Metrics for Beckmann Sample, near normal, slope

analyze514.0ms (3.9%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

...c/correct-round.rkt:119:19: 76.0ms (22.2% of total)

ival-cos: 61.0ms (17.8% of total)

ival-<=: 41.0ms (12% of total)

ival-mult: 39.0ms (11.4% of total)

ival-log: 31.0ms (9.1% of total)

ival-sub: 30.0ms (8.8% of total)

ival-neg: 21.0ms (6.1% of total)

ival-sqrt: 13.0ms (3.8% of total)

ival->: 10.0ms (2.9% of total)

ival-and: 9.0ms (2.6% of total)

ival-pi: 7.0ms (2% of total)

const: 2.0ms (0.6% of total)

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

sample2.6s (19.5%)

Results

1.9s	8256×	0	valid
2.0ms	9×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.5s

...c/correct-round.rkt:119:19: 359.0ms (23.3% of total)

ival-mult: 241.0ms (15.7% of total)

ival-log: 209.0ms (13.6% of total)

ival-<=: 196.0ms (12.7% of total)

ival-cos: 130.0ms (8.4% of total)

ival-sqrt: 112.0ms (7.3% of total)

ival-sub: 86.0ms (5.6% of total)

ival-pi: 52.0ms (3.4% of total)

ival->: 51.0ms (3.3% of total)

ival-neg: 50.0ms (3.2% of total)

ival-and: 41.0ms (2.7% of total)

const: 9.0ms (0.6% of total)

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

Bogosity

preprocess73.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs cosTheta_i)

(abs u2)

explain164.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
206	2	(0.999940812587738 0.004305475857108831 9.589850691327229e-9)	7	(0.9999788403511047 0.013871517963707447 4.1468108975095674e-5)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999699592590332 0.0005884504062123597 0.25292113423347473)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`

Results

112.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 20.0ms (33.5% of total)

ival-log: 15.0ms (25.1% of total)

ival-cos: 11.0ms (18.4% of total)

ival-sqrt: 5.0ms (8.4% of total)

ival-sub: 3.0ms (5% of total)

ival-neg: 3.0ms (5% of total)

ival-pi: 2.0ms (3.4% of total)

const: 1.0ms (1.7% 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
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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	14	44
1	29	44
2	44	44
3	56	44
4	75	44
5	95	44
6	112	44
7	127	44
8	128	44
0	128	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)

Results

42.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 10.0ms (31.5% of total)

compiled-spec: 6.0ms (18.9% of total)

ival-log: 4.0ms (12.6% of total)

ival-cos: 3.0ms (9.5% of total)

ival-neg: 3.0ms (9.5% of total)

ival-sqrt: 2.0ms (6.3% of total)

ival-pi: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

const: 1.0ms (3.2% of total)

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

series41.0ms (0.3%)

Counts

6 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
2.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
2.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
1.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
1.0ms	u1	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))

rewrite240.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`sum5-define`
1822×	`-lowering-.f32`
1822×	`-lowering-.f64`
1294×	`sum4-define`
1200×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	69	33
2	413	33
3	3687	33
0	8147	33

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 203

Calls

Call 1

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

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

simplify260.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	1745
1	982	1456
2	3477	1338
0	8030	1338

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (.f32 u2 u2) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (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))))))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 (+.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32)))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.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 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) 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))))))))
(+.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 (/.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 (* (/ (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)))))))))
(+.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 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.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 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 u1 u1)))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -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)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -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)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(* 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 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (.f32 u1 (+.f32 #s(literal -1/3 binary32) (.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #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)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (.f32 u2 u2) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

eval36.0ms (0.3%)

Compiler: Compiled 7768 to 1324 computations (83% saved)

prune59.0ms (0.5%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	259	28	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	259	29	288

Accuracy

99.8%

Counts

288 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(.f32 (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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	58.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	98.7%	(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
▶	96.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	52.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	92.1%	(.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))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	55.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	54.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	54.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	80.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Compiler

Compiled 1497 to 1039 computations (30.6% saved)

simplify185.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6496	(/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
✓	cost-diff	6592	(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))
✓	cost-diff	6592	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))))
✓	cost-diff	6592	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	64	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))
✓	cost-diff	96	(+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))
✓	cost-diff	96	(sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
✓	cost-diff	96	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	cost-diff	64	(.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	192	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	cost-diff	192	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	64	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	3520	(-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
✓	cost-diff	3648	(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	cost-diff	3648	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))

Rules

1986×	`sum4-define`
1960×	`sum5-define`
1658×	`+-lowering-+.f64`
1658×	`+-lowering-+.f32`
1410×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	495
1	118	476
2	283	347
3	736	327
4	1695	327
5	7479	327
0	8102	327

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize658.0ms (5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))
✓	accuracy	99.1%	(/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	98.8%	(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
✓	accuracy	99.1%	(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.0%	(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	24.1%	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	100.0%	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	accuracy	100.0%	(neg.f32 u1)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.2%	(-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	37.8%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))

Results

466.0ms	176×	0	valid
95.0ms	80×	1	valid

Compiler

Compiled 452 to 44 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

compiled-spec: 61.0ms (28.2% of total)

ival-log: 57.0ms (26.3% of total)

ival-mult: 32.0ms (14.8% of total)

ival-add: 17.0ms (7.9% of total)

ival-div: 12.0ms (5.5% of total)

backward-pass: 9.0ms (4.2% of total)

ival-sqrt: 7.0ms (3.2% of total)

ival-cos: 6.0ms (2.8% of total)

ival-neg: 5.0ms (2.3% of total)

ival-pow: 4.0ms (1.8% of total)

ival-sub: 3.0ms (1.4% of total)

ival-pi: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

series104.0ms (0.8%)

