Metrics for Beckmann Sample, near normal, slope

analyze467.0ms (3%)

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: 335.0ms

...c/correct-round.rkt:119:19: 124.0ms (37.1% of total)

ival-<=: 47.0ms (14% of total)

ival-mult: 39.0ms (11.7% of total)

ival-log: 32.0ms (9.6% of total)

ival-sin: 24.0ms (7.2% of total)

ival-sqrt: 15.0ms (4.5% of total)

ival-sub: 13.0ms (3.9% of total)

ival-pi: 10.0ms (3% of total)

ival->: 10.0ms (3% of total)

ival-and: 9.0ms (2.7% of total)

ival-neg: 9.0ms (2.7% of total)

const: 2.0ms (0.6% of total)

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

sample2.1s (13.7%)

Results

1.7s	8256×	0	valid
0.0ms	2×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.3s

...c/correct-round.rkt:119:19: 340.0ms (25.8% of total)

ival-mult: 214.0ms (16.2% of total)

ival-<=: 170.0ms (12.9% of total)

ival-log: 161.0ms (12.2% of total)

ival-sin: 125.0ms (9.5% of total)

ival-sqrt: 69.0ms (5.2% of total)

ival-sub: 64.0ms (4.9% of total)

ival->: 44.0ms (3.3% of total)

ival-neg: 43.0ms (3.3% of total)

ival-and: 39.0ms (3% of total)

ival-pi: 36.0ms (2.7% of total)

const: 8.0ms (0.6% of total)

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

Bogosity

preprocess95.0ms (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)

explain197.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
203	8	(0.9999362230300903 0.009467532858252525 0.03734017536044121)	3	(0.9999521374702454 0.011127157136797905 0.00041736982529982924)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999315738677979 0.00020585402671713382 0.9905127882957458)	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(.f32 (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	-	`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

96.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

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

ival-mult: 11.0ms (25.2% of total)

ival-log: 10.0ms (22.9% of total)

ival-sin: 7.0ms (16% of total)

ival-pi: 6.0ms (13.7% of total)

ival-sqrt: 4.0ms (9.2% of total)

ival-sub: 3.0ms (6.9% of total)

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

const: 1.0ms (2.3% 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
▶	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Status

Accuracy

Program

▶

98.3%

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

▶

59.1%

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify10.0ms (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	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	32	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (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

localize94.0ms (0.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	56.8%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

67.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 12.0ms (24.9% of total)

ival-log: 9.0ms (18.6% of total)

ival-sin: 7.0ms (14.5% of total)

compiled-spec: 6.0ms (12.4% of total)

ival-sqrt: 4.0ms (8.3% of total)

ival-pi: 3.0ms (6.2% of total)

ival-neg: 3.0ms (6.2% of total)

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

ival-add: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series48.0ms (0.3%)

Counts

12 → 168

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (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 (* (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 (* (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
30.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(* (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)))

rewrite382.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2140×	`fma-lowering-fma.f32`
2140×	`fma-lowering-fma.f64`
1632×	`-lowering-.f32`
1632×	`-lowering-.f64`
1486×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	93	68
2	511	60
3	4257	60
0	8109	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 309

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

simplify369.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5968×	`-lowering-.f32`
5968×	`-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	3746	2730
0	8380	2730

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

eval57.0ms (0.4%)

Compiler: Compiled 10355 to 1292 computations (87.5% saved)

prune116.0ms (0.8%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	453	24	477
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	454	25	479

Accuracy

99.5%

Counts

479 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.0%	(.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)))
	92.3%	(.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) (PI.f32)) u2)))
	88.7%	(.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)))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (+.f32 (.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.8%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 (.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.2%	(.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))))
	92.0%	(.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 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (*.f32 u2 u2) #s(literal 4/15 binary32))))))))
	88.8%	(.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)))))))
	80.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	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 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	97.4%	(.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)))))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 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 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (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))))))
▶	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	51.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
▶	76.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1359 to 905 computations (33.4% saved)

simplify160.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(log1p.f32 (neg.f32 u1))
✓	cost-diff	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	cost-diff	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))
✓	cost-diff	(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
✓	cost-diff	(sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
✓	cost-diff	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	(+.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)))))))
✓	cost-diff	(.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))))))))
✓	cost-diff	(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)))))))))
✓	cost-diff	(.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)))
✓	cost-diff	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	cost-diff	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	(sqrt.f32 u1)
✓	cost-diff	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	(log1p.f32 (neg.f32 u1))
✓	cost-diff	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	(.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

2718×	`sum3-define`
2212×	`fma-lowering-fma.f32`
2212×	`fma-lowering-fma.f64`
2168×	`fma-define`
1708×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	485
1	145	432
2	343	429
3	800	429
4	1479	429
5	2052	429
6	2539	429
7	5367	429
8	6928	429
0	8003	429

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 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1)))))))
(+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))
(log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))
(/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))
(+ 1 u1)
1
u1
(+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))
(* (* u1 u1) (* u1 (* u1 (* u1 u1))))
(* u1 u1)
(* u1 (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1)))))
(* (* u1 u1) (+ 1 (* u1 u1)))
(+ 1 (* u1 u1))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))))
(* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))
2
(* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
(* u2 (pow (PI) 1/2))
u2
(pow (PI) 1/2)
(PI)
1/2
(pow (PI) 1/3)
1/3
(pow (PI) 1/6)
1/6

