Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 12.7s)

analyze652.0ms (5.1%)

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: 430.0ms
ival-<=: 174.0ms (40.5% of total)
...c/correct-round.rkt:119:19: 115.0ms (26.8% of total)
ival-mult: 42.0ms (9.8% of total)
ival-cos: 24.0ms (5.6% of total)
ival-div: 22.0ms (5.1% of total)
ival-sub: 16.0ms (3.7% of total)
ival-sqrt: 16.0ms (3.7% of total)
ival-and: 10.0ms (2.3% of total)
ival->: 10.0ms (2.3% of total)
const: 1.0ms (0.2% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.1s (16.8%)

Results
1.6s8256×0valid
1.0ms4×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 510.0ms (39.5% of total)
ival-<=: 173.0ms (13.4% of total)
ival-mult: 151.0ms (11.7% of total)
ival-cos: 149.0ms (11.6% of total)
ival-div: 73.0ms (5.7% of total)
ival-sqrt: 72.0ms (5.6% of total)
ival-sub: 58.0ms (4.5% of total)
ival->: 50.0ms (3.9% of total)
ival-and: 44.0ms (3.4% of total)
const: 5.0ms (0.4% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess52.0ms (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)

explain124.0ms (1%)

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
85.0ms512×0valid
Compiler

Compiled 94 to 35 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 9.0ms (23.6% of total)
ival-mult: 8.0ms (21% of total)
...c/correct-round.rkt:119:19: 8.0ms (21% of total)
ival-div: 4.0ms (10.5% of total)
ival-sqrt: 4.0ms (10.5% of total)
ival-sub: 3.0ms (7.9% of total)
const: 1.0ms (2.6% 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)

simplify9.0ms (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

localize70.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
57.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 4.0ms (22.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (22.7% of total)
ival-cos: 3.0ms (17% of total)
ival-sub: 2.0ms (11.3% of total)
ival-div: 2.0ms (11.3% of total)
ival-sqrt: 2.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
6 → 84
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)>
#<alt (cos (* 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)>
#<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))>
Calls

21 calls:

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

rewrite258.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2974×*-lowering-*.f32
2974×*-lowering-*.f64
2024×/-lowering-/.f32
2024×/-lowering-/.f64
1310×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01032
14032
223630
3203630
0943530
Stop Event
1×iter limit
1×node limit
Counts
6 → 444
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)
(cos (* 314159265359/50000000000 u2))
Outputs
(pow.f32 (/.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 u1 #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)) (*.f32 (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)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.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 0 binary32) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32))))
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(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

simplify385.0ms (3%)

Algorithm
1×egg-herbie
Rules
5346×*-lowering-*.f32
5346×*-lowering-*.f64
2304×+-lowering-+.f64
2304×+-lowering-+.f32
1830×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0193943
1596815
21923745
36229743
08756743
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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)
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))
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 u1 (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (sqrt.f32 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 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 (*.f32 (sqrt.f32 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 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) 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)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))) (*.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)) (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 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) 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 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (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 u2 (*.f32 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 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 (- 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 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #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 -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))))
(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 #s(literal -1 binary32) (*.f32 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)
1
#s(literal 1 binary32)
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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)))))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval55.0ms (0.4%)

Compiler

Compiled 14659 to 2138 computations (85.4% saved)

prune93.0ms (0.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New50325528
Fresh000
Picked011
Done000
Total50326529
Accuracy
99.7%
Counts
529 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
90.8%
(+.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 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
97.9%
(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.8%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.1%
(*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (hypot.f32 #s(literal 1 binary32) u1)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)))
89.0%
(*.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.7%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.8%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶98.8%
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.8%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
90.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.9%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.0%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶77.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 1350 to 803 computations (40.5% saved)

simplify209.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓cost-diff32
(*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))
✓cost-diff6400
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
✓cost-diff6464
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff320
(/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
✓cost-diff320
(/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
✓cost-diff320
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))
✓cost-diff320
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓cost-diff0
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓cost-diff0
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))
✓cost-diff0
(sqrt.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
✓cost-diff0
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
2184×*-lowering-*.f32
2184×*-lowering-*.f64
1812×+-lowering-+.f64
1812×+-lowering-+.f32
1578×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034270
182269
2208232
3794232
43046232
08175232
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)) (cos (* 314159265359/50000000000 u2)))
(sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2))
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
-1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
-1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))))
(/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))
u1
(/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))
(- (+ u1 1) (* (+ u1 1) (* u1 u1)))
(+ u1 1)
1
(* (+ u1 1) (* u1 u1))
(* u1 u1)
(* (+ u1 1) (+ u1 1))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)) (cos (* 314159265359/50000000000 u2)))
(exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1))
(* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)
(log (pow (+ (/ 1 u1) -1) 1/2))
(pow (+ (/ 1 u1) -1) 1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
1/2
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))) #s(literal -1/2 binary32)))
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))) #s(literal -1/2 binary32))
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)
(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)
(* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow (+ (/ 1 u1) -1) -1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)
(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 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))
u1
(/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(- (+ u1 1) (* (+ u1 1) (* u1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (+ u1 1) (* u1 u1))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 u1)
(*.f32 u1 u1)
(* (+ u1 1) (+ u1 1))
(*.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
(* (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)) (cos (* 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)
(neg.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(log (pow (+ (/ 1 u1) -1) 1/2))
(log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(pow (+ (/ 1 u1) -1) 1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
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

localize253.0ms (2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓accuracy99.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy96.5%
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
✓accuracy98.9%
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.6%
(/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
✓accuracy98.6%
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
✓accuracy99.6%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓accuracy99.5%
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓accuracy99.4%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) u1)
✓accuracy99.7%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.6%
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))
✓accuracy99.4%
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.4%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
Results
186.0ms256×0valid
Compiler