Counts

25 → 348

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))>
#<alt (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ (* -1/2 (* (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt 1>
#<alt (+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt 1/2>
#<alt (+ 1/2 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<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 (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
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#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 u1))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1/2 u1)) u1)>
#<alt (/ (+ 1 (* u1 (- (* -1/12 u1) 1/2))) u1)>
#<alt (/ (+ 1 (* u1 (- (* u1 (- (* -1/24 u1) 1/12)) 1/2))) u1)>
#<alt (/ -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (* -1 (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (pow u1 2))) (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (* -1 (/ (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 4)))) (pow u1 3))) (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (* 1/2 (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (+ (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (/ 1 (log (/ -1 u1)))>
#<alt (- (/ 1 (log (/ -1 u1))) (/ 1 (* u1 (pow (log (/ -1 u1)) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (log (/ -1 u1)) 3)) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2)))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* -1 (/ (- (/ 1 (pow (log (/ -1 u1)) 3)) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2)))) (log (/ -1 u1)))) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (/ 1 (pow (log (/ -1 u1)) 3))) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2)))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* 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 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (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 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))>
#<alt (pow (log (/ -1 u1)) 2)>
#<alt (+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))>

Calls

87 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	(* (sqrt (+ (log (+ 1 (* u1 (+ 1 u1)))) (log (/ 1 (- 1 (* u1 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
17.0ms	u1	@	inf	(* (sqrt (/ 1 (/ (log (+ 1 (neg u1))) (neg (pow (log (+ 1 (neg u1))) 2))))) (cos (* 2 (* (PI) u2))))
12.0ms	u1	@	inf	(* (sqrt (+ (log (+ 1 (* u1 (+ 1 u1)))) (log (/ 1 (- 1 (* u1 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
9.0ms	u1	@	inf	(log (/ 1 (- 1 (* u1 (* u1 u1)))))
2.0ms	u1	@	0	(log (/ 1 (- 1 (* u1 (* u1 u1)))))

rewrite403.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2926×	`-lowering-.f32`
2926×	`-lowering-.f64`
1842×	`fma-lowering-fma.f32`
1842×	`fma-lowering-fma.f64`
1678×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	279	191
2	2194	148
0	8464	148

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1023

Calls

Call 1

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

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

simplify353.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

6512×	`-lowering-.f32`
6512×	`-lowering-.f64`
3958×	`+-lowering-+.f64`
3958×	`+-lowering-+.f32`
1420×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	857	8120
1	2843	6495
0	8787	6495

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1/2 (* (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/2 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
1
(+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
1/2
(+ 1/2 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
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(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 2/45 binary32) (*.f32 u2 u2)))))))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32))))))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32)))))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (.f32 (log.f32 u1) #s(literal -2 binary32)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (+.f32 (neg.f32 (.f32 (log.f32 u1) #s(literal -2 binary32))) (/.f32 #s(literal -2/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(.f32 u1 (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 11/12 binary32) (*.f32 u1 #s(literal 5/6 binary32))))))))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(+.f32 (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+.f32 (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1) (-.f32 (+.f32 (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(+.f32 (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1) (-.f32 (+.f32 (.f32 (/.f32 #s(literal -2/3 binary32) u1) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (.f32 u1 u1))) (+.f32 (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))))
(pow (log (/ -1 u1)) 2)
(pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1)) u1))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2/3 binary32)) #s(literal -1 binary32)) u1))) u1)) u1))

eval212.0ms (1.6%)

Compiler: Compiled 64713 to 4838 computations (92.5% saved)

prune312.0ms (2.4%)

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1982	37	2019
Fresh	12	11	23
Picked	4	1	5
Done	0	1	1
Total	1998	50	2048

Accuracy

99.9%

Counts

2048 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
	90.9%	(+.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 u1 u1) (.f32 (cos.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))))))
	4.9%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	55.3%	(.f32 (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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	88.5%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	86.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
	94.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	93.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	86.8%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	86.5%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 u1 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
▶	71.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	70.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	76.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	96.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (+.f32 (.f32 u1 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	94.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	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))))))))) #s(literal 1 binary32))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	92.1%	(.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))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.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))))))) #s(literal 1 binary32))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	73.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	80.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	55.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	54.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	46.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	40.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32)))
	45.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))
▶	85.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	40.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	76.4%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	65.4%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.9%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	80.0%	(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (*.f32 u1 u1))))))

Compiler

Compiled 2469 to 1710 computations (30.7% saved)

simplify192.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
✓	cost-diff	256	(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))))
✓	cost-diff	256	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))))
✓	cost-diff	256	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓	cost-diff	0	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (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	64	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	32	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	128	(+.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	128	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))

Rules

2718×	`+-lowering-+.f64`
2718×	`+-lowering-+.f32`
1752×	`fma-lowering-fma.f32`
1752×	`fma-lowering-fma.f64`
1430×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	342
1	118	302
2	238	298
3	662	298
4	2635	298
5	5132	298
6	6917	298
0	8192	298

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize230.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
✓	accuracy	98.9%	(/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
✓	accuracy	98.7%	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
✓	accuracy	99.5%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.3%	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓	accuracy	99.1%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	98.6%	(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.2%	(-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))
✓	accuracy	99.0%	(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))

Results

152.0ms

256×

valid

Compiler

Compiled 374 to 48 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 36.0ms (32.8% of total)

compiled-spec: 16.0ms (14.6% of total)

ival-div: 9.0ms (8.2% of total)

ival-log: 9.0ms (8.2% of total)

ival-add: 8.0ms (7.3% of total)

ival-sqrt: 8.0ms (7.3% of total)

ival-pow: 8.0ms (7.3% of total)

ival-cos: 7.0ms (6.4% of total)

ival-neg: 4.0ms (3.6% of total)

ival-pi: 2.0ms (1.8% of total)

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

const: 1.0ms (0.9% of total)

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

series71.0ms (0.5%)