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

localize429.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	accuracy	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	accuracy	98.8%	(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	98.4%	(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	53.9%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))))
✓	accuracy	99.1%	(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓	accuracy	99.0%	(.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)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.4%	(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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.6%	(.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))
✓	accuracy	99.6%	(sin.f32 (*.f32 (PI.f32) u2))
✓	accuracy	99.1%	(.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	98.9%	(*.f32 (PI.f32) u2)

Results

221.0ms	216×	0	valid
99.0ms	40×	1	valid

Compiler

Compiled 546 to 58 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 53.0ms (20.5% of total)

compiled-spec: 50.0ms (19.3% of total)

ival-pow: 43.0ms (16.6% of total)

ival-log: 35.0ms (13.5% of total)

ival-add: 31.0ms (12% of total)

ival-sin: 13.0ms (5% of total)

...c/correct-round.rkt:119:19: 9.0ms (3.5% of total)

ival-sqrt: 8.0ms (3.1% of total)

backward-pass: 5.0ms (1.9% of total)

ival-cos: 3.0ms (1.2% of total)

ival-neg: 3.0ms (1.2% of total)

ival-div: 2.0ms (0.8% of total)

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

const: 1.0ms (0.4% of total)

series188.0ms (1.2%)

Counts

26 → 360

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

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)))))))))>
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#<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 (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)))>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>

Calls

90 calls:

Time	Variable		Point	Expression
41.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
35.0ms	u2	@	inf	(* (sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))) (sin (* (* 2 (PI)) u2)))
25.0ms	u2	@	0	(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
23.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
14.0ms	u1	@	-inf	(* (sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))) (sin (* (* 2 (PI)) u2)))

rewrite340.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2668×	`-lowering-.f32`
2668×	`-lowering-.f64`
1990×	`fma-lowering-fma.f32`
1990×	`fma-lowering-fma.f64`
1588×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	271
1	295	213
2	2348	181
0	8435	181

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 375

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 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(* (sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1)))))))
(+ (log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* (* u1 u1) (+ 1 (* u1 u1))))))
(log (/ (+ 1 u1) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
(* (PI) u2)
(sin (* (PI) u2))
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(PI)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/3 (* u1 1/4))
(* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))
(* u2 (pow (PI) 1/2))
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))

Outputs
(.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.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)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.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 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(+.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) u1))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(.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))) (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 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (.f32 #s(literal 2 binary32) (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 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) #s(literal 2 binary32))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 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 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32)))
(pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (sqrt.f32 (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))))
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(fma.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) u1 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))
(fma.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) u1 (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/8 binary32)) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/2 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))))
(/.f32 (-.f32 (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)))) (-.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)))))) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))))
(/.f32 (.f32 u1 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 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 1/8 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))
(.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) u1)
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(-.f32 (/.f32 #s(literal 1/9 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (+.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/12 binary32) u1))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) #s(literal 1/9 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1/9 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1)) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1)) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/4 binary32) u1))))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/6 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 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) u2)
(.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 1/6 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify478.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6128×	`-lowering-.f32`
6128×	`-lowering-.f64`
5250×	`+-lowering-+.f64`
5250×	`+-lowering-+.f32`
1434×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	7108
1	3262	6045
0	8058	6045

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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)))
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u1
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(+ (log -1) (+ (* -4 (log (/ -1 u1))) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* 5 (log (/ -1 u1))))))
u1
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(* (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))))
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(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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1/3
(+ 1/3 (* 1/4 u1))
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(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)

Outputs
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(.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))))))
(* 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)))
(* 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 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* 1/4 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1))) (neg.f32 (.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1))) (neg.f32 (.f32 u1 (*.f32 u1 u1))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) 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 (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)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(*.f32 u2 (pow.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/6 binary32)))

eval574.0ms (3.7%)

Compiler: Compiled 38742 to 4439 computations (88.5% saved)

prune289.0ms (1.9%)

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	1269	42	1311
Fresh	12	7	19
Picked	2	3	5
Done	0	1	1
Total	1283	53	1336

Accuracy

99.8%

Counts

1336 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.1%	(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
▶	94.0%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (sqrt.f32 (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.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)))
	93.9%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
	21.8%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.2%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	18.7%	(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	14.7%	(.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	65.9%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
	51.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) #s(literal 2 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1)))))))) #s(literal 2 binary32))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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)))
	94.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.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 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.3%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)))) (log.f32 (neg.f32 (+.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 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 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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)))))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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))))))))
	77.2%	(.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))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	92.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	94.0%	(.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)))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2))))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
▶	88.7%	(.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)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.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)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	93.6%	(.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))))
	97.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (.f32 (PI.f32) u2))))
	88.8%	(.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)))))))
	80.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
▶	98.1%	(.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 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
	98.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	51.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	70.5%	(.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)))))
	76.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	76.1%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.5%	(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
	85.3%	(.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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))

