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

analyze1.4s (4.4%)

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: 898.0ms

Operation ival-mult, time spent: 273.0ms, 30.0% of total-time

Operation ival-tan, time spent: 171.0ms, 19.0% of total-time

Operation ival-cos, time spent: 106.0ms, 12.0% of total-time

Operation ival-sin, time spent: 78.0ms, 9.0% of total-time

Operation ival-div, time spent: 77.0ms, 9.0% of total-time

Operation ival-add, time spent: 50.0ms, 6.0% of total-time

Operation ival-<=, time spent: 50.0ms, 6.0% of total-time

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

Operation const, time spent: 13.0ms, 1.0% of total-time

Operation ival-and, time spent: 11.0ms, 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

Operation ival-pi, time spent: 6.0ms, 1.0% of total-time

sample10.0s (30.5%)

Results

9.1s	8255×	0	valid
1.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.2s

Operation ival-tan, time spent: 1.6s, 23.0% of total-time

Operation ival-mult, time spent: 1.5s, 20.0% of total-time

Operation ival-atan, time spent: 777.0ms, 11.0% of total-time

Operation ival-sin, time spent: 751.0ms, 10.0% of total-time

Operation ival-cos, time spent: 686.0ms, 10.0% of total-time

Operation ival-div, time spent: 668.0ms, 9.0% of total-time

Operation ival-<=, time spent: 594.0ms, 8.0% of total-time

Operation ival-add, time spent: 316.0ms, 4.0% of total-time

Operation const, time spent: 86.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 69.0ms, 1.0% of total-time

Operation ival-and, time spent: 57.0ms, 1.0% of total-time

Operation ival-sub, time spent: 51.0ms, 1.0% of total-time

Operation ival-pi, time spent: 40.0ms, 1.0% of total-time

Operation backward-pass, time spent: 7.0ms, 0.0% of total-time

Bogosity

preprocess5.2s (15.8%)

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
200	2	(1.6753057252572034e-7 0.007764346431940794 0.003728442592546344 0.12164989858865738)	11	(9.205068929318827e-10 0.1970837563276291 0.001762382686138153 0.17515932023525238)	`(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)))))))`
194	5	(0.019578872248530388 0.0008939849794842303 0.00017159539856947958 0.014020695351064205)	8	(3.377354232725338e-6 0.0034914035350084305 0.00013988648424856365 0.031037932261824608)	`(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))))))))

Compiler

Compiled 1750 to 1086 computations (37.9% saved)

Precisions

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

Operation ival-tan, time spent: 1.2s, 31.0% of total-time

Operation ival-mult, time spent: 1.0s, 27.0% of total-time

Operation ival-atan, time spent: 459.0ms, 12.0% of total-time

Operation ival-cos, time spent: 452.0ms, 12.0% of total-time

Operation ival-sin, time spent: 381.0ms, 10.0% of total-time

Operation ival-add, time spent: 131.0ms, 3.0% of total-time

Operation ival-div, time spent: 121.0ms, 3.0% of total-time

Operation const, time spent: 29.0ms, 1.0% of total-time

Operation ival-sub, time spent: 16.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 0.0% of total-time

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

eval8.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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

▶

99.3%

(/.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 92 to 64 computations (30.4% saved)

localize2.3s (7.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	98.9%	(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓	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))))))))
✓	61.2%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	58.8%	(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)))))))

Compiler

Compiled 829 to 511 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-mult, time spent: 404.0ms, 26.0% of total-time

Operation ival-tan, time spent: 395.0ms, 25.0% of total-time

Operation ival-atan, time spent: 206.0ms, 13.0% of total-time

Operation ival-cos, time spent: 201.0ms, 13.0% of total-time

Operation ival-sin, time spent: 195.0ms, 13.0% of total-time

Operation ival-add, time spent: 70.0ms, 4.0% of total-time

Operation ival-div, time spent: 55.0ms, 4.0% of total-time

Operation const, time spent: 14.0ms, 1.0% of total-time

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

Operation ival-sqrt, time spent: 4.0ms, 0.0% of total-time

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

series45.0ms (0.1%)

