477294445038	0.08317180722951889

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000575869926251471	0.0006216482142917812

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000575869926251471	0.0006216482142917812

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006772587075829506	0.0006811096100136638

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006395818665623665	0.007445130497217178

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006395818665623665	0.007445130497217178

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4507811963558197	0.45237988233566284

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4507811963558197	0.45237988233566284

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	0.0006983685889281332	0.0007010520785115659

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	0.0003003301681019366	0.00044154352508485317

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

108×	`*-commutative_binary32`
24×	`+-commutative_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`
4×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	669
1	186	669
2	190	669
3	192	669

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.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))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11682311/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7516193/1073741824 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7516193/1073741824 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15166603/33554432 binary32)) (.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15166603/33554432 binary32)) (.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 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 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.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 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.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))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.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))))))))) (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5502927/67108864 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5502927/67108864 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5153961/8589934592 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.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)))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11682311/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11682311/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (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 7516193/1073741824 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 7516193/1073741824 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7516193/1073741824 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 7516193/1073741824 binary32)) (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15166603/33554432 binary32)) (.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 15166603/33554432 binary32)) (.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 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15166603/33554432 binary32)) (.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 15166603/33554432 binary32)) (.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 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sin.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
(.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 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.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 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 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 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 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 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (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 (sqrt.f32 u1) (.f32 u2 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (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 u2 (.f32 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 u1))))
(.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 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (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 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) u2) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))

soundness3.3s (19.1%)

Rules

6838×	`-lowering-.f32`
6838×	`-lowering-.f64`
6188×	`-lowering-.f32`
6188×	`-lowering-.f64`
5962×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	318	3588
1	1045	2966
2	3749	2730
0	8379	2730
0	840	6325
1	2987	5441
2	7366	5415
0	8004	5415
0	770	8191
1	2754	6918
2	7456	6888
0	8147	6888
0	22	68
1	70	68
2	225	68
3	1341	68
4	7322	68
0	8118	68
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	43	181
1	186	174
2	810	166
3	5170	166
0	8098	166
0	41	177
1	134	146
2	421	143
3	1842	143
0	8163	143
0	49	221
1	187	207
2	856	196
3	5263	196
0	8330	196
0	996	8455
1	3573	7293
0	8299	7293

Stop Event

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

Compiler

Compiled 1839 to 1059 computations (42.4% saved)

preprocess156.0ms (0.9%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1916 to 726 computations (62.1% saved)

analyze495.0ms (2.9%)

sample2.3s (13.7%)

preprocess106.0ms (0.6%)

explain165.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize171.0ms (1%)

series76.0ms (0.4%)

rewrite234.0ms (1.4%)

simplify333.0ms (1.9%)

eval36.0ms (0.2%)

prune61.0ms (0.4%)

simplify144.0ms (0.8%)

localize308.0ms (1.8%)

series66.0ms (0.4%)

rewrite280.0ms (1.6%)

simplify449.0ms (2.6%)

eval149.0ms (0.9%)

prune384.0ms (2.2%)

simplify183.0ms (1.1%)

localize489.0ms (2.9%)

series50.0ms (0.3%)

rewrite385.0ms (2.2%)

simplify445.0ms (2.6%)

eval252.0ms (1.5%)

prune610.0ms (3.6%)

simplify156.0ms (0.9%)

localize294.0ms (1.7%)

series51.0ms (0.3%)

rewrite268.0ms (1.6%)

simplify381.0ms (2.2%)

eval185.0ms (1.1%)

prune616.0ms (3.6%)

regimes532.0ms (3.1%)

regimes223.0ms (1.3%)

regimes141.0ms (0.8%)

regimes64.0ms (0.4%)

regimes141.0ms (0.8%)

regimes115.0ms (0.7%)

regimes1.2s (7.2%)

regimes341.0ms (2%)

regimes33.0ms (0.2%)

regimes131.0ms (0.8%)

regimes24.0ms (0.1%)

regimes30.0ms (0.2%)

regimes33.0ms (0.2%)

regimes27.0ms (0.2%)

regimes26.0ms (0.2%)

regimes21.0ms (0.1%)

regimes326.0ms (1.9%)

regimes17.0ms (0.1%)

regimes21.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

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%)

simplify22.0ms (0.1%)

soundness3.3s (19.1%)

preprocess156.0ms (0.9%)

end0.0ms (0%)

Profiling