Compiled 342 to 36 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-pow: 20.0ms (25.7% of total)
ival-mult: 17.0ms (21.8% of total)
ival-div: 10.0ms (12.8% of total)
ival-sqrt: 9.0ms (11.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (6.4% of total)
ival-cos: 4.0ms (5.1% of total)
ival-exp: 3.0ms (3.9% of total)
ival-add: 3.0ms (3.9% of total)
ival-sub: 3.0ms (3.9% of total)
ival-log: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
23 → 324
Calls
Call 1
Inputs
#<alt (* (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2))>
#<alt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)>
#<alt (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2)))>
#<alt (pow (+ (/ 1 u1) -1) -1/2)>
#<alt (+ (/ 1 u1) -1)>
#<alt (/ 1 u1)>
#<alt (* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))))>
#<alt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))>
#<alt (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))>
#<alt (* (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)) (cos (* 314159265359/50000000000 u2)))>
#<alt (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1))>
#<alt (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)>
#<alt (log (pow (+ (/ 1 u1) -1) 1/2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* (+ u1 1) (+ u1 1))>
#<alt (* (+ u1 1) (* u1 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)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
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#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* -9/16 (sqrt -1)) (* 7/8 (sqrt -1))) u1)) (+ (* -7/8 (sqrt -1)) (* 1/2 (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 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 (+ (log (sqrt u1)) (* -1 (log u1))))>
#<alt (+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* 1/2 u1))>
#<alt (+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* (pow u1 2) (+ 1/4 (* 1/2 (/ 1 u1)))))>
#<alt (+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* (pow u1 2) (+ (* (pow u1 2) (+ (* 1/6 (/ 1 u1)) (* 1/4 (/ 1 (pow u1 2))))) (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (log (sqrt -1)))>
#<alt (- (* -1 (log (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))>
#<alt (- (+ (* -1 (log (sqrt -1))) (/ 1/4 (* (pow u1 2) (pow (sqrt -1) 4)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (log (sqrt -1))) (* 1/4 (/ 1 (* (pow u1 2) (pow (sqrt -1) 4))))) (+ (/ 1/2 (* u1 (pow (sqrt -1) 2))) (* 1/6 (/ 1 (* (pow u1 3) (pow (sqrt -1) 6))))))>
#<alt (* -1 (log (sqrt -1)))>
#<alt (- (* -1 (log (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (log (sqrt -1))) (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 4))))) u1)))>
#<alt (+ (* -1 (log (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (pow (sqrt -1) 4))) (* 1/6 (/ 1 (* u1 (pow (sqrt -1) 6))))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))>
#<alt (+ (log (sqrt u1)) (* -1 (log u1)))>
#<alt (+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1/2 u1)))>
#<alt (+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1 (* (pow u1 2) (+ 1/4 (* 1/2 (/ 1 u1)))))))>
#<alt (+ (log (sqrt u1)) (+ (* -1 (log u1)) (* (pow u1 2) (- (* -1 (* (pow u1 2) (+ (* 1/6 (/ 1 u1)) (* 1/4 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1))))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))>
#<alt (- (+ (log (sqrt -1)) (/ 1/2 (* u1 (pow (sqrt -1) 2)))) (/ 1/4 (* (pow u1 2) (pow (sqrt -1) 4))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1/2 (* u1 (pow (sqrt -1) 2))) (* 1/6 (/ 1 (* (pow u1 3) (pow (sqrt -1) 6)))))) (* 1/4 (/ 1 (* (pow u1 2) (pow (sqrt -1) 4)))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))>
#<alt (+ (log (sqrt -1)) (* -1 (/ (- (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))>
#<alt (+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* u1 (pow (sqrt -1) 6)))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt 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 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
Calls

81 calls:

TimeVariablePointExpression
8.0ms
u2
@inf
(* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
2.0ms
u1
@-inf
(* (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)) (cos (* 314159265359/50000000000 u2)))
2.0ms
u2
@inf
(* (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))

rewrite470.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4242×/-lowering-/.f32
4242×/-lowering-/.f64
3796×*-lowering-*.f32
3796×*-lowering-*.f64
1722×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034157
1182149
21426130
08682130
Stop Event
1×iter limit
1×node limit
Counts
23 → 1100
Calls
Call 1
Inputs
(* (sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)) (cos (* 314159265359/50000000000 u2)))
(sqrt (pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2))
(pow (* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1)) -1/2)
(* (+ (/ 1 u1) -1) (+ (/ 1 u1) -1))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2)))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
(* (sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))))
(/ u1 (/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1))))
(/ (- (+ u1 1) (* (+ u1 1) (* u1 u1))) (* (+ u1 1) (+ u1 1)))
(* (exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)) (cos (* 314159265359/50000000000 u2)))
(exp (* (log (pow (+ (/ 1 u1) -1) 1/2)) -1))
(* (log (pow (+ (/ 1 u1) -1) 1/2)) -1)
(log (pow (+ (/ 1 u1) -1) 1/2))
(* 314159265359/50000000000 u2)
(cos (* 314159265359/50000000000 u2))
(* (+ u1 1) (+ u1 1))
(* (+ u1 1) (* u1 u1))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))))
(fabs.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(fabs.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1/8 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32)))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))
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(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (neg.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.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 #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)) #s(literal 1 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) #s(literal 2 binary32)))
(*.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (exp.f32 (log1p.f32 u1)) (exp.f32 (log1p.f32 u1)))
(+.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 u1 u1) (*.f32 u1 u1))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(fma.f32 (*.f32 u1 u1) u1 (*.f32 u1 u1))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 u1 u1))
(/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))
(/.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))
(/.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 u1 u1)) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 u1 u1))) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)

simplify277.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3550×*-lowering-*.f32
3550×*-lowering-*.f64
2790×+-lowering-+.f64
2790×+-lowering-+.f32
1548×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04834832
116643832
262963749
080533749
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
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)))
(+ (* -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))))
(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)))
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 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(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 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))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
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(* -1 (sqrt -1))
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u1
(* u1 (+ 1 u1))
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(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
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(- (* -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
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(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
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(+ (* (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))))))))
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(* (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))))
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(* (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))))
(sqrt u1)
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(+ (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 (+ (log (sqrt u1)) (* -1 (log u1))))
(+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* 1/2 u1))
(+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* (pow u1 2) (+ 1/4 (* 1/2 (/ 1 u1)))))
(+ (* -1 (+ (log (sqrt u1)) (* -1 (log u1)))) (* (pow u1 2) (+ (* (pow u1 2) (+ (* 1/6 (/ 1 u1)) (* 1/4 (/ 1 (pow u1 2))))) (* 1/2 (/ 1 u1)))))
(* -1 (log (sqrt -1)))
(- (* -1 (log (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (* -1 (log (sqrt -1))) (/ 1/4 (* (pow u1 2) (pow (sqrt -1) 4)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (* -1 (log (sqrt -1))) (* 1/4 (/ 1 (* (pow u1 2) (pow (sqrt -1) 4))))) (+ (/ 1/2 (* u1 (pow (sqrt -1) 2))) (* 1/6 (/ 1 (* (pow u1 3) (pow (sqrt -1) 6))))))
(* -1 (log (sqrt -1)))
(- (* -1 (log (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(+ (* -1 (log (sqrt -1))) (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 4))))) u1)))
(+ (* -1 (log (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (pow (sqrt -1) 4))) (* 1/6 (/ 1 (* u1 (pow (sqrt -1) 6))))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))
(+ (log (sqrt u1)) (* -1 (log u1)))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1/2 u1)))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1 (* (pow u1 2) (+ 1/4 (* 1/2 (/ 1 u1)))))))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* (pow u1 2) (- (* -1 (* (pow u1 2) (+ (* 1/6 (/ 1 u1)) (* 1/4 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (/ 1/2 (* u1 (pow (sqrt -1) 2)))) (/ 1/4 (* (pow u1 2) (pow (sqrt -1) 4))))
(- (+ (log (sqrt -1)) (+ (/ 1/2 (* u1 (pow (sqrt -1) 2))) (* 1/6 (/ 1 (* (pow u1 3) (pow (sqrt -1) 6)))))) (* 1/4 (/ 1 (* (pow u1 2) (pow (sqrt -1) 4)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(+ (log (sqrt -1)) (* -1 (/ (- (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* u1 (pow (sqrt -1) 6)))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) 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)
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))
1
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(+ 1 (* u1 (+ 2 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 u1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
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))))))
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(neg.f32 (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal -1/6 binary32) (*.f32 u1 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32))))) u1)) u1)))
(+ (log (sqrt u1)) (* -1 (log u1)))
(-.f32 (log.f32 (sqrt.f32 u1)) (log.f32 u1))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1/2 u1)))
(+.f32 (-.f32 (log.f32 (sqrt.f32 u1)) (log.f32 u1)) (*.f32 u1 #s(literal -1/2 binary32)))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* -1 (* (pow u1 2) (+ 1/4 (* 1/2 (/ 1 u1)))))))
(-.f32 (-.f32 (log.f32 (sqrt.f32 u1)) (log.f32 u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(+ (log (sqrt u1)) (+ (* -1 (log u1)) (* (pow u1 2) (- (* -1 (* (pow u1 2) (+ (* 1/6 (/ 1 u1)) (* 1/4 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1))))))
(+.f32 (-.f32 (log.f32 (sqrt.f32 u1)) (log.f32 u1)) (*.f32 (*.f32 u1 u1) (-.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (/.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1))
(- (+ (log (sqrt -1)) (/ 1/2 (* u1 (pow (sqrt -1) 2)))) (/ 1/4 (* (pow u1 2) (pow (sqrt -1) 4))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) u1) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) u1))
(- (+ (log (sqrt -1)) (+ (/ 1/2 (* u1 (pow (sqrt -1) 2))) (* 1/6 (/ 1 (* (pow u1 3) (pow (sqrt -1) 6)))))) (* 1/4 (/ 1 (* (pow u1 2) (pow (sqrt -1) 4)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) u1) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) u1)))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1))
(+ (log (sqrt -1)) (* -1 (/ (- (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) u1) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) u1))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* u1 (pow (sqrt -1) 6)))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u1 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))) (/.f32 #s(literal -1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) u1)) 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)
1
#s(literal 1 binary32)
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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)))))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1
#s(literal 1 binary32)
(+ 1 (* 2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32)))
(+ 1 (* u1 (+ 2 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 2 binary32))))
(+ 1 (* u1 (+ 2 u1)))
(+.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 u1))
(*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))

