Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze437.0ms (3.1%)

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 37 to 24 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

...c/correct-round.rkt:119:19: 95.0ms (34.9% of total)

ival-div: 39.0ms (14.3% of total)

ival-<=: 28.0ms (10.3% of total)

ival-mult: 26.0ms (9.6% of total)

ival-sin: 25.0ms (9.2% of total)

ival-sub: 20.0ms (7.4% of total)

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

ival-and: 10.0ms (3.7% of total)

ival->: 10.0ms (3.7% of total)

const: 1.0ms (0.4% of total)

backward-pass: 1.0ms (0.4% of total)

sample1.9s (13.5%)

Results

1.6s	8256×	0	valid
0.0ms	1×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.2s

...c/correct-round.rkt:119:19: 430.0ms (36.7% of total)

ival-<=: 159.0ms (13.6% of total)

ival-sin: 125.0ms (10.7% of total)

ival-div: 124.0ms (10.6% of total)

ival-mult: 118.0ms (10.1% of total)

ival-sqrt: 70.0ms (6% of total)

ival-sub: 51.0ms (4.4% of total)

ival-and: 48.0ms (4.1% of total)

ival->: 38.0ms (3.2% of total)

const: 5.0ms (0.4% of total)

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

Bogosity

preprocess84.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

878×	`fma-define`
858×	`fnmadd-define`
716×	`sum3-define`
588×	`fmsub-define`
528×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	82	112
2	136	112
3	260	110
4	590	110
5	1271	110
6	2082	110
7	2725	110
8	2899	110
9	3108	110
10	3289	110
11	3337	110
12	3353	110
0	10	11
1	17	11
2	21	11
3	27	11
4	36	11
5	51	11
6	73	11
7	99	11
8	142	11
9	157	11
10	187	11
0	187	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Call 2

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))

Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (fast-sin (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- -1 u1))) (fast-sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (fast-sin (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u1 (- 1 u1))) (fast-sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (fast-sin (* u1 314159265359/50000000000)))

Symmetry

(abs cosTheta_i)

(negabs u2)

explain121.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
-	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
-	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
-	-	`u1`
-	-	`#s(literal 314159265359/50000000000 binary32)`
-	-	`#s(literal 1 binary32)`
-	-	`u2`
-	-	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
-	-	`(-.f32 #s(literal 1 binary32) u1)`
-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Results

81.0ms

512×

valid

Compiler

Compiled 94 to 35 computations (62.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 10.0ms (24.9% of total)

...c/correct-round.rkt:119:19: 10.0ms (24.9% of total)

ival-sin: 9.0ms (22.4% of total)

ival-div: 4.0ms (10% of total)

ival-sqrt: 4.0ms (10% of total)

ival-sub: 3.0ms (7.5% of total)

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f32 #s(literal 1 binary32) u1)
✓	cost-diff	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Rules

76×	`sum3-define`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
32×	`fma-define`
26×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	17	36
2	21	36
3	27	36
4	36	36
5	51	36
6	73	36
7	99	36
8	142	36
9	157	36
10	187	36
0	187	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.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)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize54.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

42.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (21.3% of total)

ival-sin: 4.0ms (21.3% of total)

ival-sub: 2.0ms (10.7% of total)

ival-div: 2.0ms (10.7% of total)

ival-sqrt: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sin (* 314159265359/50000000000 u2))>

Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

rewrite576.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

2974×	`-lowering-.f32`
2974×	`-lowering-.f64`
2024×	`/-lowering-/.f32`
2024×	`/-lowering-/.f64`
1310×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	41	32
2	239	30
3	2064	30
0	9593	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 444

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))

Outputs
(pow.f32 (/.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))))
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(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1)))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

simplify234.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4846×	`-lowering-.f32`
4846×	`-lowering-.f64`
1998×	`fma-lowering-fma.f32`
1998×	`fma-lowering-fma.f64`
1934×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	964
1	652	839
2	2076	765
3	6639	763
0	8169	763

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -5/16 binary32)))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(.f32 u2 (+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (*.f32 u2 u2))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (.f32 u1 (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (.f32 u1 u1)) u1)))) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1)) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval82.0ms (0.6%)

Compiler: Compiled 14630 to 2146 computations (85.3% saved)

prune105.0ms (0.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	501	27	528
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	501	28	529

Accuracy

99.8%

Counts

529 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.6%	(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))))
	88.8%	(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	97.7%	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.3%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.6%	(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.0%	(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.4%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	95.4%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (.f32 (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (+.f32 (.f32 (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	91.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	86.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))

Compiler

Compiled 1432 to 895 computations (37.5% saved)

simplify347.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)))
✓	cost-diff	0	(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	32	(neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
✓	cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))

Rules

1756×	`sum5-define`
1486×	`fnmsub-define`
1246×	`fmsub-define`
1232×	`fma-lowering-fma.f32`
1232×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	287
1	90	264
2	177	264
3	469	260
4	1329	260
5	3139	260
6	6645	260
0	8205	260

