Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 13.6s)

analyze732.0ms (5.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 577.0ms
...c/correct-round.rkt:119:19: 439.0ms (76.1% of total)
ival-<=: 27.0ms (4.7% of total)
ival-mult: 26.0ms (4.5% of total)
ival-cos: 24.0ms (4.2% of total)
ival-sub: 14.0ms (2.4% of total)
ival-sqrt: 14.0ms (2.4% of total)
ival-div: 12.0ms (2.1% of total)
ival-and: 12.0ms (2.1% of total)
ival->: 7.0ms (1.2% of total)
const: 1.0ms (0.2% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.0s (14.7%)

Results
1.6s8256×0valid
0.0ms2×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.2s
...c/correct-round.rkt:119:19: 524.0ms (42.2% of total)
ival-<=: 148.0ms (11.9% of total)
ival-mult: 139.0ms (11.2% of total)
ival-cos: 113.0ms (9.1% of total)
ival-div: 106.0ms (8.5% of total)
ival-sqrt: 64.0ms (5.1% of total)
ival-and: 53.0ms (4.3% of total)
ival-sub: 52.0ms (4.2% of total)
ival->: 35.0ms (2.8% of total)
const: 4.0ms (0.3% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess50.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
680×sum3-define
598×fma-define
506×fnmadd-define
352×fmsub-define
252×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036117
178115
2128115
3228113
4445113
5864113
61397113
71854113
82103113
92175113
102258113
01011
11611
22011
32611
43511
55011
67211
79811
814111
915611
1018611
018611
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Call 2
Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1)))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- -1 u1)))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* u1 314159265359/50000000000)))
Symmetry

(abs cosTheta_i)

(abs u2)

explain117.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u1
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-#s(literal 1 binary32)
00-0-u2
00-0-(-.f32 #s(literal 1 binary32) u1)
Results
81.0ms512×0valid
Compiler

Compiled 94 to 35 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
...c/correct-round.rkt:119:19: 9.0ms (24.6% of total)
ival-mult: 7.0ms (19.1% of total)
ival-div: 6.0ms (16.4% of total)
ival-cos: 6.0ms (16.4% of total)
ival-sub: 4.0ms (10.9% of total)
ival-sqrt: 4.0ms (10.9% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
76×sum3-define
36×+-lowering-+.f64
36×+-lowering-+.f32
32×fma-define
26×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11636
22036
32636
43536
55036
67236
79836
814136
915636
1018636
018636
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize52.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.5%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
41.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 4.0ms (23.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (23.3% of total)
ival-mult: 3.0ms (17.5% of total)
ival-sub: 2.0ms (11.7% of total)
ival-div: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
5 → 72
Calls
Call 1
Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
u1
@-inf
(sqrt (/ u1 (- 1 u1)))
1.0ms
u1
@inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@-inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

rewrite229.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
2122×*-lowering-*.f32
2122×*-lowering-*.f64
1834×/-lowering-/.f32
1834×/-lowering-/.f64
1256×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01028
12728
29326
340826
4145226
5616226
0815526
Stop Event
1×iter limit
1×node limit
Counts
5 → 342
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)
Outputs
(neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(neg.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(neg.f32 (/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(neg.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal 0 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(+.f32 (*.f32 #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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(neg.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(exp.f32 (log1p.f32 (neg.f32 u1)))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(fma.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(fma.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32) #s(literal 0 binary32))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1))
(-.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) u1))
(-.f32 (neg.f32 u1) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))
(/.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

simplify305.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
5224×*-lowering-*.f32
5224×*-lowering-*.f64
2178×+-lowering-+.f64
2178×+-lowering-+.f32
1730×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0180873
1561755
21834689
36021687
08477687
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -5/16 binary32)))) u1)) u1))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) (*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (sqrt.f32 u1)))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32))) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) u1) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval57.0ms (0.4%)

