Metrics for Trowbridge-Reitz Sample, sample surface normal, cosTheta

analyze1.6s (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
25%	0%	0%	100%	0%	0%	0%	3
25%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
37.5%	0%	0%	100%	0%	0%	0%	6
56.3%	0%	0%	100%	0%	0%	0%	7
56.3%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
65.6%	0%	0%	100%	0%	0%	0%	10
76.6%	0%	0%	100%	0%	0%	0%	11
76.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 123 to 87 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 943.0ms

Operation ival-mult, time spent: 227.0ms, 24.0% of total-time

Operation ival-tan, time spent: 172.0ms, 18.0% of total-time

Operation ival-atan, time spent: 134.0ms, 14.0% of total-time

Operation ival-cos, time spent: 114.0ms, 12.0% of total-time

Operation ival-sin, time spent: 93.0ms, 10.0% of total-time

Operation ival-<=, time spent: 60.0ms, 6.0% of total-time

Operation ival-div, time spent: 48.0ms, 5.0% of total-time

Operation ival-add, time spent: 42.0ms, 4.0% of total-time

Operation const, time spent: 16.0ms, 2.0% of total-time

Operation ival-and, time spent: 11.0ms, 1.0% of total-time

Operation ival-pi, time spent: 10.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 1.0% of total-time

Operation ival-sub, time spent: 7.0ms, 1.0% of total-time

sample11.1s (10.2%)

Results

9.2s

8256×

256

valid

Precisions

Click to see histograms. Total time spent on operations: 7.7s

Operation ival-mult, time spent: 1.8s, 24.0% of total-time

Operation ival-tan, time spent: 1.5s, 19.0% of total-time

Operation ival-atan, time spent: 1.0s, 13.0% of total-time

Operation ival-sin, time spent: 852.0ms, 11.0% of total-time

Operation ival-div, time spent: 717.0ms, 9.0% of total-time

Operation ival-cos, time spent: 679.0ms, 9.0% of total-time

Operation ival-<=, time spent: 481.0ms, 6.0% of total-time

Operation ival-add, time spent: 279.0ms, 4.0% of total-time

Operation const, time spent: 104.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 77.0ms, 1.0% of total-time

Operation ival-and, time spent: 67.0ms, 1.0% of total-time

Operation ival-sub, time spent: 48.0ms, 1.0% of total-time

Operation ival-pi, time spent: 45.0ms, 1.0% of total-time

Bogosity

preprocess4.9s (4.5%)

Algorithm

1×	egg-herbie

Rules

1544×	`unsub-neg`
1032×	`associate-/r*`
840×	`fma-define`
814×	`div-sub`
774×	`times-frac`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	2	(5.7165936595993116e-5 0.0008099732222035527 0.006950982380658388 0.0070223212242126465)	7	(0.4448770582675934 0.0021056898403912783 0.6665133833885193 0.00033716115285642445)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
188	3	(3.759273795367335e-6 0.00015971432731021196 0.9984655380249023 0.10625889152288437)	9	(0.0005305853555910289 0.00018059024296235293 0.98277747631073 0.06497453898191452)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	`(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
0	0	-	0	-	`alphay`
0	0	-	0	-	`(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))`
0	0	-	0	-	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
0	0	-	0	-	`(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))`
0	0	-	0	-	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
0	0	-	0	-	`(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))`
0	0	-	0	-	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 alphay alphay)`
0	0	-	0	-	`(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
0	0	-	0	-	`(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
0	0	-	0	-	`u0`
0	0	-	0	-	`alphax`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 #s(literal 1/2 binary32) (PI.f32))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
0	0	-	0	-	`#s(literal 1/2 binary32)`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
0	0	-	0	-	`(/.f32 alphay alphax)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
0	0	-	0	-	`(*.f32 alphax alphax)`
0	0	-	0	-	`(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	5376
1	516	5176
2	1118	4912
3	3472	4656
4	6926	4656