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(pow (+ (/ 1 u1) -1) 1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
1/2
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (sqrt (* u1 (+ u1 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* u1 (+ u1 1)))
(* u1 (+ u1 1))
u1
(+ u1 1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))))
(/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))
u1
(/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))
(+ -1 (* u1 (* u1 u1)))
-1
(* u1 (* u1 u1))
(* u1 u1)
(neg (+ 1 (* u1 (+ u1 1))))
(+ 1 (* u1 (+ u1 1)))
1
(* u1 (+ u1 1))
(+ u1 1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2)) (sin (* 314159265359/50000000000 u2)))
(* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2))
(/ 1 (sqrt (+ (* 1 1) (* u1 u1))))
1
(sqrt (+ (* 1 1) (* u1 u1)))
u1
(pow (/ 1 (* u1 (+ u1 1))) -1/2)
(/ 1 (* u1 (+ u1 1)))
(* u1 (+ u1 1))
(+ u1 1)
-1/2
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

Outputs
(/ (sin (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(pow (+ (/ 1 u1) -1) 1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
1/2
#s(literal 1/2 binary32)
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ u1 (- 1 u1)))
(sqrt.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)
(* (sqrt (* u1 (+ u1 1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(sqrt (* u1 (+ u1 1)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ u1 1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))
(sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))))
(sqrt.f32 (/.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))
(/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))
(/.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
u1
(/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+ -1 (* u1 (* u1 u1)))
(+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))
-1
#s(literal -1 binary32)
(* u1 (* u1 u1))
(.f32 u1 (.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(neg (+ 1 (* u1 (+ u1 1))))
(-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(+ 1 (* u1 (+ u1 1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(* u1 (+ u1 1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2)) (sin (* 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (hypot.f32 #s(literal 1 binary32) u1)))
(* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2))
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)) (hypot.f32 #s(literal 1 binary32) u1))
(/ 1 (sqrt (+ (* 1 1) (* u1 u1))))
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(sqrt (+ (* 1 1) (* u1 u1)))
(hypot.f32 #s(literal 1 binary32) u1)
u1
(pow (/ 1 (* u1 (+ u1 1))) -1/2)
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))
(/ 1 (* u1 (+ u1 1)))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ u1 1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
-1/2
#s(literal -1/2 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize300.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.0%	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.7%	(/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))

Results

234.0ms

256×

valid

Compiler

Compiled 317 to 38 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 41.0ms (33.9% of total)

compiled-spec: 30.0ms (24.8% of total)

ival-div: 13.0ms (10.7% of total)

ival-pow: 10.0ms (8.3% of total)

ival-sqrt: 7.0ms (5.8% of total)

ival-add: 6.0ms (5% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.1% of total)

ival-sin: 4.0ms (3.3% of total)

ival-neg: 2.0ms (1.7% of total)

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

const: 1.0ms (0.8% of total)

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

series37.0ms (0.3%)

Counts

20 → 300

Calls

Call 1

Inputs
#<alt (/ (sin (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (pow (+ (/ 1 u1) -1) 1/2)>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (* (sqrt (* u1 (+ u1 1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* u1 (+ u1 1)))>
#<alt (* u1 (+ u1 1))>
#<alt (+ u1 1)>
#<alt (neg (+ 1 (* u1 (+ u1 1))))>
#<alt (* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))))>
#<alt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))>
#<alt (* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2))>
#<alt (* (* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2)) (sin (* 314159265359/50000000000 u2)))>
#<alt (/ 1 (sqrt (+ (* 1 1) (* u1 u1))))>
#<alt (sqrt (+ (* 1 1) (* u1 u1)))>
#<alt (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))>

Outputs
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
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#<alt (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1))) u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow u1 2)))>
#<alt (+ 1 (* (pow u1 2) (- (* 3/8 (pow u1 2)) 1/2)))>
#<alt (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 3/8 (* -5/16 (pow u1 2)))) 1/2)))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1)>
#<alt (/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1)>
#<alt (/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1)>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1))>
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1))>
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow u1 2)))>
#<alt (+ 1 (* (pow u1 2) (+ 1/2 (* -1/8 (pow u1 2)))))>
#<alt (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (- (* 1/16 (pow u1 2)) 1/8)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2)))))>
#<alt (* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4))))>
#<alt (* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4))))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2))))))>
#<alt (* -1 (* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4)))))>
#<alt (* -1 (* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4)))))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
3.0ms	u1	@	-inf	(pow (+ (/ 1 u1) -1) 1/2)
2.0ms	u2	@	-inf	(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))

rewrite348.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3754×	`/-lowering-/.f32`
3754×	`/-lowering-/.f64`
2968×	`-lowering-.f32`
2968×	`-lowering-.f64`
1416×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	149
1	215	125
2	1508	122
0	8753	122

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 778

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(pow (+ (/ 1 u1) -1) 1/2)
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(* (sqrt (* u1 (+ u1 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* u1 (+ u1 1)))
(* u1 (+ u1 1))
(+ u1 1)
(neg (+ 1 (* u1 (+ u1 1))))
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))))
(/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1))))))
(* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2))
(* (* (/ 1 (sqrt (+ (* 1 1) (* u1 u1)))) (pow (/ 1 (* u1 (+ u1 1))) -1/2)) (sin (* 314159265359/50000000000 u2)))
(/ 1 (sqrt (+ (* 1 1) (* u1 u1))))
(sqrt (+ (* 1 1) (* u1 u1)))
(/ (+ -1 (* u1 (* u1 u1))) (neg (+ 1 (* u1 (+ u1 1)))))