eval249.0ms (2%)

Compiler

Compiled 55890 to 5539 computations (90.1% saved)

prune244.0ms (1.9%)

Pruning

53 alts after pruning (50 fresh and 3 done)

PrunedKeptTotal
New1688391727
Fresh91120
Picked325
Done011
Total1700531753
Accuracy
99.8%
Counts
1753 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
77.3%
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
77.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
90.8%
(+.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 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
97.9%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.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 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 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)))
98.5%
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 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)))
95.1%
(*.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) 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 binary32) u1))))
74.6%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
93.0%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
▶86.6%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓98.8%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.9%
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (pow.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.8%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.3%
(*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.7%
(*.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)))))
86.8%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
86.3%
(*.f32 (sqrt.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.7%
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
90.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.9%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 u1 #s(literal 1 binary32))))
▶98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (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) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.2%
(*.f32 (exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (log.f32 (exp.f32 #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.8%
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
77.2%
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
✓77.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.2%
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
77.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
77.1%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.9%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
72.3%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
73.7%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
▶63.3%
(sqrt.f32 u1)
Compiler

Compiled 2610 to 1539 computations (41% saved)

simplify184.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff1408
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))
✓cost-diff1408
(/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))
✓cost-diff1408
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))))
✓cost-diff1408
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff128
(*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓cost-diff128
(/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓cost-diff128
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
✓cost-diff128
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓cost-diff0
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
✓cost-diff0
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
6442×*-lowering-*.f32
6442×*-lowering-*.f64
1696×times-frac
1630×distribute-rgt-neg-in
1580×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043419
1135384
2550273
35009268
08709268
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))
(pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4)
(* (/ u1 (- 1 u1)) (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
1/4
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
u1
(* (pow (+ (/ 1 u1) -1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
-1/2
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
u2
(* u2 -98696044010906577398881/5000000000000000000000)
-98696044010906577398881/5000000000000000000000
(* (sqrt (/ u1 (* u1 (+ (/ 1 u1) -1)))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (* u1 (+ (/ 1 u1) -1))))
(/ u1 (* u1 (+ (/ 1 u1) -1)))
u1
(* u1 (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
-1
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
u1
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1)))))
(* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1)))
(+ (* u1 u1) -1)
(* u1 u1)
-1
(* (+ 1 u1) (+ 1 u1))
(+ 1 u1)
1
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))
(* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1))
(+ u1 -1)
(* u1 (* u1 (+ 1 u1)))
(* u1 (+ 1 u1))
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4)
(pow.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(* (/ u1 (- 1 u1)) (/ u1 (- 1 u1)))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/ 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)
1/4
#s(literal 1/4 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
(* (pow (+ (/ 1 u1) -1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(pow (+ (/ 1 u1) -1) -1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 (* u1 (+ (/ 1 u1) -1)))) (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 (* u1 (+ (/ 1 u1) -1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (* u1 (+ (/ 1 u1) -1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(* u1 (+ (/ 1 u1) -1))
(-.f32 #s(literal 1 binary32) u1)
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
-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
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))
u1
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))
(- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1)))))
(*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))
(* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(+ (* u1 u1) -1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
-1
#s(literal -1 binary32)
(* (+ 1 u1) (+ 1 u1))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))
(* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))
(+ u1 -1)
(+.f32 u1 #s(literal -1 binary32))
(* u1 (* u1 (+ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #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

localize316.0ms (2.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.8%
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓accuracy98.6%
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓accuracy98.4%
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #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 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))
✓accuracy99.6%
(/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓accuracy99.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.6%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓accuracy99.5%
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓accuracy99.3%
(*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
✓accuracy99.0%
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.6%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.5%
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.7%
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
203.0ms247×0valid
28.0ms9×5exit
Compiler

Compiled 546 to 45 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 29.0ms (29.2% of total)
ival-pow: 17.0ms (17.1% of total)
...c/correct-round.rkt:119:19: 15.0ms (15.1% of total)
ival-div: 10.0ms (10.1% of total)
backward-pass: 7.0ms (7% of total)
ival-add: 6.0ms (6% of total)
ival-sqrt: 6.0ms (6% of total)
ival-sub: 4.0ms (4% of total)
ival-cos: 4.0ms (4% of total)
const: 1.0ms (1% of total)

series101.0ms (0.8%)

Counts
22 → 312
Calls
Call 1
Inputs
#<alt (* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))>
#<alt (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4)>
#<alt (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (sqrt u1)>
#<alt (* (pow (+ (/ 1 u1) -1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))>
#<alt (pow (+ (/ 1 u1) -1) -1/2)>
#<alt (+ (/ 1 u1) -1)>
#<alt (/ 1 u1)>
#<alt (* (sqrt (/ u1 (* u1 (+ (/ 1 u1) -1)))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (* u1 (+ (/ 1 u1) -1))))>
#<alt (/ u1 (* u1 (+ (/ 1 u1) -1)))>
#<alt (* u1 (+ (/ 1 u1) -1))>
#<alt (* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))>
#<alt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))>
#<alt (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 -98696044010906577398881/5000000000000000000000)>
#<alt (* u2 (* u2 -98696044010906577398881/5000000000000000000000))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 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))>
#<alt (+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))>
#<alt (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))>
#<alt (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))>
#<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 1>
#<alt (+ 1 (* 1/2 (/ 1 u1)))>
#<alt (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) 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 (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) (+ 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 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1)))) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 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))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))>
#<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))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
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#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -2 u1) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* 2 (pow u1 2)) 2)) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* (pow u1 2) (+ 2 u1)) 2)) 1))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 6) (- (+ 1 (* 2 (/ 1 u1))) (/ 2 (pow u1 3))))>
#<alt (* (pow u1 6) (+ 1 (+ (* -1 (/ (+ 2 (/ 1 u1)) (pow u1 3))) (* 2 (/ 1 u1)))))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))>
#<alt (* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))>
Calls