Compiler

Compiled 3279 to 2077 computations (36.7% saved)

simplify280.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(log1p.f32 (neg.f32 u1))
✓	cost-diff	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
✓	cost-diff	(.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))))))))
✓	cost-diff	(.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 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)))))))))
✓	cost-diff	(pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))
✓	cost-diff	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
✓	cost-diff	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
✓	cost-diff	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
✓	cost-diff	(.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)))
✓	cost-diff	(*.f32 u2 (PI.f32))
✓	cost-diff	(sqrt.f32 u1)
✓	cost-diff	(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
✓	cost-diff	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓	cost-diff	(log1p.f32 (neg.f32 u1))
✓	cost-diff	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	(.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 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))

Rules

3834×	`-lowering-.f32`
3834×	`-lowering-.f64`
2600×	`+-lowering-+.f64`
2600×	`+-lowering-+.f32`
1542×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	429
1	156	399
2	460	392
3	1631	392
4	6238	388
5	6459	388
6	6626	388
7	7481	388
0	8046	388

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))))
(* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6))))
2
(* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))
(pow (PI) 1/6)
(PI)
1/6
(* u2 (pow (PI) 5/6))
u2
(pow (PI) 5/6)
5/6
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (PI))
u2
(PI)
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 1/2))))
(* u1 (+ 1 (* u1 1/2)))
u1
(+ 1 (* u1 1/2))
1
(* u1 1/2)
1/2
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))) (cos (* (PI) u2)))
(* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))))))
2
(* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))
u2
(+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))))
(PI)
(* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))
(* -1/6 (* u2 u2))
-1/6
(* u2 u2)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(cos (* (PI) u2))
(* (PI) u2)

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

localize340.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.7%	(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓	accuracy	99.0%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.7%	(.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 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)))))))))
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.2%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
✓	accuracy	99.0%	(.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)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	98.9%	(*.f32 u2 (PI.f32))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))))
✓	accuracy	99.1%	(.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 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
✓	accuracy	98.4%	(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))

Results

231.0ms

256×

valid

Compiler

Compiled 501 to 58 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 53.0ms (31.3% of total)

...c/correct-round.rkt:119:19: 30.0ms (17.7% of total)

ival-add: 20.0ms (11.8% of total)

ival-pow: 20.0ms (11.8% of total)

compiled-spec: 19.0ms (11.2% of total)

ival-sin: 8.0ms (4.7% of total)

ival-sqrt: 6.0ms (3.5% of total)

ival-log: 5.0ms (3% of total)

ival-cos: 3.0ms (1.8% of total)

ival-neg: 3.0ms (1.8% of total)

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

const: 1.0ms (0.6% of total)

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

series119.0ms (0.8%)

Counts

26 → 348

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6))))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (* 2 (sqrt u1)) (* u2 (PI)))>
#<alt (* 2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (* u2 (PI))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ 1 (* u1 1/2))))>
#<alt (* u1 (+ 1 (* u1 1/2)))>
#<alt (+ 1 (* u1 1/2))>
#<alt (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))>
#<alt (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)>
#<alt (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))) (cos (* (PI) u2))))>
#<alt (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))>
#<alt (sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))))>
#<alt (PI)>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* (PI) (PI))>
#<alt (* -1/6 (* u2 u2))>
#<alt (* (PI) u2)>

Outputs
#<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))))))))>
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#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 5)))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* (pow u1 2) (sqrt -1/4))>
#<alt (* (pow u1 2) (- (sqrt -1/4) (* 1/6 (/ 1 (* u1 (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* 1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4)))) (* 1/6 (/ 1 (sqrt -1/4)))) u1))))>
#<alt (* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (sqrt -1/4))) (* -1/2 (/ (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ 1 (sqrt -1/4)))) u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))>
#<alt (* 1/16 (pow u1 8))>
#<alt (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 5/6 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 8))>
#<alt (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 5/6 (/ 1 u1))) u1)) 1/6) 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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))>
#<alt (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* -1/3 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* u1 (+ (* -1 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))))>
#<alt (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* 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))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))) (- 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)) (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (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) (+ (* 1/24 (* (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))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (* -1/720 (* (pow (PI) 7) (sqrt -1))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 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 (* 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 (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 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))>

Calls

87 calls:

Time	Variable		Point	Expression
30.0ms	u1	@	0	(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
11.0ms	u2	@	0	(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
5.0ms	u2	@	inf	(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))) (cos (* (PI) u2))))

rewrite416.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5146×	`-lowering-.f32`
5146×	`-lowering-.f64`
2768×	`/-lowering-/.f32`
2768×	`/-lowering-/.f64`
1856×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	234
1	276	213
2	2101	186
0	8392	186

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 478

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
(sqrt u1)
(* u2 (PI))
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 1/2))))
(* u1 (+ 1 (* u1 1/2)))
(+ 1 (* u1 1/2))
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (* u2 (+ (PI) (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI))))))) (cos (* (PI) u2))))
(* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))
(sin (* 2 (* (pow (PI) 1/6) (* u2 (pow (PI) 5/6)))))
(PI)
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* (PI) (PI))
(* -1/6 (* u2 u2))
(* (PI) u2)