Outputs
(neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 #s(literal -1 binary32) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))))
(.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))))
(neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(neg.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
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(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (/.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 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))

simplify392.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6288×	`-lowering-.f32`
6288×	`-lowering-.f64`
3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
1880×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	4483
1	2404	3788
0	8395	3788

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* 1/16 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* u1 (+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* u1 (+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))))
(* -1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (pow (sqrt -1) 2)))) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* -1/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (pow (sqrt -1) 4))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1))))))))))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* -1 (* u1 (pow (sqrt -1) 2)))
(* -1 (* u1 (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/8 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
1
(+ 1 u1)
(+ 1 u1)
(+ 1 u1)
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (* u1 (+ 1 u1)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 5/8 (* 3/16 (/ 1 u1))) (pow u1 2))) (* 1/2 (/ 1 u1))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1))) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1))) u1)) (pow (sqrt -1) 2))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
1
(+ 1 (* -1/2 (pow u1 2)))
(+ 1 (* (pow u1 2) (- (* 3/8 (pow u1 2)) 1/2)))
(+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 3/8 (* -5/16 (pow u1 2)))) 1/2)))
(/ 1 u1)
(/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1)
(/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1)
(/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1)
(/ -1 u1)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1))
(* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1))
(* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1))
1
(+ 1 (* 1/2 (pow u1 2)))
(+ 1 (* (pow u1 2) (+ 1/2 (* -1/8 (pow u1 2)))))
(+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (- (* 1/16 (pow u1 2)) 1/8)))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2)))))
(* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4))))
(* -1 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2))))))
(* -1 (* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4)))))
(* -1 (* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4)))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))

Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 u2 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
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(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))))))))
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1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 u1)))
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(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
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(pow (sqrt -1) 2)
#s(literal -1 binary32)
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1))) u1)) (pow (sqrt -1) 2))
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -5/8 binary32) u1)) u1))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1))) u1)) (pow (sqrt -1) 2))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
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(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
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(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
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(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))
(.f32 u2 (+.f32 (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))))))
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(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (pow u1 2)))
(+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))))
(+ 1 (* (pow u1 2) (- (* 3/8 (pow u1 2)) 1/2)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (.f32 (.f32 u1 u1) #s(literal 3/8 binary32)))))
(+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 3/8 (* -5/16 (pow u1 2)))) 1/2)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 3/8 binary32) (.f32 (.f32 u1 u1) #s(literal -5/16 binary32))))))))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) u1)
(/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1)
(/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) u1)
(/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/16 binary32) (pow.f32 u1 #s(literal 6 binary32))))) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow u1 2)))) u1))
(-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) u1))
(* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (* 1/2 (/ 1 (pow u1 2)))) u1))
(/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (neg.f32 u1))
(* -1 (/ (- (+ 1 (/ 3/8 (pow u1 4))) (+ (* 1/2 (/ 1 (pow u1 2))) (* 5/16 (/ 1 (pow u1 6))))) u1))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/16 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (neg.f32 u1))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow u1 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))
(+ 1 (* (pow u1 2) (+ 1/2 (* -1/8 (pow u1 2)))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u1 u1) #s(literal -1/8 binary32))))))
(+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (- (* 1/16 (pow u1 2)) 1/8)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4))))
(.f32 u1 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4))))
(.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 (pow u1 2))))))
(neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* -1 (* u1 (- (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (/ 1/8 (pow u1 4)))))
(.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
(* -1 (* u1 (- (+ 1 (+ (* 1/2 (/ 1 (pow u1 2))) (* 1/16 (/ 1 (pow u1 6))))) (/ 1/8 (pow u1 4)))))
(.f32 (neg.f32 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(.f32 u1 (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(.f32 u1 (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(.f32 u1 (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))

eval193.0ms (1.4%)

Compiler: Compiled 34760 to 4412 computations (87.3% saved)

prune328.0ms (2.3%)

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	1398	41	1439
Fresh	14	8	22
Picked	3	2	5
Done	0	1	1
Total	1415	52	1467

Accuracy

99.9%

Counts

1467 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
	94.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.8%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	89.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	81.6%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
▶	98.4%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
▶	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
	74.8%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	86.4%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
	81.6%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
	81.5%	(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
	21.2%	(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	21.2%	(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
	81.4%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
	98.2%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) u1))))
	81.4%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
✓	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	81.3%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))))
	81.4%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
▶	75.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
	72.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	63.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
	80.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
	94.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	91.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.3%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 u1) #s(literal -1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	81.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	78.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓	86.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
	91.9%	(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	19.8%	(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
▶	20.2%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Compiler

Compiled 2001 to 1440 computations (28% saved)

simplify167.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	64	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
✓	cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
✓	cost-diff	64	(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))

Rules

2224×	`+-lowering-+.f64`
2224×	`+-lowering-+.f32`
2018×	`sum4-define`
1724×	`-lowering-.f32`
1724×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	280
1	109	252
2	346	252
3	998	252
4	2447	252
5	4081	252
6	7161	252
0	8145	252

