Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 14.0s)

analyze470.0ms (3.3%)

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: 294.0ms
...c/correct-round.rkt:119:19: 115.0ms (39.2% of total)
ival-<=: 42.0ms (14.3% of total)
ival-mult: 41.0ms (14% of total)
ival-sin: 32.0ms (10.9% of total)
ival-div: 15.0ms (5.1% of total)
ival-sqrt: 15.0ms (5.1% of total)
ival-sub: 13.0ms (4.4% of total)
ival-and: 12.0ms (4.1% of total)
ival->: 8.0ms (2.7% of total)
const: 1.0ms (0.3% of total)
backward-pass: 1.0ms (0.3% of total)

sample2.4s (16.9%)

Results
2.0s8256×0valid
0.0ms2×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.5s
...c/correct-round.rkt:119:19: 765.0ms (50.9% of total)
ival-<=: 160.0ms (10.6% of total)
ival-mult: 137.0ms (9.1% of total)
ival-sin: 122.0ms (8.1% of total)
ival-sqrt: 81.0ms (5.4% of total)
ival-div: 78.0ms (5.2% of total)
ival-sub: 65.0ms (4.3% of total)
ival-and: 54.0ms (3.6% of total)
ival->: 33.0ms (2.2% of total)
const: 4.0ms (0.3% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess83.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
878×fma-define
858×fnmadd-define
716×sum3-define
588×fmsub-define
528×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036117
178112
2132112
3256110
4586110
51262110
62067110
72710110
82884110
93094110
103275110
113323110
123339110
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))) (sin (* 314159265359/50000000000 u2)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Call 2
Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- -1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* u1 314159265359/50000000000)))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain130.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-u1
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-#s(literal 1 binary32)
00-0-u2
00-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
95.0ms512×0valid
Compiler

Compiled 94 to 35 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
...c/correct-round.rkt:119:19: 14.0ms (32.5% of total)
ival-mult: 8.0ms (18.5% of total)
ival-sin: 8.0ms (18.5% of total)
ival-div: 4.0ms (9.3% of total)
ival-sqrt: 4.0ms (9.3% of total)
ival-sub: 3.0ms (7% of total)
const: 1.0ms (2.3% 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
▶98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify10.0ms (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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
76×sum3-define
36×+-lowering-+.f64
36×+-lowering-+.f32
32×fma-define
26×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize53.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
42.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
...c/correct-round.rkt:119:19: 4.0ms (22.2% of total)
ival-sin: 4.0ms (22.2% of total)
ival-mult: 3.0ms (16.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-sqrt: 2.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
5 → 72
Calls
Call 1
Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
Calls

18 calls:

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

rewrite210.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

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

simplify262.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
5424×*-lowering-*.f32
5424×*-lowering-*.f64
2288×+-lowering-+.f64
2288×+-lowering-+.f32
1850×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0186886
1591771
21926701
36336699
08839699
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 u1)) u1))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (*.f32 #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 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.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 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #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)

eval33.0ms (0.2%)

Compiler

Compiled 6965 to 1147 computations (83.5% saved)

prune78.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New39024414
Fresh000
Picked011
Done000
Total39025415
Accuracy
99.9%
Counts
415 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.1%
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
▶98.0%
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.2%
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
97.9%
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
98.0%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
98.2%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 842 to 653 computations (22.4% saved)

simplify172.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓cost-diff96
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff192
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))
✓cost-diff192
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)))
✓cost-diff192
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓cost-diff64
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
✓cost-diff64
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓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 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff0
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff256
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff256
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff256
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
2330×*-lowering-*.f32
2330×*-lowering-*.f64
1926×fnmadd-define
1860×sum5-define
1628×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032275
174220
2158219
3462214
42458213
08777213
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(* u1 (- 1 u1))
u1
(- 1 u1)
1
(* (- 1 u1) (- 1 u1))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1)))
(* (/ 1 (* u1 (- 1 u1))) (* u1 u1))
(/ 1 (* u1 (- 1 u1)))
1
(* u1 (- 1 u1))
u1
(- 1 u1)
(* u1 u1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ (/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2))) (neg (pow (- 1 u1) 1/2)))
(/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ -1 (pow u1 1/2))
-1
(pow u1 1/2)
u1
1/2
(neg (pow (- 1 u1) 1/2))
(pow (- 1 u1) 1/2)
(- 1 u1)
1
Outputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(* u1 (- 1 u1))
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (- 1 u1) (- 1 u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(* (/ 1 (- 1 u1)) u1)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/ 1 (- 1 u1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(* (/ 1 (* u1 (- 1 u1))) (* u1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/ 1 (* u1 (- 1 u1)))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(* u1 (- 1 u1))
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
(* u1 u1)
(*.f32 u1 u1)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ (/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2))) (neg (pow (- 1 u1) 1/2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ -1 (pow u1 1/2))
(/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
-1
#s(literal -1 binary32)
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
(neg (pow (- 1 u1) 1/2))
(neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 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)