Outputs
(.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 2 binary32) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.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 (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 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #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))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u1)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1)) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 (*.f32 u1 u1)))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (neg.f32 u1)) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 (*.f32 u1 u1)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))) (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (log.f32 (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) u1))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (PI.f32) u2)))
(.f32 (PI.f32) (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.f32 u2 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 (PI.f32) u2))
(.f32 (.f32 (PI.f32) u2) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (PI.f32))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 1/4 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 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 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 (.f32 u1 (neg.f32 u1)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(*.f32 u2 (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/12 binary32))) (pow.f32 (PI.f32) #s(literal 5/12 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) #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))) (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))
(pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (sqrt.f32 (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))))
(/.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1)))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1)))) u1)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
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(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
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(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/4 binary32)) (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/4 binary32)))
(+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)
(fma.f32 #s(literal 1 binary32) u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(fma.f32 u1 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(fma.f32 #s(literal 1/2 binary32) (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) u1 u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)
(/.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))) (-.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1)))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) u1) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))
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(/.f32 (neg.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (neg.f32 (-.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))))
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(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1)))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) u1)
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(fma.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
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(.f32 (pow.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
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(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/4 binary32)) (pow.f32 (.f32 (+.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 u1 u1)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/4 binary32)))
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(.f32 #s(literal 1 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(*.f32 u2 (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/12 binary32))) (pow.f32 (PI.f32) #s(literal 5/12 binary32)))

simplify349.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

6012×	`-lowering-.f32`
6012×	`-lowering-.f64`
4592×	`+-lowering-+.f64`
4592×	`+-lowering-+.f32`
1608×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	865	6420
1	3067	5615
2	7566	5614
0	8094	5614

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* (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 (* (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))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* 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))))
(* 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))))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(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)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))
(* u1 (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))
(* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))
(* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))
(* -1 (* u1 (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/2)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/2) 3))) (* -1/16 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI)))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 5)))))))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))
(* u1 (sqrt 1/2))
(* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))
(* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))
(* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))
(* -1 (* u1 (* (sqrt -1) (sqrt -1/2))))
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (sqrt -1/2)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (pow (sqrt -1/2) 3))) (* -1/16 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (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)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt -1/4)))
(* (pow u1 2) (+ (* -1/6 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sin (* 2 (* u2 (PI)))) (sqrt -1/4))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sin (* 2 (* u2 (PI)))) (sqrt -1/4)))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt -1/4))))
(* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI)))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 5)))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* (pow u1 2) (sqrt -1/4))
(* (pow u1 2) (- (sqrt -1/4) (* 1/6 (/ 1 (* u1 (sqrt -1/4))))))
(* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* 1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4)))) (* 1/6 (/ 1 (sqrt -1/4)))) u1))))
(* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (sqrt -1/4))) (* -1/2 (/ (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ 1 (sqrt -1/4)))) u1))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 5/6 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 5/6 (/ 1 u1))) u1)) 1/6) 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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))))
(+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* -1/3 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))
(+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* u1 (+ (* -1 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))))
(* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* u2 (* (cos (* 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))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))) (- 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)) (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (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) (+ (* 1/24 (* (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))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (* -1/720 (* (pow (PI) 7) (sqrt -1))))) (sqrt (log (- 1 u1)))))))))))
(* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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))))
(* 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))))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 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))

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

eval628.0ms (4.1%)

Compiler: Compiled 51574 to 5817 computations (88.7% saved)

prune257.0ms (1.7%)

Pruning

70 alts after pruning (63 fresh and 7 done)

	Pruned	Kept	Total
New	1478	31	1509
Fresh	12	32	44
Picked	2	3	5
Done	0	4	4
Total	1492	70	1562

Accuracy

99.9%

Counts

1562 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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)))))
	77.1%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	89.6%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (pow.f32 (.f32 (.f32 u1 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) u1)) (.f32 u1 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) u1))) #s(literal 1/8 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	76.4%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.7%	(.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))))
	88.6%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.6%	(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (sqrt.f32 (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (+.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 u1 u1)) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	65.9%	(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
	21.8%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.2%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	18.7%	(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	14.7%	(.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.0%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
	88.7%	(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	65.9%	(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (.f32 u2 (PI.f32)))
	65.7%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
	65.9%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	65.9%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
▶	94.1%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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)))
	94.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.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 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.3%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)))) (log.f32 (neg.f32 (+.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 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 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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)))))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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))))))))
	77.2%	(.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))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	92.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	94.0%	(.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)))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2))))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	80.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 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)))))
	73.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	87.4%	(.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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	88.7%	(.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)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.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)))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.6%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
	91.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
✓	91.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	93.6%	(.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))))
	88.8%	(.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)))))))
▶	80.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	51.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
	72.1%	(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	70.5%	(.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)))))
	76.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	76.1%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
	80.9%	(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
▶	66.0%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))

Compiler

Compiled 3987 to 2607 computations (34.6% saved)

simplify184.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
✓	cost-diff	0	(.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓	cost-diff	0	(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
✓	cost-diff	0	(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	cost-diff	64	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)))
✓	cost-diff	64	(.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))
✓	cost-diff	64	(sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))))
✓	cost-diff	64	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 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 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	cost-diff	-32	(*.f32 (sqrt.f32 u1) u2)
✓	cost-diff	-32	(.f32 (.f32 (sqrt.f32 u1) u2) (PI.f32))
✓	cost-diff	-32	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1)
✓	cost-diff	0	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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))))))))
✓	cost-diff	0	(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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)))))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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)))

Rules

3468×	`-lowering-.f32`
3468×	`-lowering-.f64`
2214×	`+-lowering-+.f64`
2214×	`+-lowering-+.f32`
2006×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	12884902367
1	144	12884902274
2	408	12884902260
3	1520	12884902253
4	7515	12884902253
0	8125	394