78 calls:

TimeVariablePointExpression
52.0ms
u1
@0
(* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))
17.0ms
u2
@0
(* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))
5.0ms
u2
@inf
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
2.0ms
u2
@0
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))

rewrite314.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3948×*-lowering-*.f32
3948×*-lowering-*.f64
2156×/-lowering-/.f32
2156×/-lowering-/.f64
1622×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043289
1269254
22426232
08317232
Stop Event
1×iter limit
1×node limit
Counts
22 → 817
Calls
Call 1
Inputs
(* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (cos (* 314159265359/50000000000 u2)))
(pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4)
(* (/ u1 (- 1 u1)) (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(sqrt u1)
(* (pow (+ (/ 1 u1) -1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(pow (+ (/ 1 u1) -1) -1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
(* (sqrt (/ u1 (* u1 (+ (/ 1 u1) -1)))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (* u1 (+ (/ 1 u1) -1))))
(/ u1 (* u1 (+ (/ 1 u1) -1)))
(* u1 (+ (/ 1 u1) -1))
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(* 314159265359/50000000000 u2)
(* u2 -98696044010906577398881/5000000000000000000000)
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
(* (+ 1 u1) (+ 1 u1))
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* u1 (* u1 (+ 1 u1))))
Outputs
(/.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)))
(/.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/8 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (/.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 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32)))
(sqrt.f32 (/.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 -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.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 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)))
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(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 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 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (exp.f32 (log1p.f32 u1)) (exp.f32 (log1p.f32 u1)))
(+.f32 (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))
(+.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 u1 u1)))
(+.f32 (*.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(+.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1))))
(fma.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1))))
(fma.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))
(fma.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(fma.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) u1 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 u1 u1)))
(*.f32 u1 (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 u1 u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) u1)
(*.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(*.f32 (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32))) u1)

simplify310.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4776×*-lowering-*.f32
4776×*-lowering-*.f64
3344×+-lowering-+.f64
3344×+-lowering-+.f32
1598×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05844951
120223993
276153965
080313965
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))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(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))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
1
(+ 1 (* 2 (/ 1 u1)))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))
1
(+ 1 (* 2 (/ 1 u1)))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
(sqrt u1)
(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)))
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(+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -3 (sqrt (/ 1 u1))) (* 7/2 (sqrt (/ 1 u1)))))))))))
(sqrt -1)
(+ (sqrt -1) (+ (* 2 (/ (sqrt -1) u1)) (/ 3/2 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (/ (sqrt -1) (pow u1 2)))))))
(+ (sqrt -1) (+ (* -1 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 1/2 (/ (- 13 (* -3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (+ (/ 3/2 (* (pow u1 3) (sqrt -1))) (/ (sqrt -1) (pow u1 2))))))))))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (- (* -2 (sqrt -1)) (* 3/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1))))) u1))) (* 3/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 13 (* 3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (+ (* 9/4 (/ 1 (pow (sqrt -1) 3))) (* 7 (/ 1 (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1)))))) u1))) (* 3/2 (/ 1 (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)
(* -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)
(* -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))
1
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(+ 1 (* u1 (+ 2 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -2 u1) 1))
(* (pow u1 2) (- (* u1 (- (* 2 (pow u1 2)) 2)) 1))
(* (pow u1 2) (- (* u1 (- (* (pow u1 2) (+ 2 u1)) 2)) 1))
(pow u1 6)
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 6) (- (+ 1 (* 2 (/ 1 u1))) (/ 2 (pow u1 3))))
(* (pow u1 6) (+ 1 (+ (* -1 (/ (+ 2 (/ 1 u1)) (pow u1 3))) (* 2 (/ 1 u1)))))
(pow u1 6)
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))
(* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))
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 (*.f32 u1 #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 (*.f32 (sqrt.f32 u1) (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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.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)))) (* (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 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.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 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 u1)))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32)) u1))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(-.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -3/8 binary32)) u1)) u1))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5/16 binary32)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.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 u1 u1) (*.f32 #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 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.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 (/ (+ 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 -3/8 binary32) (*.f32 u1 (*.f32 u1 (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 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1)) (neg.f32 u1))) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 3 binary32))))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 (+.f32 #s(literal 3 binary32) (*.f32 u1 #s(literal 4 binary32))))))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u1 u1))))
(+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u1 u1)))) (/.f32 #s(literal 4 binary32) (*.f32 u1 (*.f32 u1 u1))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
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(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (* -2 u1) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
(* (pow u1 2) (- (* u1 (- (* 2 (pow u1 2)) 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u1 u1))))))
(* (pow u1 2) (- (* u1 (- (* (pow u1 2) (+ 2 u1)) 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 2 binary32)))))))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (- (+ 1 (* 2 (/ 1 u1))) (/ 2 (pow u1 3))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) (/.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* (pow u1 6) (+ 1 (+ (* -1 (/ (+ 2 (/ 1 u1)) (pow u1 3))) (* 2 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1)))))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 u1 u1))) u1)))
(* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 u1 u1)))) u1)))

eval282.0ms (2.2%)

Compiler

Compiled 121544 to 8928 computations (92.7% saved)

prune743.0ms (5.8%)

Pruning

67 alts after pruning (61 fresh and 6 done)

PrunedKeptTotal
New1962261988
Fresh103545
Picked235
Done033
Total1974672041
Accuracy
99.9%
Counts
2041 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
77.3%
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
63.2%
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
▶63.3%
(pow.f32 u1 #s(literal 1/2 binary32))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
77.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
63.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
98.6%
(*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.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 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.6%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.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)))))
86.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
86.7%
(*.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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
95.1%
(*.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) 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 binary32) u1))))
▶68.1%
(*.f32 (pow.f32 (/.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)))))
74.6%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
93.0%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
✓86.6%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓98.8%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.6%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 3 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (pow.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.7%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.8%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.5%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
75.3%
(*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.5%
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.7%
(*.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)))))
86.8%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶76.8%
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
98.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 u1 #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.2%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
96.7%
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
85.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶92.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
90.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 u1 #s(literal 1 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (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) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.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 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.2%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
68.2%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
74.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.2%
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
✓77.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.2%
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
77.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
77.1%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.9%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
72.3%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
73.7%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
✓63.3%
(sqrt.f32 u1)
20.1%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 3011 to 1891 computations (37.2% saved)