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4)
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
1/4
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (* 314159265359/50000000000 u2) (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
u1
(+ 1 (* u1 (+ 1 u1)))
1
(* u1 (+ 1 u1))
(+ 1 u1)
(* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))
(sqrt (* u1 (+ u1 1)))
(* u1 (+ u1 1))
u1
(+ u1 1)
1
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))
314159265359/50000000000
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))
(* u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
-31006276680305942139213528068663279/750000000000000000000000000000000
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
(+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
(* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
(/ (sin (* 314159265359/50000000000 u2)) (/ 1 (pow (+ (/ 1 u1) -1) -1/2)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ 1 (pow (+ (/ 1 u1) -1) -1/2))
1
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
u1
-1
-1/2

Outputs
(/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)) #s(literal 1/4 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)) #s(literal 1/4 binary32))
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
1/4
#s(literal 1/4 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (* 314159265359/50000000000 u2) (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (* u1 (+ 1 (* u1 (+ 1 u1)))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
u1
(+ 1 (* u1 (+ 1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 u2 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(sqrt (* u1 (+ u1 1)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ u1 1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))
(+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))
(.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(* u2 u2)
(*.f32 u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
(+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))
(+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(/ (sin (* 314159265359/50000000000 u2)) (/ 1 (pow (+ (/ 1 u1) -1) -1/2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ 1 (pow (+ (/ 1 u1) -1) -1/2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
1
#s(literal 1 binary32)
(pow (+ (/ 1 u1) -1) -1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
u1
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)

localize314.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
✓	accuracy	99.0%	(.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
✓	accuracy	98.3%	(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.0%	(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
✓	accuracy	98.5%	(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))

Results

226.0ms

256×

valid

Compiler

Compiled 330 to 41 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 21.0ms (27% of total)

...c/correct-round.rkt:119:19: 19.0ms (24.4% of total)

ival-div: 10.0ms (12.8% of total)

ival-pow: 10.0ms (12.8% of total)

ival-add: 9.0ms (11.6% of total)

ival-sin: 4.0ms (5.1% of total)

ival-sqrt: 4.0ms (5.1% of total)

const: 1.0ms (1.3% of total)

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

series101.0ms (0.7%)

Counts

17 → 252

Calls

Call 1

Inputs
#<alt (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))>
#<alt (/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))>
#<alt (sqrt (* u1 (+ u1 1)))>
#<alt (* u1 (+ u1 1))>
#<alt (+ u1 1)>
#<alt (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (pow (+ (/ 1 u1) -1) -1/2)))>
#<alt (/ 1 (pow (+ (/ 1 u1) -1) -1/2))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)>
#<alt (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))>
#<alt (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>

Outputs
#<alt (/ 1 (pow u1 2))>
#<alt (/ (+ 1 (* -2 u1)) (pow u1 2))>
#<alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2))>
#<alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
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#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1))))))))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 7)))>
#<alt (* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))))))>
#<alt (* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2))))))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 7)))>
#<alt (* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))))))>
#<alt (* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1))))))))>
#<alt (* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* -314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 6)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1))))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 (/ 1 u1))))>
#<alt (* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))>
#<alt (* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))>
#<alt (* -1 (* u1 (pow (sqrt -1) 2)))>
#<alt (* -1 (* u1 (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/8 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))>
#<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 1>
#<alt (+ 1 u1)>
#<alt (+ 1 u1)>
#<alt (+ 1 u1)>
#<alt u1>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt (* u1 (+ 1 (/ 1 u1)))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -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 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>

Calls

63 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	0	(/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
13.0ms	u1	@	0	(/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
11.0ms	u2	@	inf	(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
2.0ms	u1	@	0	(* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))
1.0ms	u1	@	-inf	(* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))

rewrite697.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3278×	`-lowering-.f32`
3278×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
2152×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	135
1	247	116
2	1983	116
0	8707	116

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 543

Calls

Call 1

Inputs
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(/ (sin (* 314159265359/50000000000 u2)) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* (* 314159265359/50000000000 u2) (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* (sqrt (* u1 (+ u1 1))) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))))
(sqrt (* u1 (+ u1 1)))
(* u1 (+ u1 1))
(+ u1 1)
(/ (sin (* 314159265359/50000000000 u2)) (/ 1 (pow (+ (/ 1 u1) -1) -1/2)))
(/ 1 (pow (+ (/ 1 u1) -1) -1/2))
(* u1 (+ 1 u1))
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
(* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))

Outputs
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 2 binary32)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
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(/.f32 (.f32 (.f32 u2 u2) (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
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(/.f32 (neg.f32 (.f32 (.f32 u2 u2) (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (neg.f32 (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (neg.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2))) (neg.f32 (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))) (neg.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
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(.f32 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) u2)
(.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
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(.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)

simplify426.0ms (3%)

Algorithm

1×	egg-herbie

Rules

5602×	`-lowering-.f32`
5602×	`-lowering-.f64`
2274×	`+-lowering-+.f64`
2274×	`+-lowering-+.f32`
1458×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	3958
1	1804	3159
2	7107	3148
0	8219	3148