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 #s(literal 1 binary32) (neg.f32 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u0) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u0) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u0) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u0) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 u0 u0)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) alphax) (-.f32 #s(literal 1 binary32) alphax)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u0 u0)))) alphay) (-.f32 #s(literal 1 binary32) alphay)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphax) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphax) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 u1 u1)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphax) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphax) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphay) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphay) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphay) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) alphay) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (.f32 alphay alphay))) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (*.f32 alphax alphax))))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) (.f32 alphay alphay)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) (.f32 alphay alphay)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) (.f32 alphay alphay)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) alphax))))))))

Results

4.0s

512×

256

valid

Compiler

Compiled 1750 to 1090 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.4s

Operation ival-mult, time spent: 859.0ms, 25.0% of total-time

Operation ival-tan, time spent: 857.0ms, 25.0% of total-time

Operation ival-atan, time spent: 482.0ms, 14.0% of total-time

Operation ival-cos, time spent: 463.0ms, 14.0% of total-time

Operation ival-sin, time spent: 404.0ms, 12.0% of total-time

Operation ival-add, time spent: 143.0ms, 4.0% of total-time

Operation ival-div, time spent: 115.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 48.0ms, 1.0% of total-time

Operation const, time spent: 35.0ms, 1.0% of total-time

Operation ival-sub, time spent: 14.0ms, 0.0% of total-time

Operation ival-pi, time spent: 6.0ms, 0.0% of total-time

eval5.0ms (0%)

Compiler: Compiled 319 to 212 computations (33.5% saved)

prune6.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

▶

99.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))

▶

99.3%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 173 to 124 computations (28.3% saved)

localize5.1s (4.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.0%	(/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax))
✓	98.8%	(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))
✓	62.4%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))
✓	60.6%	(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax))))
✓	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
✓	98.5%	(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
✓	62.4%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	60.6%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))

Results

4.3s

256×

256

valid

Compiler

Compiled 1433 to 914 computations (36.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.8s

Operation ival-tan, time spent: 983.0ms, 26.0% of total-time

Operation ival-mult, time spent: 959.0ms, 25.0% of total-time

Operation ival-sin, time spent: 636.0ms, 17.0% of total-time

Operation ival-atan, time spent: 359.0ms, 9.0% of total-time

Operation ival-cos, time spent: 327.0ms, 9.0% of total-time

Operation ival-div, time spent: 256.0ms, 7.0% of total-time

Operation ival-add, time spent: 200.0ms, 5.0% of total-time

Operation const, time spent: 31.0ms, 1.0% of total-time

Operation composed, time spent: 24.0ms, 1.0% of total-time

Operation ival-sub, time spent: 14.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 0.0% of total-time

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series69.0ms (0.1%)

Counts

8 → 192

Calls

Call 1

Inputs
#<alt (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))>
#<alt (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))>
#<alt (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)>
#<alt (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax))))>
#<alt (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))>
#<alt (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))>
#<alt (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax))>

Outputs
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
#<alt (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))>
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Calls

48 calls:

Time	Variable		Expression
8.0ms	alphax	@	(/ (cos (atan (* alphay (/ (tan (* (PI) (+ (* 2 u1) 1/2))) alphax)))) (* alphax alphax))
5.0ms	u1	@	(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
4.0ms	u1	@	(* (* 2 (PI)) u1)
2.0ms	u1	@	(tan (* (PI) (+ (* 2 u1) 1/2)))
1.0ms	alphay	@	(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))

rewrite237.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`associate-r`
328×	`associate-l`
266×	`log1p-expm1-u`
266×	`expm1-log1p-u`
262×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	347
1	562	305

Stop Event

1×	node limit

Counts

8 → 225

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax))))
(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax))

Outputs
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 1 binary32))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(/.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cos.f32 #s(literal 0 binary32)))) (sqrt.f32 #s(literal 2 binary32)))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal -1 binary32))
(pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(fabs.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(log1p.f32 (expm1.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(exp.f32 (.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 1/2 binary32))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cos.f32 #s(literal 0 binary32)))))
(/.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cos.f32 #s(literal 0 binary32)))) #s(literal -2 binary32))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))
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(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (sqrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 1 binary32))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal -2 binary32)))
(.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal -2 binary32))))
(.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal -2 binary32))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax))
(.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(.f32 (pow.f32 alphax #s(literal -2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) alphax) (/.f32 #s(literal 1 binary32) alphax))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) alphax) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal 2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) (pow.f32 (pow.f32 alphax #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)))

simplify412.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1572×	`fma-define`
752×	`cancel-sign-sub-inv`
638×	`distribute-lft-neg-in`
580×	`distribute-rgt-neg-in`
570×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	22608
1	1048	22322
2	3076	22074