simplify203.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff448
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))
✓cost-diff448
(/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))
✓cost-diff448
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))))
✓cost-diff448
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff384
(-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
✓cost-diff384
(/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))
✓cost-diff384
(sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))))
✓cost-diff384
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (/.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)))))
✓cost-diff0
(pow.f32 u1 #s(literal 1/2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
✓cost-diff64
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
✓cost-diff64
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
2534×*-lowering-*.f32
2534×*-lowering-*.f64
1516×fma-lowering-fma.f32
1516×fma-lowering-fma.f64
1278×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050503
1193458
2881416
36134412
08003412
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1)))
(* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))
(/ 1 (+ (/ (/ 1 u1) u1) -1))
1
(+ (/ (/ 1 u1) u1) -1)
(/ (/ 1 u1) u1)
(/ 1 u1)
u1
-1
(+ (/ 1 u1) 1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(pow u1 1/2)
u1
1/2
(* (pow (/ 1 u1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(pow (/ 1 u1) -1/2)
(/ 1 u1)
1
u1
-1/2
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
u2
(* u2 -98696044010906577398881/5000000000000000000000)
-98696044010906577398881/5000000000000000000000
(* (* (+ u1 1) (+ u1 1)) (sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))))
(* (+ u1 1) (+ u1 1))
(+ u1 1)
u1
1
(sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))))
(/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))
(* u1 (+ u1 -1))
(+ u1 -1)
-1
(- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))
(* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))
(+ (* u1 u1) -1)
(* u1 u1)
(* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
u1
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2))))
(* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1)))
(+ (* u1 u1) -1)
(* u1 u1)
-1
(* (+ 1 u1) (+ 1 u1))
(+ 1 u1)
1
(* (* u1 u1) (+ -1 (* u1 -2)))
(+ -1 (* u1 -2))
(* u1 -2)
-2
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))
(* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1))
(+ u1 -1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
(/ 1 (+ (/ (/ 1 u1) u1) -1))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ (/ (/ 1 u1) u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))
(/ (/ 1 u1) u1)
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
u1
-1
#s(literal -1 binary32)
(+ (/ 1 u1) 1)
(+.f32 #s(literal 1 binary32) (/.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
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
(* (pow (/ 1 u1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(*.f32 (pow.f32 (/.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)))))
(pow (/ 1 u1) -1/2)
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1/2
#s(literal -1/2 binary32)
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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)
(* (* (+ u1 1) (+ u1 1)) (sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(* (+ u1 1) (+ u1 1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
u1
1
#s(literal 1 binary32)
(sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))))
(sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))
(/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* u1 (+ u1 -1))
(*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))
(+ u1 -1)
(+.f32 u1 #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))
(*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(+ (* u1 u1) -1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1 binary32) u1))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1 binary32) u1)))
u1
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1 binary32) u1))
(- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2))))
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32))))))
(* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(+ (* u1 u1) -1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
-1
#s(literal -1 binary32)
(* (+ 1 u1) (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (* u1 u1) (+ -1 (* u1 -2)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
(+ -1 (* u1 -2))
(+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))
(* u1 -2)
(*.f32 u1 #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(+ u1 -1)
(+.f32 u1 #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

localize365.0ms (2.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.8%
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
✓accuracy98.6%
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓accuracy98.4%
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1))))
✓accuracy99.0%
(/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))
✓accuracy98.9%
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
✓accuracy98.8%
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
✓accuracy98.6%
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
✓accuracy99.5%
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
✓accuracy99.5%
(*.f32 (pow.f32 (/.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)))))
✓accuracy99.3%
(*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
✓accuracy99.0%
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓accuracy100.0%
(pow.f32 u1 #s(literal 1/2 binary32))
✓accuracy99.2%
(/.f32 (/.f32 #s(literal 1 binary32) u1) u1)
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))
✓accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
✓accuracy98.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
262.0ms254×0valid
1.0ms2×0invalid
Compiler