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize264.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	accuracy	98.4%	(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal 2/3 binary32))
✓	accuracy	99.1%	(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	accuracy	98.9%	(*.f32 u2 (PI.f32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(*.f32 (sqrt.f32 u1) u2)
✓	accuracy	98.9%	(.f32 (.f32 (sqrt.f32 u1) u2) (PI.f32))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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)))
✓	accuracy	99.0%	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))
✓	accuracy	98.9%	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

166.0ms

256×

valid

Compiler

Compiled 537 to 53 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 39.0ms (37.2% of total)

ival-pow: 19.0ms (18.1% of total)

ival-add: 8.0ms (7.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (7.6% of total)

ival-sqrt: 7.0ms (6.7% of total)

compiled-spec: 7.0ms (6.7% of total)

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

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

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

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

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

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

const: 1.0ms (1% of total)

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

series103.0ms (0.7%)

Counts

28 → 420

Calls

Call 1

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

Outputs
#<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)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 5)))))))))>
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#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* 2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 5)))))))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (sin (* 2 (* u2 (PI)))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4)))>
#<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) (* 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 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))>
#<alt (* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))>
#<alt (* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))>
#<alt (* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))>
#<alt (* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* 2 (* (sqrt u1) u2))>
#<alt (* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/4 u1)))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/4 u1)))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>

Calls

105 calls:

Time	Variable		Point	Expression
65.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* u2 (PI))))
6.0ms	u2	@	0	(* (sqrt (/ (* (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) u1) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	(* (* u2 (* 2 (pow u1 1/2))) (pow (PI) 2/3))
2.0ms	u1	@	inf	(* (+ 1/3 (* u1 1/4)) (* u1 u1))
2.0ms	u1	@	0	(* (* u2 (* 2 (pow u1 1/2))) (pow (PI) 2/3))

rewrite343.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3396×	`-lowering-.f32`
3396×	`-lowering-.f64`
2018×	`fma-lowering-fma.f32`
2018×	`fma-lowering-fma.f64`
1682×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	431
1	277	235
2	2187	228
0	8421	228

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 651

Calls

Call 1

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

Outputs
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 (pow.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/2 binary32)) (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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
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(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal -1 binary32)))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))
(+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))))
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(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) u1 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
(fma.f32 u1 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
(fma.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (*.f32 u1 u1))))
(fma.f32 u1 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(fma.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(fma.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 u1 u1) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(fma.f32 (.f32 u1 u1) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(fma.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)) u1 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (*.f32 u1 u1))))
(fma.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)) u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.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))))))))))
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(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (.f32 (.f32 u1 u1) #s(literal 1/3 binary32)) (.f32 (.f32 u1 u1) (*.f32 u1 #s(literal 1/4 binary32))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (*.f32 u1 u1) #s(literal 1/3 binary32)))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 u1)))
(+.f32 (.f32 (.f32 u1 #s(literal 1/4 binary32)) (.f32 u1 u1)) (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))
(+.f32 (.f32 (.f32 u1 #s(literal 1/3 binary32)) u1) (.f32 (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)) u1))
(fma.f32 u1 (.f32 u1 #s(literal 1/3 binary32)) (.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))
(fma.f32 #s(literal 1/3 binary32) (.f32 u1 u1) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (.f32 u1 u1)))
(fma.f32 (.f32 u1 #s(literal 1/4 binary32)) (.f32 u1 u1) (.f32 #s(literal 1/3 binary32) (.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) #s(literal 1/3 binary32) (.f32 (.f32 u1 u1) (.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 (.f32 u1 u1) (.f32 u1 #s(literal 1/4 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/3 binary32)))
(fma.f32 (.f32 u1 #s(literal 1/3 binary32)) u1 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1))
(/.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (.f32 u1 u1)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (.f32 u1 u1)) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))
(.f32 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) u1)
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (+.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/12 binary32) u1))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32)))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) #s(literal 1/9 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
(exp.f32 (*.f32 #s(literal 2/3 binary32) (log.f32 (PI.f32))))
(exp.f32 (.f32 (.f32 #s(literal 2/3 binary32) (log.f32 (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32)))
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/9 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) (log.f32 (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (PI.f32) #s(literal 4/9 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))

simplify341.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6966×	`-lowering-.f32`
6966×	`-lowering-.f64`
2852×	`+-lowering-+.f64`
2852×	`+-lowering-+.f32`
1410×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	613	6244
1	2105	5302
2	7665	5283
0	8405	5283

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (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)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI)))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 5)))))))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
(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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
u1
(* u1 (+ 1 (* -1/4 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
(* u1 (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))))
(* -1/16 (pow u1 7))
(* -1 (* (pow u1 7) (+ 1/16 (* 1/6 (/ 1 u1)))))
(* (pow u1 7) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u1))) u1)) 1/16))
(* (pow u1 7) (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) (pow u1 2))) (+ 1/16 (* 1/6 (/ 1 u1)))))
(* -1/16 (pow u1 7))
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1
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(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 u1)))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 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)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))