Counts

4 → 120

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 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))>

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)))>
#<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 (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))>
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#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))>
#<alt (+.f32 (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (.f32 alphay (.f32 u1 (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) alphax))>
#<alt (+.f32 (.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (.f32 u1 (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (.f32 alphay (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax))) (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))>
#<alt (+.f32 (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (.f32 alphay (.f32 u1 (-.f32 (.f32 #s(literal -4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal -4 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 #s(literal 4/3 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))))) alphax))) (/.f32 (.f32 alphay (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax))) (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))) (.f32 alphax (cos.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))))))>

Calls

30 calls:

Time	Variable		Expression
6.0ms	u1	@	(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
5.0ms	alphay	@	(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
5.0ms	alphay	@	(* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))))
3.0ms	u1	@	(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
2.0ms	alphax	@	(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))

rewrite356.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`log1p-expm1-u`
967×	`expm1-log1p-u`
272×	`associate-r`
182×	`associate-l`
153×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	204
1	327	204
2	4635	204

Stop Event

1×	node limit

Counts

4 → 116

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

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

simplify207.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1134×	`fma-define`
866×	`associate-*r/`
840×	`associate-/r*`
606×	`associate-*l/`
536×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	17699
1	857	16490
2	2767	15096

Stop Event

1×	node limit

Counts

236 → 214

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

eval1.2s (3.6%)

Compiler: Compiled 64184 to 42355 computations (34% saved)

prune239.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	615	1	616
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	616	1	617

Accuracy

99.3%

Counts

617 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #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

▶

99.3%

(/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #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 77 to 56 computations (27.3% saved)

localize2.0s (6.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	98.9%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))
	61.2%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	61.2%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))

Compiler

Compiled 743 to 473 computations (36.3% saved)

Precisions

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

Operation ival-tan, time spent: 322.0ms, 27.0% of total-time

Operation ival-mult, time spent: 303.0ms, 25.0% of total-time

Operation ival-sin, time spent: 199.0ms, 17.0% of total-time

Operation ival-div, time spent: 114.0ms, 10.0% of total-time

Operation ival-add, time spent: 98.0ms, 8.0% of total-time

Operation ival-atan, time spent: 95.0ms, 8.0% of total-time

Operation ival-pow, time spent: 32.0ms, 3.0% of total-time

Operation const, time spent: 16.0ms, 1.0% of total-time

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

Operation ival-sqrt, time spent: 4.0ms, 0.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series36.0ms (0.1%)

Counts

3 → 84

Calls

Call 1

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

Inputs

#<alt (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))>

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

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

Outputs
#<alt (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))>
#<alt (+.f32 (.f32 u1 (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 u1 (-.f32 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (/.f32 (.f32 u1 (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 u1 (-.f32 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 u1 (-.f32 (.f32 u1 (-.f32 (.f32 #s(literal -4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal -4 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 #s(literal 4/3 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))>
#<alt (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))>
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#<alt (+.f32 (.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (.f32 u1 (+.f32 (.f32 #s(literal 4 binary32) (/.f32 (.f32 (PI.f32) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (pow.f32 (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32))))) (pow.f32 alphax #s(literal 2 binary32))))) (/.f32 (.f32 (pow.f32 alphay #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 alphax #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))>
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#<alt (+.f32 (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (.f32 alphay (.f32 u1 (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) alphax))>
#<alt (+.f32 (.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (.f32 u1 (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (.f32 alphay (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax))) (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))>
#<alt (+.f32 (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (/.f32 (.f32 alphay (.f32 u1 (-.f32 (.f32 #s(literal -4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal -4 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 #s(literal 4/3 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))))) alphax))) (/.f32 (.f32 alphay (-.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) alphax))) (/.f32 (.f32 alphay (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))))>
#<alt (/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1))))))>