Compiled 656 to 52 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 35.0ms (35.6% of total)
ival-add: 14.0ms (14.2% of total)
ival-pow: 14.0ms (14.2% of total)
ival-div: 12.0ms (12.2% of total)
...c/correct-round.rkt:119:19: 10.0ms (10.2% of total)
ival-sqrt: 6.0ms (6.1% of total)
ival-cos: 4.0ms (4.1% of total)
ival-sub: 3.0ms (3% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
25 → 336
Calls
Call 1
Inputs
#<alt (* (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1)))>
#<alt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))>
#<alt (/ 1 (+ (/ (/ 1 u1) u1) -1))>
#<alt (pow u1 1/2)>
#<alt (* (pow (/ 1 u1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))>
#<alt (pow (/ 1 u1) -1/2)>
#<alt (/ 1 u1)>
#<alt (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))>
#<alt (* (* (+ u1 1) (+ u1 1)) (sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))))>
#<alt (sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))))>
#<alt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))>
#<alt (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))>
#<alt (* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))>
#<alt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))>
#<alt (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (/ (/ 1 u1) u1)>
#<alt (* u2 -98696044010906577398881/5000000000000000000000)>
#<alt (* u2 (* u2 -98696044010906577398881/5000000000000000000000))>
#<alt (* (+ u1 1) (+ u1 1))>
#<alt (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (* (* u1 u1) (+ -1 (* u1 -2)))>
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 (pow u1 2)) 1)))>
#<alt (+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))))>
#<alt (+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))))))>
#<alt (+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 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 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 (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (pow u1 2)))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (pow u1 2))))>
#<alt (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (pow u1 2))))>
#<alt (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))>
#<alt (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))>
#<alt (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt (/ 1 u1)>
#<alt 1>
#<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 (sqrt u1)>
#<alt (+ (sqrt u1) (* 2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (* -3/2 (sqrt (/ 1 u1))))))))>
#<alt (+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -3 (sqrt (/ 1 u1))) (* 7/2 (sqrt (/ 1 u1)))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (+ (* 2 (/ (sqrt -1) u1)) (/ 3/2 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (/ (sqrt -1) (pow u1 2)))))))>
#<alt (+ (sqrt -1) (+ (* -1 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 1/2 (/ (- 13 (* -3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (+ (/ 3/2 (* (pow u1 3) (sqrt -1))) (/ (sqrt -1) (pow u1 2))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -2 (sqrt -1)) (* 3/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1))))) u1))) (* 3/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 13 (* 3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (+ (* 9/4 (/ 1 (pow (sqrt -1) 3))) (* 7 (/ 1 (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1)))))) u1))) (* 3/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -3/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -3/2 (sqrt (/ 1 u1))) (* 7/2 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 13 (* 9/4 (/ 1 u1))))) (* 7/2 (sqrt (/ 1 u1))))))))>
#<alt (/ (sqrt -1) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (* 3/2 (/ 1 (* u1 (sqrt -1))))) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 3/2 (* u1 (sqrt -1))))) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 1/2 (/ (- 13 (* -3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 3/2 (* u1 (sqrt -1)))))) (pow u1 2))>
#<alt (/ (sqrt -1) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (* 3/2 (/ 1 (* u1 (sqrt -1))))) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 3/2 (/ 1 (sqrt -1)))) u1))) (pow u1 2))>
#<alt (/ (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 13 (* 3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 3/2 (/ 1 (sqrt -1)))) u1))) (pow u1 2))>
#<alt u1>
#<alt (* u1 (+ 1 (* -3 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 7 u1) 3))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 7 (* -13 u1))) 3))))>
#<alt (/ -1 (pow u1 4))>
#<alt (/ (- (* 3 (/ 1 u1)) 1) (pow u1 4))>
#<alt (/ (- (* 3 (/ 1 u1)) (+ 1 (/ 7 (pow u1 2)))) (pow u1 4))>
#<alt (/ (- (+ (* 3 (/ 1 u1)) (* 13 (/ 1 (pow u1 3)))) (+ 1 (/ 7 (pow u1 2)))) (pow u1 4))>
#<alt (/ -1 (pow u1 4))>
#<alt (/ (- (* 3 (/ 1 u1)) 1) (pow u1 4))>
#<alt (/ (- (* -1 (/ (- (* 7 (/ 1 u1)) 3) u1)) 1) (pow u1 4))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 13 (/ 1 u1)) 7) u1)) 3) u1)) 1) (pow u1 4))>
#<alt -1>
#<alt (- (* -2 u1) 1)>
#<alt (- (* u1 (- u1 2)) 1)>
#<alt (- (* u1 (- (* u1 (+ 1 (* 4 u1))) 2)) 1)>
#<alt (* -1 (pow u1 6))>
#<alt (* -1 (* (pow u1 6) (+ 1 (* 2 (/ 1 u1)))))>
#<alt (* (pow u1 6) (- (/ 1 (pow u1 2)) (+ 1 (* 2 (/ 1 u1)))))>
#<alt (* (pow u1 6) (- (+ (/ 1 (pow u1 2)) (* 4 (/ 1 (pow u1 3)))) (+ 1 (* 2 (/ 1 u1)))))>
#<alt (* -1 (pow u1 6))>
#<alt (* -1 (* (pow u1 6) (+ 1 (* 2 (/ 1 u1)))))>
#<alt (* (pow u1 6) (- (* -1 (/ (- 2 (/ 1 u1)) u1)) 1))>
#<alt (* (pow u1 6) (- (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 4 (/ 1 u1))) u1))) u1)) 1))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* u1 (+ (* 2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* u1 (+ (* 2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* -3 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 7/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (* u1 (cos (* 314159265359/50000000000 u2)))>
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))>
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 51/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))))>
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -297/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 51/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 51/4 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))))))))>
#<alt (* -1 (* u1 (cos (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (* 5/2 (cos (* 314159265359/50000000000 u2)))) u1)))))>
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (cos (* 314159265359/50000000000 u2))) (* 51/8 (cos (* 314159265359/50000000000 u2))))) u1)) (* 5/2 (cos (* 314159265359/50000000000 u2))))) u1)))))>
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -51/4 (cos (* 314159265359/50000000000 u2))) (+ (* 5/2 (cos (* 314159265359/50000000000 u2))) (* 297/16 (cos (* 314159265359/50000000000 u2))))) u1)) (* 51/8 (cos (* 314159265359/50000000000 u2)))))) u1)) (* 5/2 (cos (* 314159265359/50000000000 u2))))) u1)))))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))>
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))) (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)))>
#<alt (+ (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))))))>
#<alt (+ (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))))))))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (* -3/2 (sqrt (/ 1 u1))))))))>
#<alt (+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -3 (sqrt (/ 1 u1))) (* 7/2 (sqrt (/ 1 u1)))))))))))>
#<alt u1>
#<alt (* u1 (- 1 (* 1/2 (/ 1 u1))))>
#<alt (* u1 (- (+ 1 (/ 19/8 (pow u1 2))) (* 1/2 (/ 1 u1))))>
#<alt (* u1 (- (+ 1 (/ 19/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 133/16 (/ 1 (pow u1 3))))))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- 1/2 (* 19/8 (/ 1 u1))) u1)))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 19/8 (* 133/16 (/ 1 u1))) u1))) u1)))))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (- (+ 1 (/ 5 (pow u1 2))) (/ 1 u1)))>
#<alt (* (pow u1 2) (- (+ 1 (/ 5 (pow u1 2))) (+ (/ 1 u1) (* 19 (/ 1 (pow u1 3))))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 1 (* 5 (/ 1 u1))) u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 5 (* 19 (/ 1 u1))) u1))) u1))))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- (* -2 (pow u1 4)) 1)))>
#<alt (+ 1 (* u1 (- (* (pow u1 4) (- (* 5 u1) 2)) 1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 u1)) (/ 4 (pow u1 2))) u1)>
#<alt (/ (- (+ 1 (+ (/ 1 u1) (* 10 (/ 1 (pow u1 3))))) (/ 4 (pow u1 2))) u1)>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (/ 1 u1)) u1)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 4 (/ 1 u1))) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (- 4 (* 10 (/ 1 u1))) u1))) u1)) 1) u1))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 u2)>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -2 u1) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* 2 (pow u1 2)) 2)) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* (pow u1 2) (+ 2 u1)) 2)) 1))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 6) (- (+ 1 (* 2 (/ 1 u1))) (/ 2 (pow u1 3))))>
#<alt (* (pow u1 6) (+ 1 (+ (* -1 (/ (+ 2 (/ 1 u1)) (pow u1 3))) (* 2 (/ 1 u1)))))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))>
#<alt (* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -2 u1) 1))>
#<alt (* (pow u1 2) (- (* -2 u1) 1))>
#<alt (* (pow u1 2) (- (* -2 u1) 1))>
#<alt (* -2 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
#<alt (* -2 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))>
Calls

84 calls:

TimeVariablePointExpression
18.0ms
u1
@inf
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
3.0ms
u1
@inf
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2)))

rewrite338.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3192×*-lowering-*.f32
3192×*-lowering-*.f64
1544×pow-lowering-pow.f64
1544×pow-lowering-pow.f32
1404×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050364
1378304
23758280
08157280
Stop Event
1×iter limit
1×node limit
Counts
25 → 558
Calls
Call 1
Inputs
(* (sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1)))
(* (/ 1 (+ (/ (/ 1 u1) u1) -1)) (+ (/ 1 u1) 1))
(/ 1 (+ (/ (/ 1 u1) u1) -1))
(pow u1 1/2)
(* (pow (/ 1 u1) -1/2) (+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000))))
(pow (/ 1 u1) -1/2)
(/ 1 u1)
(+ 1 (* u2 (* u2 -98696044010906577398881/5000000000000000000000)))
(* (* (+ u1 1) (+ u1 1)) (sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))))
(sqrt (/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))))
(/ (* u1 (+ u1 -1)) (- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))))
(- (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)) (* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1))))
(* (sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))))
(/ u1 (/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1)))))
(/ (- (* (+ (* u1 u1) -1) (* (+ 1 u1) (+ 1 u1))) (* (* u1 u1) (+ -1 (* u1 -2)))) (* (* (* (+ 1 u1) (+ 1 u1)) (+ u1 -1)) (* (+ 1 u1) (+ 1 u1))))
(* 314159265359/50000000000 u2)
(/ (/ 1 u1) u1)
(* u2 -98696044010906577398881/5000000000000000000000)
(* u2 (* u2 -98696044010906577398881/5000000000000000000000))
(* (+ u1 1) (+ u1 1))
(* (* u1 u1) (* (* (+ u1 1) (+ u1 1)) (+ (* u1 u1) -1)))
(* (+ 1 u1) (+ 1 u1))
(* (* u1 u1) (+ -1 (* u1 -2)))
Outputs
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #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 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/4 binary32))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (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)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1) #s(literal -3 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (log.f32 u1))))
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(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.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 (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.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) u1))) (+.f32 (*.f32 (*.f32 u1 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 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) 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) u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) #s(literal 2 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))))
(fma.f32 (*.f32 u1 u1) #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))))
(/.f32 (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -8 binary32)))) (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32))))))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32)))))) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal -2 binary32))))))
(/.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -8 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal -2 binary32)) (-.f32 (*.f32 u1 #s(literal -2 binary32)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -8 binary32))) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal -2 binary32)) (-.f32 (*.f32 u1 #s(literal -2 binary32)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 4 binary32))) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))) (*.f32 u1 u1))
(*.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))) u1)