Counts

24 → 324

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* (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 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* (sqrt u1) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt u1) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))))))>
#<alt (+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))))))))>
#<alt (* (/ (sqrt -1) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (sqrt -1) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (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) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (sqrt -1) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (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) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (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) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (sqrt -1) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1/2 (* (/ 1 (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))))) u1)) (* (sqrt (log (/ -1 u1))) (/ (pow (sqrt -1) 2) (+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* 1/2 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 2))) (sqrt (log (- 1 u1)))))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) (pow u2 2))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow u2 4) (pow (PI) 6))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1))))))) (pow u2 2))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (+ (* -1/16 (* (/ (sqrt -1) (* (pow u2 6) (pow (PI) 8))) (sqrt (log (- 1 u1))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow u2 4) (pow (PI) 6))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1)))))))) (pow u2 2))>
#<alt (* 1/2 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 2))) (sqrt (log (- 1 u1)))))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) (pow u2 2))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow u2 4) (pow (PI) 6))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1))))))) (pow u2 2))>
#<alt (/ (+ (* -1/4 (* (/ (sqrt -1) (* (pow u2 2) (pow (PI) 4))) (sqrt (log (- 1 u1))))) (+ (* -1/16 (* (/ (sqrt -1) (* (pow u2 6) (pow (PI) 8))) (sqrt (log (- 1 u1))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow u2 4) (pow (PI) 6))) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (sqrt -1) (pow (PI) 2)) (sqrt (log (- 1 u1)))))))) (pow u2 2))>
#<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))>
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Calls

81 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(* (sqrt (/ 1 (/ (log (+ 1 (neg u1))) (neg (* -1 (/ 1 (/ -1 (pow (log (+ 1 u1)) 2)))))))) (cos (* 2 (* (PI) u2))))
4.0ms	u1	@	inf	(* (sqrt (* u1 (* u1 u1))) 1/4)
3.0ms	u1	@	inf	(* (sqrt (/ 1 (/ (log (+ 1 (neg u1))) (neg (* -1 (/ 1 (/ -1 (pow (log (+ 1 u1)) 2)))))))) (cos (* 2 (* (PI) u2))))
3.0ms	u1	@	-inf	(* (sqrt (/ 1 (/ (log (+ 1 (neg u1))) (neg (* -1 (/ 1 (/ -1 (pow (log (+ 1 u1)) 2)))))))) (cos (* 2 (* (PI) u2))))
2.0ms	u2	@	0	(* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4)) (cos (* 2 (* (PI) u2))))

rewrite345.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3056×	`-lowering-.f32`
3056×	`-lowering-.f64`
2158×	`/-lowering-/.f32`
2158×	`/-lowering-/.f64`
1864×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	193
1	261	173
2	1751	154
0	8583	154

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 603

Calls

Call 1

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

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

simplify408.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6008×	`-lowering-.f32`
6008×	`-lowering-.f64`
4072×	`+-lowering-+.f64`
4072×	`+-lowering-+.f32`
1430×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1135	10043
1	3955	8895
0	8219	8895

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(/ (log (/ -1 u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
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(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1/2
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
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(- (cos (* 2 (* u2 (PI)))) 1/2)
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -8 (* (pow u2 2) (pow (PI) 6))) (* -4 (pow (PI) 4)))) (* 2 (pow (PI) 2)))))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* u2 (PI))
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(* (pow u1 2) (+ 1 (* -1 u1)))
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(pow (log (/ 1 u1)) 2)
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(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
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(* -1 (pow u1 2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 u1))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))
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Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal -1 binary32))
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1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))
(+ 1 (* (pow u2 2) (- (* 4 (* (pow u2 2) (pow (PI) 4))) (* 2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal 4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -8 (* (pow u2 2) (pow (PI) 6))) (* -4 (pow (PI) 4)))) (* 2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -8 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 u2 #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))) (.f32 u2 u2))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 u2 #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 8 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))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal 11/12 binary32)) #s(literal -1 binary32)))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 #s(literal 11/12 binary32) (*.f32 u1 #s(literal -5/6 binary32)))) #s(literal -1 binary32)))))
(pow (log (/ 1 u1)) 2)
(pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(+.f32 (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)) (/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 u1))) u1))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(+.f32 (/.f32 (neg.f32 (.f32 #s(literal -2 binary32) (log.f32 u1))) u1) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (neg.f32 (log.f32 u1)) (*.f32 u1 u1))) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(+.f32 (+.f32 (/.f32 (neg.f32 (.f32 #s(literal -2 binary32) (log.f32 u1))) u1) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (neg.f32 (log.f32 u1)) (.f32 u1 u1))) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 (neg.f32 (.f32 (log.f32 u1) #s(literal -2/3 binary32))) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)) u1))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -2/3 binary32))) u1)) u1)) u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- u1 1))
(.f32 (.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)))
(* (pow u1 2) (- (* u1 (+ 1 (* -11/12 u1))) 1))
(.f32 (.f32 u1 u1) (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -11/12 binary32)))) #s(literal -1 binary32)))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- (* 5/6 u1) 11/12)))) 1))
(.f32 (.f32 u1 u1) (+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (*.f32 u1 #s(literal 5/6 binary32)) #s(literal -11/12 binary32))))) #s(literal -1 binary32)))
(* -1 (pow (log (/ 1 u1)) 2))
(neg.f32 (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))
(+ (* -1 (pow (log (/ 1 u1)) 2)) (* 2 (/ (log (/ 1 u1)) u1)))
(-.f32 (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1))) u1) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))
(+ (* -1 (/ (+ 1 (log (/ 1 u1))) (pow u1 2))) (+ (* -1 (pow (log (/ 1 u1)) 2)) (* 2 (/ (log (/ 1 u1)) u1))))
(+.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (log.f32 u1)) (.f32 u1 u1)) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (log.f32 u1))) u1))
(+ (* -1 (/ (+ 1 (log (/ 1 u1))) (pow u1 2))) (+ (* -1 (/ (- (* -2/3 (log (/ 1 u1))) 1) (pow u1 3))) (+ (* -1 (pow (log (/ 1 u1)) 2)) (* 2 (/ (log (/ 1 u1)) u1)))))
(+.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (log.f32 u1)) (.f32 u1 u1)) (/.f32 (+.f32 (neg.f32 (.f32 (log.f32 u1) #s(literal -2/3 binary32))) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (-.f32 (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1))) u1) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))))
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(neg.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))
(-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 u1))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))
(-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1)) (neg.f32 u1)) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (/ 1 u1))) u1)) (* 2 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))
(neg.f32 (+.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -2/3 binary32)) u1)) (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))))

eval142.0ms (1.1%)