Stop Event

1×	node limit

Counts

417 → 249

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
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(fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (sqrt.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 1 binary32))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal -2 binary32)))
(.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal -2 binary32))))
(.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal -2 binary32))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax))
(.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(.f32 (pow.f32 alphax #s(literal -2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) alphax) (/.f32 #s(literal 1 binary32) alphax))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) alphax) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal 2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) (pow.f32 (pow.f32 alphax #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)))

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) alphax)))
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(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) alphax) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 alphax #s(literal 2 binary32))))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32)))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))))
(/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 (cbrt.f32 alphax) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 alphax #s(literal 4 binary32))))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32)))
(pow.f32 (/.f32 (pow.f32 alphax #s(literal 2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 alphax #s(literal 2 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alphax #s(literal 2 binary32))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(neg.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32)))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (pow.f32 alphax #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 alphax #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) (pow.f32 (pow.f32 alphax #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 3 binary32)) (pow.f32 alphax #s(literal 6 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(+.f32 #s(literal 0 binary32) (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)))
(/.f32 (pow.f32 alphax #s(literal -2 binary32)) (hypot.f32 #s(literal 1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))

eval1.3s (1.2%)

Compiler: Compiled 62649 to 42429 computations (32.3% saved)

prune487.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	670	2	672
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	672	2	674

Accuracy

99.4%

Counts

674 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)))) (.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
▶	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

▶

98.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))

▶

99.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 153 to 112 computations (26.8% saved)

localize1.4min (75%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	6.3%	(PI.f32)
✓	6.3%	(PI.f32)

Results

1.3min

256×

8192

exit

Compiler

Compiled 1337 to 862 computations (35.5% saved)

Precisions

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

Operation ival-tan, time spent: 28.6s, 38.0% of total-time

Operation ival-atan, time spent: 17.7s, 23.0% of total-time

Operation ival-sin, time spent: 13.5s, 18.0% of total-time

Operation ival-cos, time spent: 6.1s, 8.0% of total-time

Operation ival-mult, time spent: 4.7s, 6.0% of total-time

Operation ival-div, time spent: 2.9s, 4.0% of total-time

Operation ival-add, time spent: 1.2s, 2.0% of total-time

Operation composed, time spent: 691.0ms, 1.0% of total-time

Operation ival-pow, time spent: 230.0ms, 0.0% of total-time

Operation const, time spent: 217.0ms, 0.0% of total-time

Operation ival-sub, time spent: 102.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 61.0ms, 0.0% of total-time

Operation ival-pi, time spent: 19.0ms, 0.0% of total-time

series1.0ms (0%)

Counts

2 → 0

Calls

Call 1

Inputs
#<alt (PI.f32)>
#<alt (PI.f32)>

Outputs

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`prod-diff`
920×	`log-prod`
737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
552×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	24	6
2	235	6
3	2421	6

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(PI.f32)
(PI.f32)

Outputs
(+.f32 (PI.f32) #s(literal 0 binary32))
(+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32))) (*.f32 #s(literal 1/3 binary32) (PI.f32)))
(+.f32 (.f32 #s(literal 1/3 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) #s(literal 1 binary32)))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 #s(literal 1/3 binary32) (.f32 #s(literal 3 binary32) (PI.f32)))
(.f32 #s(literal 3 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32)))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (PI.f32) #s(literal 0 binary32))
(+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32))) (*.f32 #s(literal 1/3 binary32) (PI.f32)))
(+.f32 (.f32 #s(literal 1/3 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) #s(literal 1 binary32)))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 #s(literal 1/3 binary32) (.f32 #s(literal 3 binary32) (PI.f32)))
(.f32 #s(literal 3 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32)))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1746×	`fma-neg`
970×	`associate-+l+`
924×	`associate-+r+`
850×	`exp-sum`
752×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1894
1	280	1846
2	1020	1838
3	4560	1758