simplify369.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4860×*-lowering-*.f32
4860×*-lowering-*.f64
3732×+-lowering-+.f64
3732×+-lowering-+.f32
1502×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06984382
123743584
082063584
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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)))
(+ (* -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 (pow u1 2)) 1)))
(+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))))
(+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))))))
(+ (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 (/ 1 u1)) (- (/ 1 (pow u1 2)) 1))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
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)
(pow u1 2)
(* (pow u1 2) (+ 1 (pow u1 2)))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
-1
(* -1 (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1)
(- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2))))
-1
(* -1 (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1)
(- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2))))
(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)))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(sqrt u1)
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (sqrt u1) (/ 1 (pow u2 2)))))
(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 u1)
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(/ 1 u1)
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(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
(/ 1 u1)
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1
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(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
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(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
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(* -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))
(sqrt u1)
(+ (sqrt u1) (* 2 (sqrt (pow u1 3))))
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(+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -3 (sqrt (/ 1 u1))) (* 7/2 (sqrt (/ 1 u1)))))))))))
(sqrt -1)
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(+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (/ (sqrt -1) (pow u1 2)))))))
(+ (sqrt -1) (+ (* -1 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 1/2 (/ (- 13 (* -3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 2 (/ (sqrt -1) u1)) (+ (* 3 (/ 1 (* (pow u1 2) (sqrt -1)))) (+ (/ 3/2 (* u1 (sqrt -1))) (+ (/ 3/2 (* (pow u1 3) (sqrt -1))) (/ (sqrt -1) (pow u1 2))))))))))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (- (* -2 (sqrt -1)) (* 3/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1))))) u1))) (* 3/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (+ (* -2 (sqrt -1)) (* -1 (/ (+ (sqrt -1) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 13 (* 3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (+ (* 9/4 (/ 1 (pow (sqrt -1) 3))) (* 7 (/ 1 (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3 (/ 1 (sqrt -1)))))) u1))) (* 3/2 (/ 1 (sqrt -1)))) u1)))
(sqrt u1)
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(+ (sqrt u1) (* (pow u1 2) (+ (* -3/2 (sqrt (/ 1 u1))) (* 7/2 (sqrt u1)))))
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(/ (sqrt -1) (pow u1 2))
(/ (+ (sqrt -1) (* 3/2 (/ 1 (* u1 (sqrt -1))))) (pow u1 2))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 3/2 (* u1 (sqrt -1))))) (pow u1 2))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 1/2 (/ (- 13 (* -3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 3/2 (* u1 (sqrt -1)))))) (pow u1 2))
(/ (sqrt -1) (pow u1 2))
(/ (+ (sqrt -1) (* 3/2 (/ 1 (* u1 (sqrt -1))))) (pow u1 2))
(/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 3/2 (/ 1 (sqrt -1)))) u1))) (pow u1 2))
(/ (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 13 (* 3/2 (/ (+ 7 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 3/2 (/ 1 (sqrt -1)))) u1))) (pow u1 2))
u1
(* u1 (+ 1 (* -3 u1)))
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(/ -1 (pow u1 4))
(/ (- (* 3 (/ 1 u1)) 1) (pow u1 4))
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(/ (- (+ (* 3 (/ 1 u1)) (* 13 (/ 1 (pow u1 3)))) (+ 1 (/ 7 (pow u1 2)))) (pow u1 4))
(/ -1 (pow u1 4))
(/ (- (* 3 (/ 1 u1)) 1) (pow u1 4))
(/ (- (* -1 (/ (- (* 7 (/ 1 u1)) 3) u1)) 1) (pow u1 4))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 13 (/ 1 u1)) 7) u1)) 3) u1)) 1) (pow u1 4))
-1
(- (* -2 u1) 1)
(- (* u1 (- u1 2)) 1)
(- (* u1 (- (* u1 (+ 1 (* 4 u1))) 2)) 1)
(* -1 (pow u1 6))
(* -1 (* (pow u1 6) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 6) (- (/ 1 (pow u1 2)) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 6) (- (+ (/ 1 (pow u1 2)) (* 4 (/ 1 (pow u1 3)))) (+ 1 (* 2 (/ 1 u1)))))
(* -1 (pow u1 6))
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(* (pow u1 6) (- (* -1 (/ (- 2 (/ 1 u1)) u1)) 1))
(* (pow u1 6) (- (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 4 (/ 1 u1))) u1))) u1)) 1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
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(+ (* u1 (+ (* 2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* 2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* -3 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 7/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* u1 (cos (* 314159265359/50000000000 u2)))
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 51/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))))
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -297/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -5 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* 51/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 51/4 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))))))))
(* -1 (* u1 (cos (* 314159265359/50000000000 u2))))
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (* 5/2 (cos (* 314159265359/50000000000 u2)))) u1)))))
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (cos (* 314159265359/50000000000 u2))) (* 51/8 (cos (* 314159265359/50000000000 u2))))) u1)) (* 5/2 (cos (* 314159265359/50000000000 u2))))) u1)))))
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -2 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (cos (* 314159265359/50000000000 u2)) (+ (* -5 (cos (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -51/4 (cos (* 314159265359/50000000000 u2))) (+ (* 5/2 (cos (* 314159265359/50000000000 u2))) (* 297/16 (cos (* 314159265359/50000000000 u2))))) u1)) (* 51/8 (cos (* 314159265359/50000000000 u2)))))) u1)) (* 5/2 (cos (* 314159265359/50000000000 u2))))) u1)))))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))) (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)))
(+ (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))))))
(+ (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (pow u2 2) (pow (+ 1 u1) 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (pow (+ 1 u1) 2))))))))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (* (pow (+ 1 u1) 2) (- (pow u1 2) 1)) (* (pow u1 2) (- (* -2 u1) 1))))) (* (cos (* 314159265359/50000000000 u2)) (pow (+ 1 u1) 2)))
(sqrt u1)
(+ (sqrt u1) (* 2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (* -3/2 (sqrt (/ 1 u1))))))))
(+ (sqrt u1) (* u1 (+ (* 2 (sqrt u1)) (* u1 (+ (sqrt u1) (+ (* -3/2 (sqrt (/ 1 u1))) (* u1 (+ (* -3 (sqrt (/ 1 u1))) (* 7/2 (sqrt (/ 1 u1)))))))))))
u1
(* u1 (- 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (/ 19/8 (pow u1 2))) (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (/ 19/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 133/16 (/ 1 (pow u1 3))))))
(* -1 u1)
(* -1 (* u1 (- 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1/2 (* 19/8 (/ 1 u1))) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 19/8 (* 133/16 (/ 1 u1))) u1))) u1)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* (pow u1 2) (- (+ 1 (/ 5 (pow u1 2))) (/ 1 u1)))
(* (pow u1 2) (- (+ 1 (/ 5 (pow u1 2))) (+ (/ 1 u1) (* 19 (/ 1 (pow u1 3))))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 1 (* 5 (/ 1 u1))) u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 5 (* 19 (/ 1 u1))) u1))) u1))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* -2 (pow u1 4)) 1)))
(+ 1 (* u1 (- (* (pow u1 4) (- (* 5 u1) 2)) 1)))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 u1)) (/ 4 (pow u1 2))) u1)
(/ (- (+ 1 (+ (/ 1 u1) (* 10 (/ 1 (pow u1 3))))) (/ 4 (pow u1 2))) u1)
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(* -1 (/ (- (* -1 (/ (- 1 (* 4 (/ 1 u1))) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (- 4 (* 10 (/ 1 u1))) u1))) u1)) 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)
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 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)
(* -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))
1
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(+ 1 (* u1 (+ 2 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -2 u1) 1))
(* (pow u1 2) (- (* u1 (- (* 2 (pow u1 2)) 2)) 1))
(* (pow u1 2) (- (* u1 (- (* (pow u1 2) (+ 2 u1)) 2)) 1))
(pow u1 6)
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 6) (- (+ 1 (* 2 (/ 1 u1))) (/ 2 (pow u1 3))))
(* (pow u1 6) (+ 1 (+ (* -1 (/ (+ 2 (/ 1 u1)) (pow u1 3))) (* 2 (/ 1 u1)))))
(pow u1 6)
(* (pow u1 6) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))
(* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))
1
(+ 1 (* 2 u1))
(+ 1 (* u1 (+ 2 u1)))
(+ 1 (* u1 (+ 2 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -2 u1) 1))
(* (pow u1 2) (- (* -2 u1) 1))
(* (pow u1 2) (- (* -2 u1) 1))
(* -2 (pow u1 3))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(* -2 (pow u1 3))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
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))))
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(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 6) (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow u1 2))) 2) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 u1 u1))) u1)))
(* (pow u1 6) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))) 2) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (/.f32 #s(literal 2 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 (+ 2 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 2 binary32))))
(+ 1 (* u1 (+ 2 u1)))
(+.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 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #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 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (* -2 u1) 1))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))))
(* (pow u1 2) (- (* -2 u1) 1))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))))
(* (pow u1 2) (- (* -2 u1) 1))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32)))))
(* -2 (pow u1 3))
(*.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -2 binary32)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -2 (pow u1 3))
(*.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -2 binary32)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* (pow u1 3) (+ 2 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)))