Compiler

Compiled 6953 to 1146 computations (83.5% saved)

prune84.0ms (0.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New39222414
Fresh000
Picked011
Done000
Total39223415
Accuracy
99.9%
Counts
415 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
94.8%
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) (*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
92.9%
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
98.4%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
99.0%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
86.8%
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.6%
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
98.7%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.7%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶99.0%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶96.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶80.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 836 to 603 computations (27.9% saved)

simplify145.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))
✓cost-diff3232
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)))
✓cost-diff3232
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓cost-diff128
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
✓cost-diff128
(sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
✓cost-diff128
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff0
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓cost-diff0
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff256
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff256
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff256
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
1764×+-lowering-+.f64
1764×+-lowering-+.f32
1560×*-lowering-*.f32
1560×*-lowering-*.f64
1384×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029225
157193
2102185
3188184
4903184
57760184
08155184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(* u1 (- 1 u1))
u1
(- 1 u1)
1
(* (- 1 u1) (- 1 u1))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(pow (+ -1 (/ 1 u1)) 1/2)
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
1
u1
1/2
(* (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(/ 1 u1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (exp (* (log (+ -1 (/ 1 u1))) -1/2)) (cos (* 314159265359/50000000000 u2)))
(exp (* (log (+ -1 (/ 1 u1))) -1/2))
(* (log (+ -1 (/ 1 u1))) -1/2)
(log (+ -1 (/ 1 u1)))
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
1
u1
-1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(* u1 (- 1 u1))
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (- 1 u1) (- 1 u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(pow (+ -1 (/ 1 u1)) 1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
1/2
#s(literal 1/2 binary32)
(* (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/ 1 (- 1 u1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (exp (* (log (+ -1 (/ 1 u1))) -1/2)) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(exp (* (log (+ -1 (/ 1 u1))) -1/2))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(* (log (+ -1 (/ 1 u1))) -1/2)
(*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))
(log (+ -1 (/ 1 u1)))
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1/2
#s(literal -1/2 binary32)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize228.0ms (1.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy96.9%
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)))
✓accuracy99.5%
(sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.7%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.6%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.5%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) u1)
✓accuracy99.5%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.4%
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
✓accuracy98.6%
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
Results
174.0ms256×0valid
Compiler

Compiled 246 to 31 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 13.0ms (19.5% of total)
ival-div: 11.0ms (16.5% of total)
ival-log: 10.0ms (15% of total)
ival-exp: 7.0ms (10.5% of total)
ival-sqrt: 6.0ms (9% of total)
ival-cos: 5.0ms (7.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (7.5% of total)
ival-pow: 5.0ms (7.5% of total)
ival-sub: 2.0ms (3% of total)
ival-add: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
21 → 300
Calls
Call 1
Inputs
#<alt (* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))>
#<alt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))>
#<alt (* u1 (- 1 u1))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (pow (+ -1 (/ 1 u1)) 1/2)>
#<alt (* (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))>
#<alt (/ (/ 1 (- 1 u1)) (/ 1 u1))>
#<alt (/ 1 (- 1 u1))>
#<alt (* (exp (* (log (+ -1 (/ 1 u1))) -1/2)) (cos (* 314159265359/50000000000 u2)))>
#<alt (exp (* (log (+ -1 (/ 1 u1))) -1/2))>
#<alt (* (log (+ -1 (/ 1 u1))) -1/2)>
#<alt (log (+ -1 (/ 1 u1)))>
#<alt (* (- 1 u1) (- 1 u1))>
#<alt (+ -1 (/ 1 u1))>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt 1>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 u1)))>
#<alt (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* 1/2 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/2 (* 1/4 u1))))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/2 (* u1 (+ 1/4 (* 1/6 u1))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (* 1/2 (/ 1 u1)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 1/6 (/ 1 (pow u1 3))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (* 1/2 (/ 1 u1)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)) (* -1/2 (log -1)))>
#<alt (* -1 (log u1))>
#<alt (+ (* -1 u1) (* -1 (log u1)))>
#<alt (+ (* -1 (log u1)) (* u1 (- (* -1/2 u1) 1)))>
#<alt (+ (* -1 (log u1)) (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 u1))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2)))) (/ 1 u1))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 u1))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- u1 2)))>
#<alt (+ 1 (* u1 (- u1 2)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
u2
@inf
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
1.0ms
u2
@0
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
1.0ms
u1
@-inf
(pow (+ -1 (/ 1 u1)) 1/2)
1.0ms
u1
@-inf
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
0.0ms
u1
@0
(pow (+ -1 (/ 1 u1)) 1/2)