Compiler: Compiled 33208 to 4212 computations (87.3% saved)

prune223.0ms (1.7%)

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	1089	24	1113
Fresh	9	34	43
Picked	3	2	5
Done	0	2	2
Total	1101	62	1163

Accuracy

99.9%

Counts

1163 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
	4.6%	(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))))
	88.1%	(/.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
	88.2%	(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
	4.9%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	73.6%	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
	55.3%	(.f32 (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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	4.9%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	88.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))) (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	4.6%	(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	88.4%	(.f32 (+.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	88.5%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	86.0%	(.f32 (+.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	86.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
▶	88.0%	(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	88.0%	(.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	88.1%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	94.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	93.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	86.8%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	76.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	96.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (+.f32 (.f32 u1 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	94.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	82.0%	(.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	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))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	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))))))))) #s(literal 1 binary32))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	80.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	92.1%	(.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))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.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))))))) #s(literal 1 binary32))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	77.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	73.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	80.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	55.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	54.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	48.5%	(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	46.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32)))
	45.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	67.7%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
▶	76.4%	(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	65.4%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	4.9%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	4.9%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
	80.0%	(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (*.f32 u1 u1))))))

Compiler

Compiled 2919 to 2078 computations (28.8% saved)

simplify192.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))
✓	cost-diff	0	(-.f32 u1 (.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)))
✓	cost-diff	64	(.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
✓	cost-diff	64	(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	cost-diff	128	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓	cost-diff	192	(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓	cost-diff	192	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓	cost-diff	256	(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
✓	cost-diff	0	(-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))
✓	cost-diff	96	(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
✓	cost-diff	128	(+.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	-32	(sqrt.f32 u1)
✓	cost-diff	32	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
✓	cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Rules

2320×	`-lowering-.f32`
2320×	`-lowering-.f64`
1638×	`--lowering--.f32`
1638×	`--lowering--.f64`
1420×	`fnmsub-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	53	361
1	133	342
2	287	339
3	740	339
4	2776	339
5	3929	321
6	7011	315
0	8021	315

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(log (+ 1 u1))
u1
(log (+ 1 (- 0 (* u1 u1))))
(- 0 (* u1 u1))
0
(* u1 u1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt u1) 1)
(sqrt u1)
u1
1
(* (sqrt u1) (+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2))
(sqrt u1)
u1
(+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2)
(- (cos (* u2 (* 2 (PI)))) 1/2)
(cos (* u2 (* 2 (PI))))
(* u2 (* 2 (PI)))
u2
(* 2 (PI))
2
(PI)
1/2
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(+ 1 u1)
1
u1
(- 1 (* u1 u1))
(* u1 u1)
(/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI))))))
(+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))
(* (* u2 u2) (* 2 (* (PI) (PI))))
(* u2 u2)
u2
(* 2 (* (PI) (PI)))
2
(* (PI) (PI))
(PI)
(* (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))) (cos (* 2 (* (PI) u2))))
(* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))))
(- u1 (* (* u1 (* u1 u1)) 1/16))
u1
(* (* u1 (* u1 u1)) 1/16)
(* u1 (* u1 u1))
(* u1 u1)
1/16
(/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))
1
(+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))
(pow u1 1/2)
1/2
(* -1/4 (pow u1 3/2))
-1/4
(pow u1 3/2)
3/2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2

Outputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (+ 1 (- 0 (* u1 u1))))
(log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(- 0 (* u1 u1))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
0
#s(literal 0 binary32)
(* u1 u1)
(*.f32 u1 u1)
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt u1) 1)
(pow.f32 u1 #s(literal 1/2 binary32))
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1
#s(literal 1 binary32)
(* (sqrt u1) (+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32)))
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2)
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(- (cos (* u2 (* 2 (PI)))) 1/2)
(+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))
(cos (* u2 (* 2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* u2 (* 2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
u2
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
1/2
#s(literal 1/2 binary32)
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))))
(/.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 u2))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 u2))))))
(+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))
(+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 u2)))))
(* (* u2 u2) (* 2 (* (PI) (PI))))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 u2))))
(* u2 u2)
(*.f32 u2 u2)
u2
(* 2 (* (PI) (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))
2
#s(literal 2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))) (cos (* 2 (* (PI) u2))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 u1 (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1 binary32)))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
(* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))))
(/.f32 (.f32 u1 (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
(- u1 (* (* u1 (* u1 u1)) 1/16))
(.f32 u1 (-.f32 (.f32 (*.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1 binary32)))
u1
(* (* u1 (* u1 u1)) 1/16)
(.f32 u1 (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))
(* u1 (* u1 u1))
(.f32 u1 (.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
1/16
#s(literal 1/16 binary32)
(/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
1
#s(literal 1 binary32)
(+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))
(+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* -1/4 (pow u1 3/2))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
-1/4
#s(literal -1/4 binary32)
(pow u1 3/2)
(pow.f32 u1 #s(literal 3/2 binary32))
3/2
#s(literal 3/2 binary32)
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize363.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
✓	accuracy	99.1%	(.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
✓	accuracy	99.1%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	98.6%	(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	53.2%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓	accuracy	99.6%	(+.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
✓	accuracy	99.5%	(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	99.2%	(-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))
✓	accuracy	99.0%	(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.5%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
✓	accuracy	99.2%	(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)