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	alphay	@	0	(pow (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))) 2)
5.0ms	u1	@	0	(pow (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))) 2)
3.0ms	alphax	@	0	(pow (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))) 2)
2.0ms	u1	@	inf	(pow (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))) 2)
2.0ms	u1	@	-inf	(pow (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))) 2)

rewrite136.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`log-prod`
776×	`log1p-expm1-u`
776×	`expm1-log1p-u`
662×	`prod-diff`
440×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	261	114
2	3556	114

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Inputs

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

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

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

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

simplify245.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1214×	`cube-prod`
1008×	`fma-neg`
872×	`exp-prod`
656×	`associate-r`
618×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	14361
1	959	13951
2	3700	13806
3	6755	13806

Stop Event

1×	node limit

Counts

179 → 171

Calls

Call 1

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

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

eval758.0ms (2.3%)

Compiler: Compiled 27351 to 19004 computations (30.5% saved)

prune156.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	272	1	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	1	274

Accuracy

99.3%

Counts

274 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

▶

99.3%

(/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 75 to 55 computations (26.7% saved)

localize2.5s (7.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	98.9%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))
	61.2%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
	61.2%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))

Compiler

Compiled 752 to 481 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-sin, time spent: 505.0ms, 31.0% of total-time

Operation ival-mult, time spent: 405.0ms, 25.0% of total-time

Operation ival-tan, time spent: 357.0ms, 22.0% of total-time

Operation ival-atan, time spent: 121.0ms, 7.0% of total-time

Operation ival-add, time spent: 90.0ms, 6.0% of total-time

Operation ival-div, time spent: 79.0ms, 5.0% of total-time

Operation ival-pow, time spent: 39.0ms, 2.0% of total-time

Operation const, time spent: 16.0ms, 1.0% of total-time

Operation ival-sub, time spent: 7.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 0.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

eval796.0ms (2.4%)

Compiler: Compiled 32915 to 23012 computations (30.1% saved)

prune127.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	1	337

Accuracy

99.3%

Counts

337 → 1

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.3%

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

Compiler

Compiled 73 to 54 computations (26% saved)

localize1.7s (5.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	98.9%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
	98.9%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))
	61.2%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))

Compiler

Compiled 659 to 425 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-tan, time spent: 321.0ms, 30.0% of total-time

Operation ival-mult, time spent: 235.0ms, 22.0% of total-time

Operation ival-sin, time spent: 201.0ms, 19.0% of total-time

Operation ival-atan, time spent: 102.0ms, 10.0% of total-time

Operation ival-add, time spent: 82.0ms, 8.0% of total-time

Operation ival-div, time spent: 69.0ms, 6.0% of total-time

Operation ival-pow, time spent: 33.0ms, 3.0% of total-time

Operation const, time spent: 15.0ms, 1.0% of total-time

Operation ival-sub, time spent: 8.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 0.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series7.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))>

Outputs
#<alt (*.f32 #s(literal 1/2 binary32) (PI.f32))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))>
#<alt (.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))>
#<alt (.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(* (PI) (+ 1/2 (* 2 u1)))
0.0ms	u1	@	0	(* (PI) (+ 1/2 (* 2 u1)))
0.0ms	u1	@	-inf	(* (PI) (+ 1/2 (* 2 u1)))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`unpow-prod-down`
634×	`log-prod`
624×	`prod-diff`
611×	`log1p-expm1-u`
611×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	126	20
2	1718	20

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))

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

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`associate-/l*`
822×	`fma-define`
808×	`cancel-sign-sub-inv`
780×	`distribute-lft-in`
714×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2140
1	402	1638
2	1034	1614
3	3079	1612