rewrite367.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
2070×*-lowering-*.f32
2070×*-lowering-*.f64
1320×prod-diff
1286×fma-lowering-fma.f32
1286×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029182
1110127
2508119
32785118
08174118
Stop Event
1×iter limit
1×node limit
Counts
21 → 1697
Calls
Call 1
Inputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(* u1 (- 1 u1))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ -1 (/ 1 u1)) 1/2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(pow (+ -1 (/ 1 u1)) 1/2)
(* (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(/ 1 (- 1 u1))
(* (exp (* (log (+ -1 (/ 1 u1))) -1/2)) (cos (* 314159265359/50000000000 u2)))
(exp (* (log (+ -1 (/ 1 u1))) -1/2))
(* (log (+ -1 (/ 1 u1))) -1/2)
(log (+ -1 (/ 1 u1)))
(* (- 1 u1) (- 1 u1))
(+ -1 (/ 1 u1))
Outputs
(neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) #s(literal -1 binary32))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32)))) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) u1) (+.f32 u1 #s(literal -1 binary32)))
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(*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 (neg.f32 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
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(*.f32 (+.f32 u1 #s(literal -1 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)))

simplify369.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4868×*-lowering-*.f32
4868×*-lowering-*.f64
3106×+-lowering-+.f64
3106×+-lowering-+.f32
2562×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04034081
112413391
238403153
082123153
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ 1 (- (/ 1 u1) 1)))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))
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Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
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(sqrt (/ 1 (- (/ 1 u1) 1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
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(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (*.f32 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) u1) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/16 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)) u1))
(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(+ (* 1/2 u1) (* 1/2 (log u1)))
(*.f32 #s(literal 1/2 binary32) (+.f32 u1 (log.f32 u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/2 (* 1/4 u1))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/2 (* u1 (+ 1/4 (* 1/6 u1))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/6 binary32)))))))
(* -1/2 (log -1))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* -1/2 (log -1)) (* 1/2 (/ 1 u1)))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) u1))
(+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))))
(+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 1/6 (/ 1 (pow u1 3))))))
(+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) u1)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/6 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* -1/2 (log -1))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* -1/2 (log -1)) (* 1/2 (/ 1 u1)))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) u1))
(+ (* -1/2 (log -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)) (* -1/2 (log -1)))
(-.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/6 binary32) u1)) u1)) u1))
(* -1 (log u1))
(neg.f32 (log.f32 u1))
(+ (* -1 u1) (* -1 (log u1)))
(neg.f32 (+.f32 u1 (log.f32 u1)))
(+ (* -1 (log u1)) (* u1 (- (* -1/2 u1) 1)))
(-.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))) (log.f32 u1))
(+ (* -1 (log u1)) (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)))
(-.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32)))))) (log.f32 u1))
(log -1)
(log.f32 #s(literal -1 binary32))
(- (log -1) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) (*.f32 u1 u1)))
(log -1)
(log.f32 #s(literal -1 binary32))
(- (log -1) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
1
#s(literal 1 binary32)
(+ 1 (* -2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32)))
(+ 1 (* u1 (- u1 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -2 binary32))))
(+ 1 (* u1 (- u1 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -2 binary32))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))

eval234.0ms (1.7%)