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 (* u1 (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/400000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) u2))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) u2)))))
(* (pow u1 2) (+ (* -314159265359/400000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) u2))))))
(* 314159265359/50000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* 314159265359/400000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))) (pow u1 3))) (* 314159265359/50000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/16 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))
(* u1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* u1 (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* u1 (+ (* -1/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* u1 (+ (* -1/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (+ (* 1/16 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 3))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* -1 (* u1 (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* u1 (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (pow (sqrt -1) 2)))) (* 1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow (sqrt -1) 2))) (* -1/16 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (pow (sqrt -1) 4))))) u1)) (* 1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1))))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 7)))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (pow u2 7)))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1))))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* -314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 6)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 u1)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* -1 (* u1 (pow (sqrt -1) 2)))
(* -1 (* u1 (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/8 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
1
(+ 1 u1)
(+ 1 u1)
(+ 1 u1)
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))

Outputs
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) (.f32 u1 u1))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal -2 binary32)))) (.f32 u1 u1))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal -2 binary32)))) (.f32 u1 u1))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 u2 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(* 314159265359/50000000000 (* (sqrt (* u1 (+ 1 u1))) u2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/8 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) u1)) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1/8 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal -1/8 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/16 binary32))))))) u1)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (.f32 u1 (.f32 u1 u1))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) u1) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 u1)) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))

eval144.0ms (1%)

Compiler: Compiled 28357 to 2757 computations (90.3% saved)

prune207.0ms (1.5%)

Pruning

74 alts after pruning (69 fresh and 5 done)

	Pruned	Kept	Total
New	847	32	879
Fresh	7	37	44
Picked	3	2	5
Done	0	3	3
Total	857	74	931

Accuracy

99.9%

Counts

931 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
	82.4%	(/.f32 (.f32 (.f32 u2 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	94.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.8%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.6%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
	89.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
▶	89.2%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	89.0%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
	81.6%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	81.6%	(/.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
	97.8%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)))
	85.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))
	79.3%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1/4 binary32)))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
▶	74.8%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
▶	98.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	96.2%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	86.4%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.6%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
	83.0%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	81.5%	(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
	21.2%	(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	21.2%	(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.2%	(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 (sqrt.f32 u1)))
	19.9%	(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
	81.5%	(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
	75.1%	(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
	83.0%	(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) u2)
	81.4%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
	98.2%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
	4.9%	(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) u1))))
✓	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	81.4%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	75.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))
✓	75.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
	64.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
	72.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	19.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
	80.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
	94.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	91.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.3%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 u1) #s(literal -1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.0%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 u1) u1)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
	81.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	78.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓	86.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.2%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	74.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	21.2%	(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	81.6%	(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
	91.9%	(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	19.8%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
	20.2%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	20.0%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	21.2%	(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
	19.9%	(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	63.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
▶	19.7%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	20.2%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Compiler

Compiled 3563 to 2286 computations (35.8% saved)

simplify171.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))
✓	cost-diff	0	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
✓	cost-diff	0	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
✓	cost-diff	64	(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	cost-diff	0	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Rules

2048×	`sum4-define`
1810×	`sum3-define`
1618×	`fnmadd-define`
1514×	`sum5-define`
1296×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	154
1	55	151
2	109	151
3	217	151
4	346	151
5	705	151
6	1642	151
7	3552	151
8	6277	151
9	6941	151
10	6993	151
11	7148	151
12	7302	151
13	7473	151
0	7473	151

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (pow (+ (/ 1 u1) -1) -1/2) (* 314159265359/50000000000 u2))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
-1/2
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))))
u2
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))
314159265359/50000000000
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))
-31006276680305942139213528068663279/750000000000000000000000000000000
(* u2 u2)
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4)
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
1/4
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ 1 u1))
(/ 1 u1)
1
u1

Outputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (+ (/ 1 u1) -1))
(sqrt.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(+ (/ 1 u1) -1)
(-.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
#s(literal -1 binary32)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (pow (+ (/ 1 u1) -1) -1/2) (* 314159265359/50000000000 u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (pow.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1/2 binary32))))
(pow (+ (/ 1 u1) -1) -1/2)
(pow.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1/2 binary32))
(+ (/ 1 u1) -1)
(-.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
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)) #s(literal 1/4 binary32)))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
u2
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))
(+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))
(.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* u2 u2)
(*.f32 u2 u2)
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)) #s(literal 1/4 binary32))
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1))
(+ (/ 1 u1) -1)
(-.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
#s(literal -1 binary32)
1/4
#s(literal 1/4 binary32)
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1

localize214.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.2%	(+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))
✓	accuracy	99.1%	(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
✓	accuracy	98.9%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
✓	accuracy	98.5%	(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	accuracy	99.7%	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	accuracy	99.6%	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓	accuracy	99.0%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	accuracy	99.6%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Results

161.0ms

256×

valid

Compiler

Compiled 194 to 27 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

...c/correct-round.rkt:119:19: 27.0ms (41.3% of total)

ival-mult: 10.0ms (15.3% of total)

ival-pow: 10.0ms (15.3% of total)

ival-div: 7.0ms (10.7% of total)

ival-sin: 4.0ms (6.1% of total)

ival-sqrt: 4.0ms (6.1% of total)

ival-add: 3.0ms (4.6% of total)

const: 1.0ms (1.5% of total)