Stop Event

1×	node limit

Counts

70 → 74

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 u1 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))
(.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))
(.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))
(+.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(+.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(+.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) u1) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))))))
(/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))) (-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (.f32 (PI.f32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32))) (fma.f32 (.f32 #s(literal 2 binary32) u1) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))
(/.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) u1)))
(/.f32 (.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (PI.f32)) (fma.f32 (.f32 #s(literal 2 binary32) u1) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32))) (PI.f32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) u1)))
(pow.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 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.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 (pow.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 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(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))))))
(log.f32 (.f32 (exp.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))) (exp.f32 (.f32 (PI.f32) #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)))
(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)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)) (.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 (.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) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 #s(literal 1 binary32) (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) u1)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) u1)) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (sqrt.f32 (.f32 #s(literal 2 binary32) u1)) (.f32 (sqrt.f32 (.f32 #s(literal 2 binary32) u1)) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(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 u1 (.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))) (*.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 u1 (.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) u1) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) u1) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (PI.f32) u1) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (.f32 #s(literal 2 binary32) u1)) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 2 binary32) u1)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (PI.f32) (sqrt.f32 (.f32 #s(literal 2 binary32) u1))) (sqrt.f32 (.f32 #s(literal 2 binary32) u1)) (.f32 (PI.f32) #s(literal 1/2 binary32)))

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

eval1.9s (5.7%)

Compiler: Compiled 54841 to 37989 computations (30.7% saved)

prune447.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	618	3	621
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	618	4	622

Accuracy

99.3%

Counts

622 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.7%	(/.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	92.8%	(/.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) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.2%	(/.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 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 784 to 543 computations (30.7% saved)

regimes210.0ms (0.6%)

Counts

7 → 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 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.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) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (*.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (*.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) (.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) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) #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)))))

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

Calls

13 calls:

106.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
29.0ms	(+.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)))
25.0ms	(/.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))
6.0ms	(/.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))))
5.0ms	alphay

Results

Accuracy	Segments	Branch
99.3%	1	`u0`
99.3%	1	`u1`
99.3%	1	`alphax`
99.3%	1	`alphay`
99.3%	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)))))
99.3%	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))))
99.3%	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)))
99.3%	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))
99.3%	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))))
99.3%	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)))
99.3%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.3%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 401 computations (30.1% saved)

regimes15.0ms (0%)

Counts

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

Calls

4 calls:

4.0ms	alphay
3.0ms	u1
3.0ms	u0
2.0ms	alphax

Results

Accuracy	Segments	Branch
98.7%	1	`u0`
98.7%	1	`u1`
98.7%	1	`alphax`
98.7%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

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

Calls

4 calls:

2.0ms	u0
1.0ms	alphay
1.0ms	u1
1.0ms	alphax

Results

Accuracy	Segments	Branch
98.2%	1	`u0`
98.2%	1	`u1`
98.2%	1	`alphax`
98.2%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
20×	`*-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	762
1	90	762
2	94	762
3	96	762
4	97	762

Stop Event

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

Compiler

Compiled 211 to 156 computations (26.1% saved)

soundness440.0ms (1.3%)

Rules

1134×	`fma-define`
1082×	`log1p-expm1-u`
967×	`expm1-log1p-u`
866×	`associate-*r/`
840×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	17699
1	857	16490
2	2767	15096
0	23	204
1	327	204
2	4635	204

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 2422 to 1597 computations (34.1% saved)

end0.0ms (0%)

preprocess139.0ms (0.4%)

Compiler: Compiled 590 to 408 computations (30.8% saved)

analyze1.4s (4.4%)

sample10.0s (30.5%)

preprocess5.2s (15.8%)

eval8.0ms (0%)

prune2.0ms (0%)

localize2.3s (7.2%)

series45.0ms (0.1%)

rewrite356.0ms (1.1%)

simplify207.0ms (0.6%)

eval1.2s (3.6%)

prune239.0ms (0.7%)

localize2.0s (6.2%)

series36.0ms (0.1%)

rewrite136.0ms (0.4%)

simplify245.0ms (0.7%)

eval758.0ms (2.3%)

prune156.0ms (0.5%)

localize2.5s (7.5%)

eval796.0ms (2.4%)

prune127.0ms (0.4%)

localize1.7s (5.2%)

series7.0ms (0%)

rewrite83.0ms (0.3%)

simplify80.0ms (0.2%)

eval1.9s (5.7%)

prune447.0ms (1.4%)

regimes210.0ms (0.6%)

regimes15.0ms (0%)

regimes7.0ms (0%)

simplify15.0ms (0%)

soundness440.0ms (1.3%)

end0.0ms (0%)

preprocess139.0ms (0.4%)

Profiling