Compiler

Compiled 50353 to 4838 computations (90.4% saved)

prune351.0ms (2.6%)

Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New2422332455
Fresh9817
Picked415
Done011
Total2435432478
Accuracy
100.0%
Counts
2478 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.3%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
▶98.9%
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
80.2%
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
92.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
▶94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
89.2%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.9%
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) u1))
98.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
70.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
92.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
80.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
▶99.0%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
93.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
89.6%
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.6%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.5%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
98.7%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
89.2%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
82.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
94.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
89.5%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
96.5%
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
70.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.3%
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶80.2%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓80.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
80.2%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.5%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
73.1%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
75.0%
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
▶60.3%
(sqrt.f32 u1)
Compiler

Compiled 1517 to 1090 computations (28.1% saved)

simplify186.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓cost-diff64
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓cost-diff0
(*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
✓cost-diff0
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
✓cost-diff0
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓cost-diff192
(/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓cost-diff192
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(/.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
2966×*-lowering-*.f32
2966×*-lowering-*.f64
1556×div-sub
1432×--lowering--.f32
1432×--lowering--.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033241
182215
2232213
3581211
41415210
54230210
08197210
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (+ -1 (/ 1 u1)) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (+ -1 (/ 1 u1)) -1/2)
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
1
u1
-1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
u1
(sqrt (/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1)))))
(/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1))))
(- 1 u1)
1
u1
(* (- 1 u1) (+ -1 (/ 1 u1)))
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
(+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))))
1
(* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
u2
(* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
-98696044010906577398881/5000000000000000000000
(* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))
(* u2 u2)
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)
-961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000
(pow (+ -1 (/ 1 u1)) 1/2)
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
u1
1/2
(/ (pow (+ -1 (/ 1 u1)) -1/2) (/ 1 (cos (* 314159265359/50000000000 u2))))
(pow (+ -1 (/ 1 u1)) -1/2)
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
1
u1
-1/2
(/ 1 (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (pow (+ -1 (/ 1 u1)) -1/2) (cos (* 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow (+ -1 (/ 1 u1)) -1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1/2
#s(literal -1/2 binary32)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt u1)
(sqrt.f32 u1)
u1
(sqrt (/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(* (- 1 u1) (+ -1 (/ 1 u1)))
(+.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
1
#s(literal 1 binary32)
(* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
u2
(* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
(+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
(+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
-98696044010906577398881/5000000000000000000000
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* u2 u2)
(*.f32 u2 u2)
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
-961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(pow (+ -1 (/ 1 u1)) 1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
u1
1/2
#s(literal 1/2 binary32)
(/ (pow (+ -1 (/ 1 u1)) -1/2) (/ 1 (cos (* 314159265359/50000000000 u2))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow (+ -1 (/ 1 u1)) -1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1/2
#s(literal -1/2 binary32)
(/ 1 (cos (* 314159265359/50000000000 u2)))
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize291.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.6%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓accuracy99.5%
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.1%
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
✓accuracy99.0%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓accuracy99.0%
(*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
✓accuracy98.9%
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
✓accuracy99.6%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.5%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓accuracy99.4%
(*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓accuracy99.1%
(/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.6%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓accuracy99.6%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓accuracy99.6%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
219.0ms256×0valid
Compiler

Compiled 285 to 35 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 20.0ms (24.7% of total)
...c/correct-round.rkt:119:19: 18.0ms (22.3% of total)
ival-mult: 13.0ms (16.1% of total)
ival-pow: 11.0ms (13.6% of total)
ival-div: 9.0ms (11.1% of total)
ival-sqrt: 4.0ms (4.9% of total)
ival-cos: 3.0ms (3.7% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.1%)