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

series18.0ms (0.1%)

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (+ (/ 1 u1) -1))>
#<alt (* (pow (+ (/ 1 u1) -1) -1/2) (* 314159265359/50000000000 u2))>
#<alt (pow (+ (/ 1 u1) -1) -1/2)>
#<alt (+ (/ 1 u1) -1)>
#<alt (/ 1 u1)>
#<alt (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))>
#<alt (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))>
#<alt (/ (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))>

Outputs
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -314159265359/100000000000 (/ (* u2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<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 (/ 1 (pow u1 2))>
#<alt (/ (+ 1 (* -2 u1)) (pow u1 2))>
#<alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2))>
#<alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))>
#<alt (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))>
#<alt (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))>
#<alt (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (sqrt -1)))) (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (sqrt -1))) (* -1/2 (/ (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt 314159265359/50000000000>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
1.0ms	u2	@	inf	(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
1.0ms	u1	@	0	(/ (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
1.0ms	u2	@	0	(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
1.0ms	u1	@	0	(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))

rewrite323.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4572×	`-lowering-.f32`
4572×	`-lowering-.f64`
3704×	`/-lowering-/.f32`
3704×	`/-lowering-/.f64`
1816×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	94
1	134	85
2	904	85
0	8733	85

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 693

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(sqrt (+ (/ 1 u1) -1))
(* (pow (+ (/ 1 u1) -1) -1/2) (* 314159265359/50000000000 u2))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))) (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) 1/4))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
(sqrt (/ 1 u1))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2))

Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(.f32 (pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
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(.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32))))))
(.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 #s(literal 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (neg.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32)))))))
(.f32 (neg.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/50000000000 binary32))))
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/4 binary32))))
(.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(fabs.f32 (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 u1 #s(literal -1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32))
(/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/4 binary32))) (pow.f32 u1 #s(literal -1/4 binary32)))
(.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(.f32 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2)

simplify308.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6774×	`-lowering-.f32`
6774×	`-lowering-.f64`
2786×	`+-lowering-+.f64`
2786×	`+-lowering-+.f32`
1624×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	2979
1	1445	2367
2	5357	2347
0	8738	2347

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* 314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -314159265359/100000000000 (/ (* u2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (sqrt -1)))) (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (sqrt -1))) (* -1/2 (/ (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))

Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 u2 (+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 u2 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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314159265359/50000000000
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))

eval133.0ms (0.9%)

Compiler: Compiled 38276 to 3663 computations (90.4% saved)

prune327.0ms (2.3%)

Pruning

82 alts after pruning (74 fresh and 8 done)

	Pruned	Kept	Total
New	1318	32	1350
Fresh	22	42	64
Picked	2	3	5
Done	0	5	5
Total	1342	82	1424

Accuracy

100.0%

Counts

1424 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
	88.6%	(/.f32 (.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) u2) (.f32 (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
	88.8%	(/.f32 (.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) u2) (.f32 (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
	89.0%	(/.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)))) (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	88.6%	(/.f32 (.f32 u2 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	72.2%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	94.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	91.6%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
	70.5%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	91.8%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	77.9%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) u1) u1) #s(literal 1/4 binary32)))
	89.2%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1/4 binary32)))
	89.0%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
	68.6%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	89.1%	(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	81.6%	(/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
	63.9%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	81.6%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
	85.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))
	79.3%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1/4 binary32)))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	74.9%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
	93.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)))) (exp.f32 (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))))
	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1))))))
✓	98.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	96.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))))
	73.4%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 u1) #s(literal -1/2 binary32))))
	89.2%	(/.f32 u2 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
	88.9%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	72.8%	(.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
	81.5%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
	63.9%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
	89.1%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
✓	81.6%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
	83.0%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	81.6%	(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
	21.2%	(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	21.2%	(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.2%	(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 (sqrt.f32 u1)))
	19.9%	(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
	89.2%	(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
	89.2%	(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
	81.6%	(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
	81.5%	(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
	75.1%	(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
	83.0%	(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) u2)
	4.9%	(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
✓	81.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	75.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
	64.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
	72.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	19.5%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
	85.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	91.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	89.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.3%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 u1) #s(literal -1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
	81.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
	78.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓	86.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.2%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	68.7%	(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	74.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	21.2%	(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	19.8%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
	20.2%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	20.0%	(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
	89.2%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
	21.2%	(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
	19.9%	(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	63.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
✓	19.7%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	20.2%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Compiler

Compiled 4779 to 1810 computations (62.1% saved)

regimes387.0ms (2.7%)

Counts

133 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
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(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)))) (exp.f32 (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))))
(+.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))))

Outputs

(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))

Calls

8 calls:

86.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
60.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
39.0ms	u1
38.0ms	u2
36.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes254.0ms (1.8%)

Counts

103 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 u2 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) u1) u1) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) u1))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)))) (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
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(.f32 (sqrt.f32 (+.f32 (.f32 u1 u1) u1)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) u2)
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) u2) (.f32 (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 u2 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) u2) (.f32 (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 (.f32 u2 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
(.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Calls