Outputs
(* (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 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* (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)))))))))
(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32))))))))
(* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1) (+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1)) #s(literal 7/18 binary32)))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1)) #s(literal 7/18 binary32))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 u1))) #s(literal 20/27 binary32)) (/.f32 (.f32 #s(literal 1/3 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1))))
(* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (.f32 (sqrt.f32 #s(literal -1/4 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* (pow u1 2) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 #s(literal -1/4 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 #s(literal -1/4 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 (.f32 #s(literal 7/36 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) u1)))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 #s(literal -1/4 binary32)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal -1/4 binary32))) (/.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)) (+.f32 (/.f32 #s(literal 7/18 binary32) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))))))) u1)) u1)))
(* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* u2 (PI))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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)))))))))))
(* u2 (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI)))))
(.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 2 binary32))) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)))))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 5))))))))
(.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32))) (.f32 (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 5 binary32)))) #s(literal 4/15 binary32)))))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 5)))))))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (sin (* 2 (* u2 (PI)))))
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(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
(+ (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 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
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(* 1/2 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
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(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
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(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
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(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(.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 (* 1/4 u1)))))))
(.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))))))))
(* 1/4 (pow u1 4))
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(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
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(* 1/4 (pow u1 4))
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(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
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(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
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u1
(* u1 (+ 1 (* -1/4 (pow u1 2))))
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(* u1 (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
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(* u1 (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))))
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(* -1/16 (pow u1 7))
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(* -1 (* (pow u1 7) (+ 1/16 (* 1/6 (/ 1 u1)))))
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(* (pow u1 7) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u1))) u1)) 1/16))
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(* -1/16 (pow u1 7))
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(* -1 (* (pow u1 7) (+ 1/16 (* 1/6 (/ 1 u1)))))
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(* -1 (* (pow u1 7) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1))))))
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(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
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(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) (* u2 (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* -2 (* (sqrt u1) (* (* u2 (pow (sqrt -1) 2)) (cbrt (pow (PI) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (* (sqrt u1) u2))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) u2))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 1/4 (pow u1 2))
(.f32 #s(literal 1/4 binary32) (.f32 u1 u1))
(* (pow u1 2) (+ 1/4 (* 1/3 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 (+.f32 #s(literal 13/36 binary32) (*.f32 u1 #s(literal 1/6 binary32))))))))
(* 1/16 (pow u1 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1))) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(* 1/16 (pow u1 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (+.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1))) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(*.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 13/36 binary32)) u1))) u1)) (pow.f32 u1 #s(literal 6 binary32)))
(* 1/2 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 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)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* 1/3 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 3))
(.f32 #s(literal 1/4 binary32) (.f32 u1 (*.f32 u1 u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 (pow u1 3))
(.f32 #s(literal 1/4 binary32) (.f32 u1 (*.f32 u1 u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))

eval144.0ms (0.9%)

Compiler: Compiled 47129 to 4201 computations (91.1% saved)

prune245.0ms (1.6%)

Pruning

79 alts after pruning (69 fresh and 10 done)

	Pruned	Kept	Total
New	1367	25	1392
Fresh	14	44	58
Picked	2	3	5
Done	0	7	7
Total	1383	79	1462

Accuracy

99.9%

Counts

1462 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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)))))
	77.1%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	89.6%	(.f32 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	76.4%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.7%	(.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))))
	88.6%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.9%	(.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) (PI.f32))) u2)
	49.9%	(.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) u2)) (PI.f32))
	21.8%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.2%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	18.7%	(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.0%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
	4.6%	(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	88.7%	(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	65.9%	(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (.f32 u2 (PI.f32)))
	77.2%	(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
	65.7%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓	65.9%	(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
	94.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)))) 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)))
	94.1%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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)))
	94.0%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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)))
	58.3%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)))) (log.f32 (neg.f32 (+.f32 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (log1p.f32 (.f32 (.f32 u1 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 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) 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 (+.f32 (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (.f32 u1 u1)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
✓	94.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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)))))
	92.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	94.0%	(.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)))
	92.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2))))
	76.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	92.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	80.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 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)))))
	73.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	87.4%	(.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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	88.7%	(.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)))
	88.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	91.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
✓	91.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	93.6%	(.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))))
	88.8%	(.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)))))))
	79.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))))
	80.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))))
✓	80.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	51.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
	49.9%	(.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))))
	72.1%	(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
	70.5%	(.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)))))
	76.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	76.1%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	76.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.f32 u2 (+.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))))))))) (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -4/3 binary32)))))
	80.9%	(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
	66.0%	(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
	65.8%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
	65.9%	(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	66.0%	(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
	4.6%	(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
	77.1%	(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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)))))))))))

Compiler

Compiled 5476 to 2136 computations (61% saved)

regimes596.0ms (3.9%)

Counts

124 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (+.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 u1 u1)) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (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)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) #s(literal 2 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 u1)))))))) #s(literal 2 binary32))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 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 (.f32 (*.f32 u2 (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 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 (.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (+.f32 (.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (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:

273.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
38.0ms	u1
37.0ms	(-.f32 #s(literal 1 binary32) u1)
35.0ms	u2
33.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`u1`
98.3%	1	`u2`
98.3%	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)))`
98.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.3%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes202.0ms (1.3%)