Counts
17 → 240
Calls
Call 1
Inputs
#<alt (* (pow (+ -1 (/ 1 u1)) -1/2) (cos (* 314159265359/50000000000 u2)))>
#<alt (pow (+ -1 (/ 1 u1)) -1/2)>
#<alt (+ -1 (/ 1 u1))>
#<alt (/ 1 u1)>
#<alt (sqrt u1)>
#<alt (sqrt (/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1)))))>
#<alt (/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1))))>
#<alt (* (- 1 u1) (+ -1 (/ 1 u1)))>
#<alt (- 1 u1)>
#<alt (/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))>
#<alt (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))))>
#<alt (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))>
#<alt (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))>
#<alt (/ (pow (+ -1 (/ 1 u1)) -1/2) (/ 1 (cos (* 314159265359/50000000000 u2))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))>
#<alt (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -2 u1)) u1)>
#<alt (/ (+ 1 (* u1 (- u1 2))) u1)>
#<alt (/ (+ 1 (* u1 (- u1 2))) u1)>
#<alt u1>
#<alt (* u1 (- 1 (* 2 (/ 1 u1))))>
#<alt (* u1 (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (* u1 (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt u1>
#<alt (* -1 (* u1 (- (* 2 (/ 1 u1)) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))>
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* (/ 1 (pow u2 6)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
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#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
1.0ms
u1
@inf
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
1.0ms
u1
@0
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
1.0ms
u2
@inf
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
0.0ms
u2
@inf
(* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))

rewrite1.3s (9.8%)

Algorithm
1×batch-egg-rewrite
Rules
4166×*-lowering-*.f32
4166×*-lowering-*.f64
2902×/-lowering-/.f32
2902×/-lowering-/.f64
1766×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033146
1126125
2515124
32419122
010115122
Stop Event
1×iter limit
1×node limit
Counts
17 → 1625
Calls
Call 1
Inputs
(* (pow (+ -1 (/ 1 u1)) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (+ -1 (/ 1 u1)) -1/2)
(+ -1 (/ 1 u1))
(/ 1 u1)
(sqrt u1)
(sqrt (/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1)))))
(/ (- 1 u1) (* (- 1 u1) (+ -1 (/ 1 u1))))
(* (- 1 u1) (+ -1 (/ 1 u1)))
(- 1 u1)
(/ (+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (pow (+ -1 (/ 1 u1)) 1/2))
(+ 1 (* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))))
(* u2 (* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
(* u2 (+ -98696044010906577398881/5000000000000000000000 (* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(/ (pow (+ -1 (/ 1 u1)) -1/2) (/ 1 (cos (* 314159265359/50000000000 u2))))
(* 314159265359/50000000000 u2)
(* (* u2 u2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))
(* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)
Outputs
(neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(exp.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32)) (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (+.f32 (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(exp.f32 (+.f32 (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))))
(exp.f32 (neg.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(exp.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32)) (neg.f32 (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(exp.f32 (-.f32 (log.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(pow.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(pow.f32 (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))))
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(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))))
(*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(+.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 u2 (*.f32 u2 (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 (*.f32 u2 (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))
(*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)
(*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)

simplify375.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
5750×*-lowering-*.f32
5750×*-lowering-*.f64
4152×+-lowering-+.f64
4152×+-lowering-+.f32
1304×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03233667
110762812
237962621
081952621
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
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1
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -98696044010906577398881/5000000000000000000000 u2)
(* u2 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
(* -1 (* (pow u2 5) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ 1 (- (/ 1 u1) 1)))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1/2 binary32))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))

eval267.0ms (2%)

Compiler

Compiled 71907 to 6151 computations (91.4% saved)

prune359.0ms (2.6%)

Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New2482222504
Fresh63036
Picked235
Done022
Total2490572547
Accuracy
100.0%
Counts
2547 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.3%
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
80.3%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
80.2%
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
94.3%
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
▶94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
92.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.2%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
94.0%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
67.7%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
✓94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
89.2%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.9%
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) u1))
98.9%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
70.4%
(/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
70.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
92.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
80.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
▶60.3%
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.4%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
▶99.0%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.6%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))))
94.7%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
80.0%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
93.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
89.6%
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶89.6%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.5%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
92.5%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
89.2%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
82.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
67.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
▶70.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.3%
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
58.5%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
✓80.2%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓80.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
80.2%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.5%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
73.1%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
75.0%
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
✓60.3%
(sqrt.f32 u1)
Compiler