8 calls:

32.0ms	u2
31.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
30.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
29.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
29.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes219.0ms (1.5%)

Counts

89 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 u2 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) u1) u1) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) u1))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)))) (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 u1) u1)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) u2)
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) u2) (.f32 (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 u2 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) u2) (.f32 (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 (.f32 u2 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
26.0ms	u2
26.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`u1`
98.4%	1	`u2`
98.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes195.0ms (1.4%)

Counts

88 → 2

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
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(/.f32 (.f32 u2 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 (+.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 u2 (.f32 u2 u2))))) u2) (.f32 (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 binary32)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 (.f32 u2 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

7 calls:

31.0ms	u2
26.0ms	u1
25.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
25.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.4%	2	`u2`
97.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
94.2%	1	`cosTheta_i`
94.2%	1	`u1`
94.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes180.0ms (1.3%)

Counts

87 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
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(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (.f32 (+.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2)) (+.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(/.f32 (.f32 (.f32 u2 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (-.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (+.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (-.f32 (.f32 (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

Calls

7 calls:

25.0ms	u1
25.0ms	cosTheta_i
25.0ms	u2
24.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
94.2%	1	`cosTheta_i`
94.2%	1	`u1`
94.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.2%	1	`u2`
94.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes142.0ms (1%)

Counts

67 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 u2 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) u1) u1) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) u1))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)))) (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 u1) u1)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))

Calls

7 calls:

20.0ms	cosTheta_i
20.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
19.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
91.8%	1	`u2`
91.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
91.8%	1	`cosTheta_i`
91.8%	1	`u1`
91.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.8%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes113.0ms (0.8%)

Counts

53 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 u2 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))) (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -2 binary32))) u1) u1) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))

Outputs

(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))

Calls

7 calls:

16.0ms	cosTheta_i
16.0ms	u1
16.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
15.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
89.2%	1	`u2`
89.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.2%	1	`cosTheta_i`
89.2%	1	`u1`
89.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes81.0ms (0.6%)

Counts

36 → 2

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)

Outputs

(*.f32 (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))

(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))

Calls

7 calls:

12.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms	cosTheta_i
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	u2

Results

Accuracy	Segments	Branch
81.6%	1	`cosTheta_i`
85.2%	2	`u1`
85.5%	2	`u2`
85.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
85.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
85.0%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
85.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes66.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))

Outputs
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))

Calls

7 calls:

9.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms	cosTheta_i
9.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
81.6%	1	`cosTheta_i`
81.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.6%	1	`u1`
81.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.6%	1	`u2`
81.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes53.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)

Outputs
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Calls

7 calls:

8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
81.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.6%	1	`u1`
81.6%	1	`u2`
81.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
81.6%	1	`cosTheta_i`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes49.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) #s(literal -314159265359/50000000000 binary32))

Outputs
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Calls

7 calls:

7.0ms	cosTheta_i
7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms	u1
7.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
81.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.5%	1	`u1`
81.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.5%	1	`u2`
81.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
81.5%	1	`cosTheta_i`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes36.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))

Outputs
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))

Calls

5 calls:

9.0ms	u2
8.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	u1
6.0ms	cosTheta_i
5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
72.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
72.1%	1	`cosTheta_i`
72.1%	1	`u2`
72.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
72.1%	1	`u1`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes31.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))

Outputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))

Calls

5 calls:

8.0ms	u1
5.0ms	cosTheta_i
5.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u2

Results

Accuracy	Segments	Branch
63.9%	1	`cosTheta_i`
63.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.9%	1	`u1`
63.9%	1	`u2`
63.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes25.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Outputs

(*.f32 u1 (+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (*.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (*.f32 u2 #s(literal 1/2 binary32))) u1)))

Calls

5 calls:

6.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	cosTheta_i
4.0ms	u1
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	u2

Results

Accuracy	Segments	Branch
21.2%	1	`cosTheta_i`
21.2%	1	`u2`
21.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
21.2%	1	`u1`
21.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes16.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Outputs

(*.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Calls

4 calls:

5.0ms	u2
3.0ms	cosTheta_i
3.0ms	u1
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
21.2%	1	`u1`
21.2%	1	`u2`
21.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
21.2%	1	`cosTheta_i`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Outputs

(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Calls

4 calls:

4.0ms	cosTheta_i
3.0ms	u1
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	u2

Results

Accuracy	Segments	Branch
21.2%	1	`cosTheta_i`
21.2%	1	`u2`
21.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
21.2%	1	`u1`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u1 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u1 u2))

Outputs

(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

Calls

4 calls:

3.0ms	u1
3.0ms	cosTheta_i
3.0ms	u2
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
20.2%	1	`cosTheta_i`
20.2%	1	`u1`
20.2%	1	`u2`
20.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes32.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))

(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))

Outputs
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))

Calls

4 calls:

26.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	u2
2.0ms	cosTheta_i
2.0ms	u1

Results

Accuracy	Segments	Branch
20.0%	1	`cosTheta_i`
20.0%	1	`u2`
20.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
20.0%	1	`u1`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Calls