Stop Event

1×	node limit

Counts

126 → 84

Calls

Call 1

Inputs
(+.f32 (PI.f32) #s(literal 0 binary32))
(+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32))) (*.f32 #s(literal 1/3 binary32) (PI.f32)))
(+.f32 (.f32 #s(literal 1/3 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) #s(literal 1 binary32)))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 #s(literal 1/3 binary32) (.f32 #s(literal 3 binary32) (PI.f32)))
(.f32 #s(literal 3 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32)))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (PI.f32) #s(literal 0 binary32))
(+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32))) (*.f32 #s(literal 1/3 binary32) (PI.f32)))
(+.f32 (.f32 #s(literal 1/3 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) #s(literal 1 binary32)))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 #s(literal 1/3 binary32) (.f32 #s(literal 3 binary32) (PI.f32)))
(.f32 #s(literal 3 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32)))) (cbrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal -1 binary32))

Outputs
(+.f32 (PI.f32) #s(literal 0 binary32))
(PI.f32)
(+.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(PI.f32)
(+.f32 #s(literal 0 binary32) (PI.f32))
(PI.f32)
(+.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32))) (*.f32 #s(literal 1/3 binary32) (PI.f32)))
(PI.f32)
(+.f32 (.f32 #s(literal 1/3 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (PI.f32))))
(PI.f32)
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(PI.f32)
(-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)) (expm1.f32 (PI.f32)))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) #s(literal 1 binary32)))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(PI.f32)
(.f32 #s(literal 1/3 binary32) (.f32 #s(literal 3 binary32) (PI.f32)))
(PI.f32)
(.f32 #s(literal 3 binary32) (.f32 #s(literal 1/3 binary32) (PI.f32)))
(PI.f32)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 5 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 5 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
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(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))))
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eval1.2s (1.1%)

Compiler: Compiled 60694 to 40564 computations (33.2% saved)

prune431.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	756	0	756
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	756	2	758

Accuracy

99.4%

Counts

758 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)))) (.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
✓	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

✓

98.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))

✓

99.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 467 to 326 computations (30.2% saved)

regimes38.0ms (0%)

Accuracy

Total -0.3b remaining (-152.6%)

Threshold costs -0.3b (-152.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)))) (.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))

Outputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Calls

13 calls:

5.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
4.0ms	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
4.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
3.0ms	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Results

Accuracy	Segments	Branch
99.4%	1	`u0`
99.4%	1	`u1`
99.4%	1	`alphax`
99.4%	1	`alphay`
99.4%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.4%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.4%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.4%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.4%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.4%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.4%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 401 computations (30.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
12×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	276
1	64	276
2	68	276
3	70	276
4	71	276

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Outputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 76 to 55 computations (27.6% saved)

soundness93.0ms (0.1%)

Rules

474×	`associate-r`
328×	`associate-l`
266×	`log1p-expm1-u`
266×	`expm1-log1p-u`
262×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	347
1	562	305

Stop Event

1×	node limit

Compiler

Compiled 568 to 370 computations (34.9% saved)

end0.0ms (0%)

preprocess90.0ms (0.1%)

Compiler: Compiled 336 to 238 computations (29.2% saved)

analyze1.6s (1.5%)

sample11.1s (10.2%)

preprocess4.9s (4.5%)

eval5.0ms (0%)

prune6.0ms (0%)

localize5.1s (4.7%)

series69.0ms (0.1%)

rewrite237.0ms (0.2%)

simplify412.0ms (0.4%)

eval1.3s (1.2%)

prune487.0ms (0.4%)

localize1.4min (75%)

series1.0ms (0%)

rewrite95.0ms (0.1%)

simplify79.0ms (0.1%)

eval1.2s (1.1%)

prune431.0ms (0.4%)

regimes38.0ms (0%)

simplify6.0ms (0%)

soundness93.0ms (0.1%)

end0.0ms (0%)

preprocess90.0ms (0.1%)

Profiling