Compiled 2263 to 1622 computations (28.3% saved)

simplify218.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff0
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
✓cost-diff0
(*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2)))
✓cost-diff0
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓cost-diff0
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓cost-diff0
(*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
✓cost-diff0
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(pow.f32 u1 #s(literal -1/2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓cost-diff0
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
3650×fma-define
3100×fma-lowering-fma.f32
3100×fma-lowering-fma.f64
1446×*-lowering-*.f32
1446×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039227
176208
2151208
3328208
4695208
51216208
61498208
71686208
81809208
91980208
102654208
113260208
123599208
134108208
144340208
154398208
164585208
174597208
184597208
195161208
205161208
215213208
225376208
05376208
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (/ (- 1 u1) u1) -1/2)
(/ (- 1 u1) u1)
(- 1 u1)
1
u1
-1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ 1 (pow u1 -1/2))
1
(pow u1 -1/2)
u1
-1/2
(* (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
1
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
u2
(* u2 -98696044010906577398881/5000000000000000000000)
-98696044010906577398881/5000000000000000000000
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
(/ (+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))) (pow (+ -1 (/ 1 u1)) 1/2))
(+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2)))
1
(* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))
(+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
-98696044010906577398881/5000000000000000000000
(* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
u2
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)
-961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000
(* u2 u2)
(pow (+ -1 (/ 1 u1)) 1/2)
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
u1
1/2
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
u1
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow (/ (- 1 u1) u1) -1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(/ (- 1 u1) u1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1/2
#s(literal -1/2 binary32)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ 1 (pow u1 -1/2))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
1
#s(literal 1 binary32)
(pow u1 -1/2)
(pow.f32 u1 #s(literal -1/2 binary32))
u1
-1/2
#s(literal -1/2 binary32)
(* (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
1
#s(literal 1 binary32)
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
(*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
u2
(* u2 -98696044010906577398881/5000000000000000000000)
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
-98696044010906577398881/5000000000000000000000
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))) (pow (+ -1 (/ 1 u1)) 1/2))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2)))
(+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2)))
1
#s(literal 1 binary32)
(* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))
(*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))
(+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
(+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
-98696044010906577398881/5000000000000000000000
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
u2
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)
(*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
-961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(* u2 u2)
(*.f32 u2 u2)
(pow (+ -1 (/ 1 u1)) 1/2)
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+ -1 (/ 1 u1))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
u1
1/2
#s(literal 1/2 binary32)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize263.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.8%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓accuracy99.6%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.1%
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))
✓accuracy99.0%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓accuracy99.0%
(*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
✓accuracy98.9%
(*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))
✓accuracy99.5%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.2%
(*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
✓accuracy98.8%
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓accuracy100.0%
(pow.f32 u1 #s(literal -1/2 binary32))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
✓accuracy99.6%
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
✓accuracy99.6%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.4%
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
199.0ms256×0valid
Compiler

Compiled 257 to 41 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 19.0ms (20.7% of total)
ival-cos: 17.0ms (18.5% of total)
ival-pow: 17.0ms (18.5% of total)
...c/correct-round.rkt:119:19: 16.0ms (17.4% of total)
ival-div: 10.0ms (10.9% of total)
ival-add: 6.0ms (6.5% of total)
ival-sqrt: 4.0ms (4.4% of total)
ival-sub: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.1%)