4 calls:

1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	u2
1.0ms	u1
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
19.7%	1	`cosTheta_i`
19.7%	1	`u1`
19.7%	1	`u2`
19.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7167195677757263	0.731515109539032

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012941794469952583	0.013868787325918674

Compiler

Compiled 20 to 16 computations (20% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

122×	`*-commutative_binary32`
76×	`+-commutative_binary32`
44×	`sub-neg_binary32`
42×	`neg-sub0_binary32`
42×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	364
1	163	364
2	183	364
3	209	364
4	227	364
5	248	364
6	265	364
7	282	364
8	294	364
9	309	364
10	321	364
11	327	364
12	330	364
13	331	364

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3019899/4194304 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3489661/268435456 binary32)) (.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Outputs
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3019899/4194304 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3019899/4194304 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3489661/268435456 binary32)) (.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3489661/268435456 binary32)) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 u1 (+.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (.f32 u2 #s(literal 1/2 binary32))) u1)))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)))) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (.f32 u2 (-.f32 (.f32 (.f32 u2 u2) (-.f32 (.f32 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (+.f32 u1 #s(literal 1/2 binary32)) (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (+.f32 u1 #s(literal 1/2 binary32)))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

soundness3.0s (21.2%)

Rules

6774×	`-lowering-.f32`
6774×	`-lowering-.f64`
6288×	`-lowering-.f32`
6288×	`-lowering-.f64`
5602×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	3958
1	1804	3159
2	7107	3148
0	8219	3148
0	25	94
1	134	85
2	904	85
0	8733	85
0	202	964
1	652	839
2	2076	765
3	6639	763
0	8169	763
0	713	4483
1	2404	3788
0	8395	3788
0	411	2979
1	1445	2367
2	5357	2347
0	8738	2347
0	38	149
1	215	125
2	1508	122
0	8753	122
0	10	32
1	41	32
2	239	30
3	2064	30
0	9593	30

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×	node limit

Compiler

Compiled 922 to 515 computations (44.1% saved)

preprocess116.0ms (0.8%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1352 to 610 computations (54.9% saved)

Iter	Nodes	Cost
0	10	36
1	17	36
2	21	36
3	27	36
4	36	36
5	51	36
6	73	36
7	99	36
8	142	36
9	157	36
10	187	36
0	187	36

Iter	Nodes	Cost
0	94	364
1	163	364
2	183	364
3	209	364
4	227	364
5	248	364
6	265	364
7	282	364
8	294	364
9	309	364
10	321	364
11	327	364
12	330	364
13	331	364

Iter	Nodes	Cost
0	10	36
1	17	36
2	21	36
3	27	36
4	36	36
5	51	36
6	73	36
7	99	36
8	142	36
9	157	36
10	187	36
0	187	36

Iter	Nodes	Cost
0	94	364
1	163	364
2	183	364
3	209	364
4	227	364
5	248	364
6	265	364
7	282	364
8	294	364
9	309	364
10	321	364
11	327	364
12	330	364
13	331	364

analyze437.0ms (3.1%)

sample1.9s (13.5%)

preprocess84.0ms (0.6%)

explain121.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize54.0ms (0.4%)

series8.0ms (0.1%)

rewrite576.0ms (4%)

simplify234.0ms (1.6%)

eval82.0ms (0.6%)

prune105.0ms (0.7%)

simplify347.0ms (2.4%)

localize300.0ms (2.1%)

series37.0ms (0.3%)

rewrite348.0ms (2.4%)

simplify392.0ms (2.8%)

eval193.0ms (1.4%)

prune328.0ms (2.3%)

simplify167.0ms (1.2%)

localize314.0ms (2.2%)

series101.0ms (0.7%)

rewrite697.0ms (4.9%)

simplify426.0ms (3%)

eval144.0ms (1%)

prune207.0ms (1.5%)

simplify171.0ms (1.2%)

localize214.0ms (1.5%)

series18.0ms (0.1%)

rewrite323.0ms (2.3%)

simplify308.0ms (2.2%)

eval133.0ms (0.9%)

prune327.0ms (2.3%)

regimes387.0ms (2.7%)

regimes254.0ms (1.8%)

regimes219.0ms (1.5%)

regimes195.0ms (1.4%)

regimes180.0ms (1.3%)

regimes142.0ms (1%)

regimes113.0ms (0.8%)

regimes81.0ms (0.6%)

regimes66.0ms (0.5%)

regimes53.0ms (0.4%)

regimes49.0ms (0.3%)

regimes36.0ms (0.3%)

regimes31.0ms (0.2%)

regimes25.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes32.0ms (0.2%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify47.0ms (0.3%)

soundness3.0s (21.2%)

preprocess116.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	36
1	17	36
2	21	36
3	27	36
4	36	36
5	51	36
6	73	36
7	99	36
8	142	36
9	157	36
10	187	36
0	187	36

Iter	Nodes	Cost
0	94	364
1	163	364
2	183	364
3	209	364
4	227	364
5	248	364
6	265	364
7	282	364
8	294	364
9	309	364
10	321	364
11	327	364
12	330	364
13	331	364