Counts

77 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 u1))) #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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))))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)))) 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 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) 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 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
(.f32 u2 (+.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))))))))) (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -4/3 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.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 u1 (/.f32 (+.f32 (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (.f32 u1 u1)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (-.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 (pow.f32 (.f32 (.f32 u1 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) u1)) (.f32 u1 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) u1))) #s(literal 1/8 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.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 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))

Outputs

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

23.0ms	(-.f32 #s(literal 1 binary32) u1)
22.0ms	u1
22.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
22.0ms	u2
21.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

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

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes213.0ms (1.4%)

Counts

68 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 u1))) #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.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))))))))

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

Calls

9 calls:

29.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
27.0ms	u2
26.0ms	u1
23.0ms	cosTheta_i
23.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

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)))`
94.1%	1	`cosTheta_i`
97.7%	2	`u2`
94.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes64.0ms (0.4%)

Counts

66 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 binary32))))))) 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

2 calls:

35.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms	u2

Results

Accuracy	Segments	Branch
97.7%	2	`u2`
97.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes44.0ms (0.3%)

Counts

64 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal -1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) 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)))

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

Calls

2 calls:

19.0ms	u2
18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
97.7%	2	`u2`
97.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes32.0ms (0.2%)

Counts

46 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (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)))

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

2 calls:

14.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	u2

Results

Accuracy	Segments	Branch
97.7%	2	`u2`
97.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes123.0ms (0.8%)

Counts

45 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (PI.f32)) u2)))
(.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 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))

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

Calls

7 calls:

19.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
15.0ms	u2
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	u1

Results

Accuracy	Segments	Branch
96.8%	2	`u1`
96.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.3%	2	`u2`
97.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes125.0ms (0.8%)

Counts

42 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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) (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

9 calls:

16.0ms	cosTheta_i
16.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
14.0ms	(-.f32 #s(literal 1 binary32) u1)
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
11.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
95.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.6%	2	`u1`
95.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.3%	1	`cosTheta_i`
92.3%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
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)

regimes164.0ms (1.1%)

Counts

41 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 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) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

65.0ms	u2
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
13.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
88.8%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
88.8%	1	`cosTheta_i`
93.7%	2	`u1`
93.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.5%	2	`u2`
94.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes28.0ms (0.2%)

Counts

38 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 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 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.5%	2	`u2`
94.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes27.0ms (0.2%)

Counts

36 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.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 #s(literal 1/2 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 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.4%	2	`u2`
94.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes95.0ms (0.6%)

Counts

35 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 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 (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) u2)) (PI.f32))
(.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) (PI.f32))) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))))

Outputs

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

Calls

9 calls:

12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	cosTheta_i
11.0ms	u2
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
88.6%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
85.1%	1	`cosTheta_i`
88.9%	2	`u1`
88.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
90.6%	2	`u2`
90.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes23.0ms (0.1%)

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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 u1) u2) (.f32 (PI.f32) (log.f32 (E.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.5%	2	`u2`
90.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes63.0ms (0.4%)

Counts

24 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (-.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 (pow.f32 (.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 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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

5 calls:

31.0ms	u1
7.0ms	cosTheta_i
7.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms	u2
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
85.1%	1	`cosTheta_i`
85.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
85.1%	1	`u1`
85.1%	1	`u2`
85.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes46.0ms (0.3%)

Counts

20 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 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 #s(literal 1/2 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 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 20/27 binary32) u1) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

5 calls:

18.0ms	u1
8.0ms	cosTheta_i
6.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u2

Results

Accuracy	Segments	Branch
80.8%	1	`u1`
80.8%	1	`u2`
80.8%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
80.8%	1	`cosTheta_i`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes36.0ms (0.2%)

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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (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))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 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 #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)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

5 calls:

12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Accuracy	Segments	Branch
81.0%	2	`u2`
80.5%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
81.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
77.2%	1	`cosTheta_i`
77.2%	1	`u1`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes26.0ms (0.2%)

Counts

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

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

5 calls:

6.0ms	u2
5.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	cosTheta_i
4.0ms	u1

Results

Accuracy	Segments	Branch
76.1%	1	`cosTheta_i`
76.1%	1	`u1`
79.4%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.0%	2	`u2`
80.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes25.0ms (0.2%)

Counts

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

Calls

5 calls:

6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	cosTheta_i
4.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
76.1%	1	`cosTheta_i`
76.1%	1	`u1`
76.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.1%	1	`u2`
76.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes24.0ms (0.2%)

Counts

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

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

Calls

5 calls:

6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms	u1
4.0ms	cosTheta_i
4.0ms	u2

Results

Accuracy	Segments	Branch
73.7%	1	`u2`
73.7%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
73.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
73.7%	1	`cosTheta_i`
73.7%	1	`u1`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes19.0ms (0.1%)

Counts

10 → 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 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 u1 u1) #s(literal 1/4 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 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

5 calls:

5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u1
4.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
66.0%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
66.0%	1	`cosTheta_i`
66.0%	1	`u2`
66.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
66.0%	1	`u1`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0.4%)

Threshold costs -0b (-0.4%)

Counts

2 → 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)))

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

Calls

3 calls:

1.0ms	u1
1.0ms	u2
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
66.0%	1	`cosTheta_i`
66.0%	1	`u1`
66.0%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	0.08737970888614655	0.09897090494632721

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08737970888614655	0.09897090494632721