Counts
22 → 312
Calls
Call 1
Inputs
#<alt (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2)))>
#<alt (pow (/ (- 1 u1) u1) -1/2)>
#<alt (/ (- 1 u1) u1)>
#<alt (- 1 u1)>
#<alt (/ 1 (pow u1 -1/2))>
#<alt (pow u1 -1/2)>
#<alt (* (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))>
#<alt (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))>
#<alt (* u2 (* u2 -98696044010906577398881/5000000000000000000000))>
#<alt (* u2 -98696044010906577398881/5000000000000000000000)>
#<alt (/ (+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))) (pow (+ -1 (/ 1 u1)) 1/2))>
#<alt (+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2)))>
#<alt (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))>
#<alt (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (/ u1 (- 1 u1))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))>
#<alt (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))>
#<alt (+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))>
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))>
#<alt (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))>
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt 1>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
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#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)>
#<alt (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
u1
@0
(pow (/ (- 1 u1) u1) -1/2)
1.0ms
u2
@inf
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
1.0ms
u1
@0
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(* (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))
1.0ms
u1
@-inf
(/ 1 (pow u1 -1/2))

rewrite250.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
3274×*-lowering-*.f32
3274×*-lowering-*.f64
2508×/-lowering-/.f32
2508×/-lowering-/.f64
1192×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039166
1119144
2430143
31708143
08125143
Stop Event
1×iter limit
1×node limit
Counts
22 → 1074
Calls
Call 1
Inputs
(* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (/ (- 1 u1) u1) -1/2)
(/ (- 1 u1) u1)
(- 1 u1)
(/ 1 (pow u1 -1/2))
(pow u1 -1/2)
(* (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
(* u2 -98696044010906577398881/5000000000000000000000)
(/ (+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))) (pow (+ -1 (/ 1 u1)) 1/2))
(+ 1 (* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2)))
(* (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))) (* u2 u2))
(+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(/ u1 (- 1 u1))
(sqrt (/ u1 (- 1 u1)))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))
(* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))
Outputs
(neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))))
(neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))))
(neg.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(neg.f32 (/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(neg.f32 (/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
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(*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) u2)
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

simplify307.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
5642×*-lowering-*.f32
5642×*-lowering-*.f64
1954×+-lowering-+.f64
1954×+-lowering-+.f32
1690×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04074108
113873285
253073227
084453227
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(sqrt (/ 1 (- (/ 1 u1) 1)))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* (/ 1 (pow u2 6)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* (/ 1 (pow u2 6)) (sqrt (/ 1 (- (/ 1 u1) 1))))))))
(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))))
(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))
(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (sqrt -1)))) (* 1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (sqrt -1))) (* -1/2 (/ (* (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(sqrt u1)
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) u1)) u1))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2))))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- (/ 1 u1) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) u1)) u1))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

eval131.0ms (1%)

Compiler

Compiled 31079 to 3296 computations (89.4% saved)

prune324.0ms (2.4%)

Pruning

69 alts after pruning (59 fresh and 10 done)

PrunedKeptTotal
New1448261474
Fresh143347
Picked055
Done055
Total1462691531
Accuracy
100.0%
Counts
1531 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.3%
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
80.3%
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
80.2%
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
94.3%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.3%
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
92.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 u2 u2)) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
67.7%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
✓94.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
89.2%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.9%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
70.4%
(/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
70.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
70.4%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
92.7%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
80.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
✓60.3%
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
89.0%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
70.4%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.4%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
60.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
4.7%
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
4.7%
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
94.7%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
92.8%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
89.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓99.0%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
93.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
89.1%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
98.7%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
70.4%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.6%
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.2%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
89.6%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
✓89.6%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.3%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
89.3%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
76.3%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
64.9%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
89.1%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
82.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
67.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
66.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓70.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.3%
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
58.5%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
✓80.2%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓80.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
80.2%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.5%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
73.1%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
75.0%
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
✓60.3%
(sqrt.f32 u1)
Compiler

Compiled 3149 to 1274 computations (59.5% saved)

regimes319.0ms (2.3%)

Counts
104 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) (*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

110.0ms
u1
32.0ms
cosTheta_i
29.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
29.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
28.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes222.0ms (1.6%)