Results

150.0ms	215×	0	valid
69.0ms	41×	1	valid

Compiler

Compiled 404 to 54 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 37.0ms (21% of total)

ival-pow: 32.0ms (18.2% of total)

compiled-spec: 29.0ms (16.5% of total)

ival-add: 22.0ms (12.5% of total)

ival-log: 16.0ms (9.1% of total)

ival-sub: 8.0ms (4.5% of total)

ival-cos: 8.0ms (4.5% of total)

ival-sqrt: 7.0ms (4% of total)

ival-div: 6.0ms (3.4% of total)

backward-pass: 5.0ms (2.8% of total)

ival-neg: 3.0ms (1.7% of total)

const: 2.0ms (1.1% of total)

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

series61.0ms (0.5%)

Counts

26 → 348

Calls

Call 1

Inputs
#<alt (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))>
#<alt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))>
#<alt (log (+ 1 u1))>
#<alt (* (sqrt u1) 1)>
#<alt (sqrt u1)>
#<alt (+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2)>
#<alt (* (sqrt u1) (+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2))>
#<alt (- (cos (* u2 (* 2 (PI)))) 1/2)>
#<alt (cos (* u2 (* 2 (PI))))>
#<alt (* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))))>
#<alt (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))>
#<alt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))>
#<alt (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))>
#<alt (* (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))) (cos (* 2 (* (PI) u2))))>
#<alt (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))))>
#<alt (- u1 (* (* u1 (* u1 u1)) 1/16))>
#<alt (* (* u1 (* u1 u1)) 1/16)>
#<alt (* (PI) u2)>
#<alt (* u2 (* 2 (PI)))>
#<alt (log (/ (+ 1 u1) (- 1 (* u1 u1))))>
#<alt (* (PI) (PI))>
#<alt (* (* u2 u2) (* 2 (* (PI) (PI))))>
#<alt (/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI))))))>
#<alt (* u1 (* u1 u1))>
#<alt (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))>

Outputs
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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)))>
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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 (PI))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (- (* 4 (* (pow u2 2) (pow (PI) 4))) (* 2 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -8 (* (pow u2 2) (pow (PI) 6))) (* -4 (pow (PI) 4)))) (* 2 (pow (PI) 2)))))>
#<alt (/ 1/2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))>
#<alt (/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))>
#<alt (/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))>
#<alt (/ 1/2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))>
#<alt (/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))>
#<alt (/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (sqrt (/ 1 u1))>
#<alt (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1)))>
#<alt (+ (sqrt (/ 1 u1)) (* u1 (- (* 1/16 (sqrt u1)) (* -1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt (/ 1 u1)) (* u1 (- (* u1 (- (* 1/64 (sqrt u1)) (* -1/16 (sqrt (/ 1 u1))))) (* -1/4 (sqrt (/ 1 u1))))))>
#<alt (* -4 (sqrt (/ 1 (pow u1 3))))>
#<alt (/ (+ (* -16 (sqrt (/ 1 u1))) (* -4 (sqrt u1))) (pow u1 2))>
#<alt (/ (- (+ (* -64 (sqrt (/ 1 (pow u1 3)))) (* -4 (sqrt u1))) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))>
#<alt (/ (- (+ (* -256 (sqrt (/ 1 (pow u1 5)))) (* -4 (sqrt u1))) (+ (* 16 (sqrt (/ 1 u1))) (* 64 (sqrt (/ 1 (pow u1 3)))))) (pow u1 2))>
#<alt (* -4 (sqrt (/ 1 (pow u1 3))))>
#<alt (/ (+ (* -4 (sqrt u1)) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))>
#<alt (/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* 64 (sqrt (/ 1 u1))) (* 16 (sqrt u1))) u1))) (pow u1 2))>
#<alt (/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* -1 (/ (- (* 256 (sqrt (/ 1 u1))) (* 64 (sqrt u1))) u1)) (* 16 (sqrt u1))) u1))) (pow u1 2))>

Calls

87 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))
6.0ms	u1	@	-inf	(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
2.0ms	u2	@	inf	(+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2)
2.0ms	u1	@	inf	(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))
1.0ms	u2	@	inf	(* (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))) (cos (* 2 (* (PI) u2))))

rewrite346.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3120×	`-lowering-.f32`
3120×	`-lowering-.f64`
1536×	`pow-lowering-pow.f64`
1536×	`pow-lowering-pow.f32`
1390×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	224
1	311	173
2	2488	158
0	8818	158

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 713

Calls

Call 1

Inputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(log (+ 1 u1))
(* (sqrt u1) 1)
(sqrt u1)
(+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2)
(* (sqrt u1) (+ (- (cos (* u2 (* 2 (PI)))) 1/2) 1/2))
(- (cos (* u2 (* 2 (PI)))) 1/2)
(cos (* u2 (* 2 (PI))))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI)))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(* (* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))) (cos (* 2 (* (PI) u2))))
(* (- u1 (* (* u1 (* u1 u1)) 1/16)) (/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2)))))
(- u1 (* (* u1 (* u1 u1)) 1/16))
(* (* u1 (* u1 u1)) 1/16)
(* (PI) u2)
(* u2 (* 2 (PI)))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(* (PI) (PI))
(* (* u2 u2) (* 2 (* (PI) (PI))))
(/ 1 (+ 1 (* (* u2 u2) (* 2 (* (PI) (PI))))))
(* u1 (* u1 u1))
(/ 1 (+ (pow u1 1/2) (* -1/4 (pow u1 3/2))))

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

simplify401.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5522×	`-lowering-.f32`
5522×	`-lowering-.f64`
2574×	`+-lowering-+.f64`
2574×	`+-lowering-+.f32`
1522×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	687	6101
1	2247	5180
2	7748	5178
0	8207	5178