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08737970888614655	0.09897090494632721

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08737970888614655	0.09897090494632721

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08737970888614655	0.09897090494632721

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004234512452967465	0.0005167035269550979

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004234512452967465	0.0005167035269550979

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004234512452967465	0.0005167035269550979

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004234512452967465	0.0005167035269550979

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1450534164905548	0.17255699634552002

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1450534164905548	0.17255699634552002

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.01646476984024048	0.018430721014738083

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009861140511929989	0.010116031393408775

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

158×	`*-commutative_binary32`
74×	`+-commutative_binary32`
48×	`sub-neg_binary32`
42×	`neg-sub0_binary32`
42×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	798
1	226	798
2	263	798
3	299	798
4	334	798
5	369	798
6	390	798
7	398	798
8	401	798
9	402	798

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))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)))) 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 3019899/33554432 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 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 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 3019899/33554432 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 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 3019899/33554432 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 3019899/33554432 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 3019899/33554432 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 #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 8589935/17179869184 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 (+.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 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) 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 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) 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 8589935/17179869184 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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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 (pow.f32 (.f32 u1 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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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) (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))))))))) (.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 #s(literal 1/2 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)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 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 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/536870912 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))))))
(.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 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.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))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)))) 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 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 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 3019899/33554432 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 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) (.f32 u1 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 3019899/33554432 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)))) (pow.f32 (.f32 (+.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 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 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 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32))))))) 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 3019899/33554432 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 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 13/36 binary32)))))))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 3019899/33554432 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 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 3019899/33554432 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 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 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 #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 3019899/33554432 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 #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 8589935/17179869184 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 (+.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 8589935/17179869184 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 (+.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 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) 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 8589935/17179869184 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 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) 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 8589935/17179869184 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 u1 (.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/17179869184 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 8589935/17179869184 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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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 (pow.f32 (.f32 u1 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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 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 (sin.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 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 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 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)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 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 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2415919/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (.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)))))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/536870912 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 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5368709/536870912 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 (PI.f32) u2))) (.f32 (.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)))))) (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 (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) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 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 #s(literal 1/2 binary32))))))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.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))))

soundness2.8s (18.2%)

Rules

6966×	`-lowering-.f32`
6966×	`-lowering-.f64`
6128×	`-lowering-.f32`
6128×	`-lowering-.f64`
6012×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	234
1	276	213
2	2101	186
0	8392	186
0	58	271
1	295	213
2	2348	181
0	8435	181
0	865	6420
1	3067	5615
2	7566	5614
0	8094	5614
0	613	6244
1	2105	5302
2	7665	5283
0	8405	5283
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	916	7108
1	3262	6045
0	8058	6045
0	318	3588
1	1045	2966
2	3746	2730
0	8380	2730

Stop Event

1×	fuel
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 2016 to 1106 computations (45.1% saved)

preprocess169.0ms (1.1%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 2174 to 760 computations (65% saved)

Iter	Nodes	Cost
0	133	798
1	226	798
2	263	798
3	299	798
4	334	798
5	369	798
6	390	798
7	398	798
8	401	798
9	402	798

Iter	Nodes	Cost
0	133	798
1	226	798
2	263	798
3	299	798
4	334	798
5	369	798
6	390	798
7	398	798
8	401	798
9	402	798

analyze467.0ms (3%)

sample2.1s (13.7%)

preprocess95.0ms (0.6%)

explain197.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize94.0ms (0.6%)

series48.0ms (0.3%)

rewrite382.0ms (2.5%)

simplify369.0ms (2.4%)

eval57.0ms (0.4%)

prune116.0ms (0.8%)

simplify160.0ms (1%)

localize429.0ms (2.8%)

series188.0ms (1.2%)

rewrite340.0ms (2.2%)

simplify478.0ms (3.1%)

eval574.0ms (3.7%)

prune289.0ms (1.9%)

simplify280.0ms (1.8%)

localize340.0ms (2.2%)

series119.0ms (0.8%)

rewrite416.0ms (2.7%)

simplify349.0ms (2.3%)

eval628.0ms (4.1%)

prune257.0ms (1.7%)

simplify184.0ms (1.2%)

localize264.0ms (1.7%)

series103.0ms (0.7%)

rewrite343.0ms (2.2%)

simplify341.0ms (2.2%)

eval144.0ms (0.9%)

prune245.0ms (1.6%)

regimes596.0ms (3.9%)

regimes202.0ms (1.3%)

regimes213.0ms (1.4%)

regimes64.0ms (0.4%)

regimes44.0ms (0.3%)

regimes32.0ms (0.2%)

regimes123.0ms (0.8%)

regimes125.0ms (0.8%)

regimes164.0ms (1.1%)

regimes28.0ms (0.2%)

regimes27.0ms (0.2%)

regimes95.0ms (0.6%)

regimes23.0ms (0.1%)

regimes63.0ms (0.4%)

regimes46.0ms (0.3%)

regimes36.0ms (0.2%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes19.0ms (0.1%)

regimes5.0ms (0%)

bsearch2.0ms (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%)

simplify30.0ms (0.2%)

soundness2.8s (18.2%)

preprocess169.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	133	798
1	226	798
2	263	798
3	299	798
4	334	798
5	369	798
6	390	798
7	398	798
8	401	798
9	402	798