eval183.0ms (1.4%)

Compiler

Compiled 49452 to 4307 computations (91.3% saved)

prune363.0ms (2.9%)

Pruning

79 alts after pruning (71 fresh and 8 done)

PrunedKeptTotal
New1161251186
Fresh104656
Picked325
Done066
Total1174791253
Accuracy
99.9%
Counts
1253 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
63.2%
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
63.2%
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
77.3%
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
63.2%
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
✓63.3%
(pow.f32 u1 #s(literal 1/2 binary32))
68.2%
(/.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
77.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
63.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
86.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
86.7%
(*.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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
95.1%
(*.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.2%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
68.1%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
68.0%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
74.6%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) u2) u2)))
93.0%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
✓86.6%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
✓98.8%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.6%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 3 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.2%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
96.2%
(*.f32 (pow.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.7%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.8%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
86.5%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
75.3%
(*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.5%
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.7%
(*.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)))))
86.8%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.6%
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
66.3%
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
20.3%
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 u1 #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.2%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
68.0%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
16.9%
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
85.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32)))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -2 binary32))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (*.f32 (*.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) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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))))))))
90.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.0%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 #s(literal -2 binary32) (*.f32 u1 #s(literal 5 binary32))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal -2 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 u1 #s(literal 1 binary32))))
74.8%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) u1)) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))) (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) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.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 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.0%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.2%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
68.2%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
4.9%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
74.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u1)))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.8%
(*.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.2%
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
77.2%
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
✓77.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.2%
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
77.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
77.1%
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
69.9%
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
72.3%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
73.7%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
✓63.3%
(sqrt.f32 u1)
20.1%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 4349 to 1651 computations (62% saved)

regimes366.0ms (2.9%)

Counts
116 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
(*.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 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.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 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 3 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))) (fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 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:

66.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
53.0ms
u1
44.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
39.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
34.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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)

regimes143.0ms (1.1%)

Counts
54 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
(*.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 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.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 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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:

35.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
17.0ms
u2
17.0ms
cosTheta_i
15.0ms
u1
Results
AccuracySegmentsBranch
93.2%1cosTheta_i
96.6%2u1
97.3%2u2
96.6%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
96.6%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes105.0ms (0.8%)

Counts
53 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
(*.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 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.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 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))) (sqrt.f32 (/.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.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))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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

6 calls:

19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
16.0ms
u1
16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
93.2%1u1
93.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.2%1u2
93.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes129.0ms (1%)

Counts
43 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
(*.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 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.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 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
Calls

7 calls:

31.0ms
u2
31.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
cosTheta_i
13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
90.7%1cosTheta_i
90.7%1u1
90.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.7%1u2
90.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes203.0ms (1.6%)

Counts
37 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 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 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3 binary32))))))
(*.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 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

85.0ms
cosTheta_i
48.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u1
11.0ms
u2
Results
AccuracySegmentsBranch
86.8%1u2
86.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
86.8%1cosTheta_i
86.8%1u1
86.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
86.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
86.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes115.0ms (0.9%)

Counts
29 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (pow.f32 (/.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 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
Outputs
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.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

7 calls:

45.0ms
cosTheta_i
25.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
u2
Results
AccuracySegmentsBranch
77.4%1cosTheta_i
81.3%2u2
81.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
77.4%1u1
77.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes20.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Calls

3 calls:

6.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms
u2
6.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
81.3%2u2
81.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes37.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Calls

6 calls:

7.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
u1
5.0ms
u2
Results
AccuracySegmentsBranch
77.4%1u1
77.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
77.4%1u2
77.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
77.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes16.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 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

5 calls:

5.0ms
cosTheta_i
3.0ms
u1
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u2
2.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
69.9%1cosTheta_i
69.9%1u2
69.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
69.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
69.9%1u1
Compiler

Compiled 25 to 20 computations (20% saved)

regimes12.0ms (0.1%)

Accuracy

Total -14.1b remaining (-119.9%)

Threshold costs -14.1b (-119.9%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
Outputs
(sqrt.f32 u1)
Calls

5 calls:

2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
cosTheta_i
2.0ms
u1
2.0ms
u2
2.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
63.3%1cosTheta_i
63.3%1u1
63.3%1u2
63.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 25 to 20 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5657969117164612
0.6067456603050232
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999935030937195
0.9999955892562866
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999935030937195
0.9999955892562866
Compiler

Compiled 20 to 16 computations (20% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×*-commutative_binary32
20×+-commutative_binary32
4×sub-neg_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049175
180175
284175
386175
487175
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 5033165/8388608 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 4194283/4194304 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 4194283/4194304 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (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 5033165/8388608 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 5033165/8388608 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 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 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 4194283/4194304 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 4194283/4194304 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 4194283/4194304 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 u1)

soundness1.8s (14.4%)

Rules
5346×*-lowering-*.f32
5346×*-lowering-*.f64
4776×*-lowering-*.f32
4776×*-lowering-*.f64
3550×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04834832
116643832
262963749
080533749
01032
14032
223630
3203630
0943530
050364
1378304
23758280
08157280
05844951
120223993
276153965
080313965
0193943
1596815
21923745
36229743
08756743
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
Compiler

Compiled 414 to 229 computations (44.7% saved)

preprocess48.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 552 to 254 computations (54% saved)

end0.0ms (0%)

Profiling

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