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 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))
(* -1 (+ (log -1) (log (/ 1 u1))))
(* -1 (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (+ (log -1) (log (/ 1 u1))))
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))) (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))
(* -1 (log (/ -1 u1)))
(* -1 (+ (log (/ -1 u1)) (/ 1 u1)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (log (/ -1 u1)))
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)) (log (/ -1 u1)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* u1 (+ (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))
(* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))
(/ (- u1 (* 1/16 (pow u1 3))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(- (+ (* -2 (/ (* (pow u2 2) (* (pow (PI) 2) (- u1 (* 1/16 (pow u1 3))))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (/ u1 (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* 1/16 (/ (pow u1 3) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))))
(- (+ (* (pow u2 2) (+ (* -2 (/ (* (pow (PI) 2) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* 2/3 (/ (* (pow u2 2) (* (pow (PI) 4) (- u1 (* 1/16 (pow u1 3))))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))))) (/ u1 (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* 1/16 (/ (pow u1 3) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))))
(- (+ (* (pow u2 2) (+ (* -2 (/ (* (pow (PI) 2) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/45 (/ (* (pow u2 2) (* (pow (PI) 6) (- u1 (* 1/16 (pow u1 3))))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* 2/3 (/ (* (pow (PI) 4) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))))))) (/ u1 (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))) (* 1/16 (/ (pow u1 3) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(/ (* (cos (* 2 (* u2 (PI)))) (- u1 (* 1/16 (pow u1 3)))) (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))))
(sqrt u1)
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* 1/4 (sqrt (pow u1 3)))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1))))
(* 1/4 (sqrt (pow u1 3)))
(* -1 (* u1 (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt u1)))))
(* -1 (* u1 (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt u1)))))
(* -1 (* u1 (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt u1)))))
u1
(* u1 (+ 1 (* -1/16 (pow u1 2))))
(* u1 (+ 1 (* -1/16 (pow u1 2))))
(* u1 (+ 1 (* -1/16 (pow u1 2))))
(* -1/16 (pow u1 3))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/16))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/16))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/16))
(* -1/16 (pow u1 3))
(* -1 (* (pow u1 3) (- 1/16 (/ 1 (pow u1 2)))))
(* -1 (* (pow u1 3) (- 1/16 (/ 1 (pow u1 2)))))
(* -1 (* (pow u1 3) (- 1/16 (/ 1 (pow u1 2)))))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* 1/16 (pow u1 3))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (* 4 (* (pow u2 2) (pow (PI) 4))) (* 2 (pow (PI) 2)))))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -8 (* (pow u2 2) (pow (PI) 6))) (* -4 (pow (PI) 4)))) (* 2 (pow (PI) 2)))))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(sqrt (/ 1 u1))
(+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1)))
(+ (sqrt (/ 1 u1)) (* u1 (- (* 1/16 (sqrt u1)) (* -1/4 (sqrt (/ 1 u1))))))
(+ (sqrt (/ 1 u1)) (* u1 (- (* u1 (- (* 1/64 (sqrt u1)) (* -1/16 (sqrt (/ 1 u1))))) (* -1/4 (sqrt (/ 1 u1))))))
(* -4 (sqrt (/ 1 (pow u1 3))))
(/ (+ (* -16 (sqrt (/ 1 u1))) (* -4 (sqrt u1))) (pow u1 2))
(/ (- (+ (* -64 (sqrt (/ 1 (pow u1 3)))) (* -4 (sqrt u1))) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))
(/ (- (+ (* -256 (sqrt (/ 1 (pow u1 5)))) (* -4 (sqrt u1))) (+ (* 16 (sqrt (/ 1 u1))) (* 64 (sqrt (/ 1 (pow u1 3)))))) (pow u1 2))
(* -4 (sqrt (/ 1 (pow u1 3))))
(/ (+ (* -4 (sqrt u1)) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))
(/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* 64 (sqrt (/ 1 u1))) (* 16 (sqrt u1))) u1))) (pow u1 2))
(/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* -1 (/ (- (* 256 (sqrt (/ 1 u1))) (* 64 (sqrt u1))) u1)) (* 16 (sqrt u1))) u1))) (pow u1 2))

Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.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) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 u1 u1) (.f32 (cos.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) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))))
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(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))))) (*.f32 u1 u1)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32)))))) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))))) (.f32 u1 u1)))) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (.f32 (log.f32 u1) #s(literal -2 binary32)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(* 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))))))))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (log.f32 u1)) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1))) u1))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (- (* 4 (* (pow u2 2) (pow (PI) 4))) (* 2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (*.f32 #s(literal 4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -8 (* (pow u2 2) (pow (PI) 6))) (* -4 (pow (PI) 4)))) (* 2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -8 binary32))) (.f32 #s(literal 4 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 u2 u2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 u2 #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 8 binary32))))) (*.f32 u2 u2))
(/ 1/2 (* (pow u2 2) (pow (PI) 2)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2))
(/ (- (* 1/2 (/ 1 (pow (PI) 2))) (* 1/4 (/ 1 (* (pow u2 2) (pow (PI) 4))))) (pow u2 2))
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))
(/ (- (+ (/ 1/8 (* (pow u2 4) (pow (PI) 6))) (* 1/2 (/ 1 (pow (PI) 2)))) (/ 1/4 (* (pow u2 2) (pow (PI) 4)))) (pow u2 2))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 u2 u2))
(/ (- (+ (* 1/8 (/ 1 (* (pow u2 4) (pow (PI) 6)))) (* 1/2 (/ 1 (pow (PI) 2)))) (+ (/ 1/4 (* (pow u2 2) (pow (PI) 4))) (* 1/16 (/ 1 (* (pow u2 6) (pow (PI) 8)))))) (pow u2 2))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 u2 #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 u2 #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 8 binary32))))) (*.f32 u2 u2))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(+ (sqrt (/ 1 u1)) (* 1/4 (sqrt u1)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32)))
(+ (sqrt (/ 1 u1)) (* u1 (- (* 1/16 (sqrt u1)) (* -1/4 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal 1/16 binary32)))))
(+ (sqrt (/ 1 u1)) (* u1 (- (* u1 (- (* 1/64 (sqrt u1)) (* -1/16 (sqrt (/ 1 u1))))) (* -1/4 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/64 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32)))))))
(* -4 (sqrt (/ 1 (pow u1 3))))
(.f32 #s(literal -4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))
(/ (+ (* -16 (sqrt (/ 1 u1))) (* -4 (sqrt u1))) (pow u1 2))
(/.f32 (+.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -16 binary32))) (*.f32 u1 u1))
(/ (- (+ (* -64 (sqrt (/ 1 (pow u1 3)))) (* -4 (sqrt u1))) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))
(/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal -64 binary32)) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -16 binary32)))) (.f32 u1 u1))
(/ (- (+ (* -256 (sqrt (/ 1 (pow u1 5)))) (* -4 (sqrt u1))) (+ (* 16 (sqrt (/ 1 u1))) (* 64 (sqrt (/ 1 (pow u1 3)))))) (pow u1 2))
(/.f32 (+.f32 (.f32 #s(literal -256 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (-.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 16 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 64 binary32))))) (*.f32 u1 u1))
(* -4 (sqrt (/ 1 (pow u1 3))))
(.f32 #s(literal -4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))
(/ (+ (* -4 (sqrt u1)) (* 16 (sqrt (/ 1 u1)))) (pow u1 2))
(/.f32 (+.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 16 binary32))) (*.f32 u1 u1))
(/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* 64 (sqrt (/ 1 u1))) (* 16 (sqrt u1))) u1))) (pow u1 2))
(/.f32 (-.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 64 binary32)) (.f32 (sqrt.f32 u1) #s(literal -16 binary32))) u1)) (.f32 u1 u1))
(/ (+ (* -4 (sqrt u1)) (* -1 (/ (- (* -1 (/ (- (* 256 (sqrt (/ 1 u1))) (* 64 (sqrt u1))) u1)) (* 16 (sqrt u1))) u1))) (pow u1 2))
(/.f32 (-.f32 (.f32 (sqrt.f32 u1) #s(literal -4 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 256 binary32)) (.f32 (sqrt.f32 u1) #s(literal -64 binary32))) (neg.f32 u1)) (.f32 (sqrt.f32 u1) #s(literal -16 binary32))) u1)) (*.f32 u1 u1))

eval124.0ms (1%)

Compiler: Compiled 31324 to 3205 computations (89.8% saved)

prune262.0ms (2%)

Pruning

71 alts after pruning (64 fresh and 7 done)

	Pruned	Kept	Total
New	1090	29	1119
Fresh	18	35	53
Picked	2	3	5
Done	0	4	4
Total	1110	71	1181

Accuracy

99.9%

Counts

1181 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	65.4%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	4.6%	(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))))
	88.2%	(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
	73.3%	(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
	67.7%	(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
	4.9%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	68.4%	(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
	73.6%	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
	49.2%	(.f32 (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)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.0%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	4.9%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	88.1%	(.f32 (/.f32 (+.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #s(literal 1/256 binary32))) (.f32 (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))) (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	77.8%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
	4.6%	(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	86.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
	90.8%	(.f32 (.f32 (/.f32 (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 #s(literal -1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32))))) (-.f32 (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	76.2%	(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	88.0%	(.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	88.1%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	88.8%	(.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	88.2%	(.f32 (.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	94.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	93.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	76.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	94.3%	(.f32 (sqrt.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)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	51.2%	(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	96.3%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 (+.f32 (.f32 u1 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
	47.6%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	82.0%	(.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	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))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	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))))))))) #s(literal 1 binary32))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	80.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	92.1%	(.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))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.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))))))) #s(literal 1 binary32))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	77.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	88.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	73.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	48.9%	(.f32 (sqrt.f32 (neg.f32 (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	54.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	48.5%	(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	48.5%	(.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 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))
	45.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	76.3%	(.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))))
	76.3%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	32.4%	(.f32 (sqrt.f32 u1) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal -1/4 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))
	67.7%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.4%	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	76.4%	(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
✓	76.4%	(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	68.4%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	4.9%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	4.9%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
	88.1%	(.f32 u1 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32)))))
	80.0%	(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (*.f32 u1 u1))))))
	80.1%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
	46.5%	(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
	65.4%	(sqrt.f32 u1)
	64.4%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))

Compiler

Compiled 4349 to 1774 computations (59.2% saved)

regimes369.0ms (2.8%)

Counts

120 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
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(.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (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 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))))) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))))))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.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 #s(literal 0 binary32) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Outputs

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

Calls

10 calls:

41.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
39.0ms	u1
37.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
36.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
35.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes310.0ms (2.4%)

Counts

94 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.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 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (*.f32 u1 u1))))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 u1 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (+.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 u1 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (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)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(/.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.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)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))) (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1/64 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (/.f32 (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 #s(literal -1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32))))) (-.f32 (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (/.f32 (+.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) #s(literal 1/256 binary32))) (.f32 (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))) (+.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (+.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal -1/4 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (+.f32 (log1p.f32 (+.f32 (.f32 u1 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

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

Calls

10 calls:

41.0ms	u1
40.0ms	u2
38.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
29.0ms	cosTheta_i
27.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes169.0ms (1.3%)

Counts

51 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.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 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (neg.f32 (.f32 u1 (*.f32 u1 u1))))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

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

Calls

10 calls:

31.0ms	cosTheta_i
16.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	u2
15.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes48.0ms (0.4%)

Counts

46 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(.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 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.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 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))

Outputs

(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Calls

3 calls:

15.0ms	u1
13.0ms	cosTheta_i
13.0ms	u2

Results

Accuracy	Segments	Branch
94.7%	1	`cosTheta_i`
94.7%	1	`u1`
94.7%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes61.0ms (0.5%)

Counts

40 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))

Outputs

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

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

Calls

3 calls:

34.0ms	cosTheta_i
11.0ms	u1
11.0ms	u2

Results

Accuracy	Segments	Branch
93.8%	1	`u1`
93.8%	1	`cosTheta_i`
97.3%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts

38 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 u1) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #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 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal -1/16 binary32)))) (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32))))

Outputs

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

(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Calls

1 calls:

11.0ms

u2

Results

Accuracy	Segments	Branch
97.3%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

u2

Results

Accuracy	Segments	Branch
97.0%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.3%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms	u1
11.0ms	u2
10.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
95.5%	2	`u1`
89.9%	1	`cosTheta_i`
96.5%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

u2

Results

Accuracy	Segments	Branch
96.2%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	u1
8.0ms	u2

Results

Accuracy	Segments	Branch
93.1%	2	`u1`
94.3%	2	`u2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes28.0ms (0.2%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	u1
8.0ms	cosTheta_i
8.0ms	u2

Results

Accuracy	Segments	Branch
82.0%	1	`cosTheta_i`
87.6%	2	`u1`
90.6%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

u2

Results

Accuracy	Segments	Branch
90.6%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	u1
6.0ms	cosTheta_i
6.0ms	u2

Results

Accuracy	Segments	Branch
82.0%	1	`cosTheta_i`
82.0%	1	`u1`
82.0%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (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 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

6.0ms	cosTheta_i
5.0ms	u2
5.0ms	u1

Results

Accuracy	Segments	Branch
80.6%	1	`u2`
80.6%	1	`cosTheta_i`
80.6%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (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))))))))) #s(literal 1 binary32))

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

Calls

3 calls:

6.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
81.0%	2	`u2`
77.6%	1	`u1`
77.6%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 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))))))))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (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))))))))) #s(literal 1 binary32))

Calls

3 calls:

8.0ms	u1
4.0ms	cosTheta_i
4.0ms	u2

Results

Accuracy	Segments	Branch
77.2%	1	`cosTheta_i`
77.2%	1	`u1`
77.2%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.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))))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (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))))))) #s(literal 1 binary32))

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Accuracy	Segments	Branch
76.1%	1	`u2`
76.1%	1	`cosTheta_i`
76.1%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u1
3.0ms	cosTheta_i
3.0ms	u2

Results

Accuracy	Segments	Branch
73.4%	1	`u2`
73.4%	1	`cosTheta_i`
73.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -19.8b remaining (-179.1%)

Threshold costs -19.8b (-179.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

3.0ms	u2
2.0ms	cosTheta_i
2.0ms	u1

Results

Accuracy	Segments	Branch
65.4%	1	`u2`
65.4%	1	`cosTheta_i`
65.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.01371720526367426	0.014746072702109814

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.01371720526367426	0.014746072702109814

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.01371720526367426	0.014746072702109814

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.025681037455797195	0.026031268760561943

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.025681037455797195	0.026031268760561943

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00022980853100307286	0.00026404394884593785

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0019095883471891284	0.0020506700966507196

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0019095883471891284	0.0020506700966507196

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00018157684826292098	0.00019342235464137048

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative_binary32`
52×	`+-commutative_binary32`
18×	`sub-neg_binary32`
14×	`neg-sub0_binary32`
14×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	480
1	193	480
2	206	480
3	222	480
4	230	480
5	235	480
6	237	480

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 8589935/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13056701/68719476736 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.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))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/24 binary32)) #s(literal -1/12 binary32)))))) u1))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 #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)))))))))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32)))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (.f32 u1 #s(literal -1/12 binary32))))) u1)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))) u1)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 8589935/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 8589935/34359738368 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.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)))))))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 (-.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 8589935/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13056701/68719476736 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13056701/68719476736 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.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))))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness2.1s (16.3%)

Rules

6512×	`-lowering-.f32`
6512×	`-lowering-.f64`
6008×	`-lowering-.f32`
6008×	`-lowering-.f64`
5686×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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	14	33
1	69	33
2	413	33
3	3687	33
0	8147	33
0	306	1745
1	982	1456
2	3477	1338
0	8030	1338
0	53	224
1	311	173
2	2488	158
0	8818	158
0	1135	10043
1	3955	8895
0	8219	8895
0	857	8120
1	2843	6495
0	8787	6495
0	44	202
1	279	191
2	2194	148
0	8464	148

Stop Event

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

Compiler

Compiled 1537 to 990 computations (35.6% saved)

preprocess139.0ms (1.1%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1958 to 894 computations (54.3% saved)

analyze514.0ms (3.9%)

sample2.6s (19.5%)

preprocess73.0ms (0.6%)

explain164.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize55.0ms (0.4%)

series41.0ms (0.3%)

rewrite240.0ms (1.8%)

simplify260.0ms (2%)

eval36.0ms (0.3%)

prune59.0ms (0.5%)

simplify185.0ms (1.4%)

localize658.0ms (5%)

series104.0ms (0.8%)

rewrite403.0ms (3.1%)

simplify353.0ms (2.7%)

eval212.0ms (1.6%)

prune312.0ms (2.4%)

simplify192.0ms (1.5%)

localize230.0ms (1.8%)

series71.0ms (0.5%)

rewrite345.0ms (2.6%)

simplify408.0ms (3.1%)

eval142.0ms (1.1%)

prune223.0ms (1.7%)

simplify192.0ms (1.5%)

localize363.0ms (2.8%)

series61.0ms (0.5%)

rewrite346.0ms (2.6%)

simplify401.0ms (3.1%)

eval124.0ms (1%)

prune262.0ms (2%)

regimes369.0ms (2.8%)

regimes310.0ms (2.4%)

regimes169.0ms (1.3%)

regimes48.0ms (0.4%)

regimes61.0ms (0.5%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes39.0ms (0.3%)

regimes14.0ms (0.1%)

regimes22.0ms (0.2%)

regimes28.0ms (0.2%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

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%)

simplify20.0ms (0.2%)

soundness2.1s (16.3%)

preprocess139.0ms (1.1%)

end0.0ms (0%)

Profiling