Counts
74 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 u2 u2)) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

47.0ms
u2
31.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
25.0ms
u1
22.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes187.0ms (1.4%)

Counts
72 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 u2 u2)) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

7 calls:

34.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms
u2
21.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.0ms
u1
Results
AccuracySegmentsBranch
94.7%1cosTheta_i
94.7%1u1
98.1%2u2
94.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes93.0ms (0.7%)

Counts
71 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 u2 u2)) (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 u2)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
Calls

3 calls:

44.0ms
u2
24.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
94.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.7%1u2
94.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes100.0ms (0.7%)

Counts
43 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
Outputs
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
Calls

5 calls:

31.0ms
u2
25.0ms
u1
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
cosTheta_i
Results
AccuracySegmentsBranch
94.7%1cosTheta_i
94.7%1u1
94.7%1u2
94.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes67.0ms (0.5%)

Counts
42 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
Calls

5 calls:

14.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
13.0ms
u1
13.0ms
u2
12.0ms
cosTheta_i
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
92.8%1cosTheta_i
92.8%1u2
92.8%1u1
92.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes79.0ms (0.6%)

Counts
34 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
Calls

5 calls:

28.0ms
u1
13.0ms
u2
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
89.6%1cosTheta_i
89.6%1u1
89.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.6%1u2
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes58.0ms (0.4%)

Counts
32 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
Outputs
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

5 calls:

15.0ms
u2
13.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
u1
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
89.6%1u2
89.6%1cosTheta_i
89.6%1u1
89.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes70.0ms (0.5%)

Counts
21 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

5 calls:

37.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
u1
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
cosTheta_i
6.0ms
u2
Results
AccuracySegmentsBranch
89.6%1cosTheta_i
89.6%1u1
89.6%1u2
89.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes36.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Calls

5 calls:

8.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms
u2
7.0ms
cosTheta_i
6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
u1
Results
AccuracySegmentsBranch
80.4%1cosTheta_i
86.3%2u1
86.2%2u2
86.3%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
86.3%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes27.0ms (0.2%)

Counts
19 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1))
Calls

4 calls:

8.0ms
u2
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms
u1
Results
AccuracySegmentsBranch
83.8%2u2
80.4%1u1
80.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 25 to 19 computations (24% saved)

regimes11.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Calls

2 calls:

6.0ms
cosTheta_i
5.0ms
u2
Results
AccuracySegmentsBranch
80.4%1cosTheta_i
80.4%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
Outputs
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
Calls

3 calls:

2.0ms
u2
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
69.5%1u2
69.5%1u1
69.5%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -18.2b remaining (-143.5%)

Threshold costs -18.2b (-143.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

3.0ms
u1
2.0ms
u2
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
60.3%1cosTheta_i
60.3%1u2
60.3%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7112844586372375
0.8542196750640869
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000810343015473336
0.0008978286641649902
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0006908240611664951
0.0007294781389646232
Compiler

Compiled 20 to 16 computations (20% saved)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
64×*-commutative_binary32
34×+-commutative_binary32
10×sub-neg_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075250
1123250
2132250
3140250
4144250
5145250
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14602889/17179869184 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 u1)
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14602889/17179869184 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14602889/17179869184 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)

soundness2.6s (18.8%)

Rules
5642×*-lowering-*.f32
5642×*-lowering-*.f64
5224×*-lowering-*.f32
5224×*-lowering-*.f64
4868×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04034081
112413391
238403153
082123153
039166
1119144
2430143
31708143
08125143
0180873
1561755
21834689
36021687
08477687
01028
12728
29326
340826
4145226
5616226
0815526
033146
1126125
2515124
32419122
010115122
04074108
113873285
253073227
084453227
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 682 to 406 computations (40.5% saved)

preprocess63.0ms (0.5%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 834 to 414 computations (50.4% saved)

end0.0ms (0%)

Profiling

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