localize220.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.5%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓accuracy99.4%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.0%
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
✓accuracy98.6%
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
Results
160.0ms256×0valid
Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 19.0ms (26.6% of total)
ival-div: 13.0ms (18.2% of total)
ival-pow: 11.0ms (15.4% of total)
...c/correct-round.rkt:119:19: 10.0ms (14% of total)
ival-sqrt: 9.0ms (12.6% of total)
ival-sin: 4.0ms (5.6% of total)
ival-sub: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.1%)

Counts
21 → 324
Calls
Call 1
Inputs
#<alt (* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))>
#<alt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))>
#<alt (* u1 (- 1 u1))>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (* (sqrt (* (/ 1 (- 1 u1)) u1)) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ 1 (- 1 u1)) u1))>
#<alt (* (/ 1 (- 1 u1)) u1)>
#<alt (/ 1 (- 1 u1))>
#<alt (* (sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1)))>
#<alt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1))>
#<alt (/ 1 (* u1 (- 1 u1)))>
#<alt (/ (/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2))) (neg (pow (- 1 u1) 1/2)))>
#<alt (/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2)))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* (- 1 u1) (- 1 u1))>
#<alt (/ -1 (pow u1 1/2))>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<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)>
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#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- u1 2)))>
#<alt (+ 1 (* u1 (- u1 2)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
Calls

81 calls:

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

rewrite346.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2164×*-lowering-*.f32
2164×*-lowering-*.f64
1638×/-lowering-/.f32
1638×/-lowering-/.f64
1504×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032197
1141135
2707124
34271124
08819124
Stop Event
1×iter limit
1×node limit
Counts
21 → 1896
Calls
Call 1
Inputs
(* (sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1))))
(/ (* u1 (- 1 u1)) (* (- 1 u1) (- 1 u1)))
(* u1 (- 1 u1))
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(* 314159265359/50000000000 u2)
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
(* (sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (* u1 (- 1 u1))) (* u1 u1)))
(* (/ 1 (* u1 (- 1 u1))) (* u1 u1))
(/ 1 (* u1 (- 1 u1)))
(/ (/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2))) (neg (pow (- 1 u1) 1/2)))
(/ (sin (* 314159265359/50000000000 u2)) (/ -1 (pow u1 1/2)))
(sin (* 314159265359/50000000000 u2))
(* (- 1 u1) (- 1 u1))
(/ -1 (pow u1 1/2))
Outputs
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)) (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal -1 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (sin.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 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u1)))
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(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (+.f32 u1 #s(literal -1 binary32)) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(-.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32)) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #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) (-.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) u1) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.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 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)))
(neg.f32 (pow.f32 u1 #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal 1 binary32))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))

simplify405.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
5230×*-lowering-*.f32
5230×*-lowering-*.f64
2808×+-lowering-+.f64
2808×+-lowering-+.f32
2128×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03174445
110373872
234763558
374213558
085643558
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ 1 u1)
(/ (+ 1 u1) u1)
(/ (+ 1 (* u1 (+ 1 u1))) u1)
(/ (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))) u1)
(/ -1 (pow u1 2))
(* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (pow u1 2))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (pow u1 2))
(/ -1 (pow u1 2))
(* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (pow u1 2))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (pow u1 2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))
(* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1))))))
(* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
1
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(+ 1 (* u1 (- u1 2)))
(pow u1 2)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(pow u1 2)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
(* -1 (sqrt (/ 1 u1)))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
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(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1
#s(literal 1 binary32)
(+ 1 (* -2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -2 binary32)))
(+ 1 (* u1 (- u1 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -2 binary32))))
(+ 1 (* u1 (- u1 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -2 binary32))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) 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 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))

eval215.0ms (1.5%)

Compiler

Compiled 48045 to 4135 computations (91.4% saved)

prune346.0ms (2.5%)

Pruning

48 alts after pruning (45 fresh and 3 done)

PrunedKeptTotal
New2438422480
Fresh16319
Picked325
Done011
Total2457482505
Accuracy
100.0%
Counts
2505 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.1%
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
82.1%
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
82.2%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
82.2%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.2%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1)))
▶98.3%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
82.1%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
82.2%
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
98.3%
(*.f32 (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.2%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
▶98.3%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
▶82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
✓82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
71.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
75.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
▶62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
95.0%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.2%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
90.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
67.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶94.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
90.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
90.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
96.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Compiler

Compiled 1779 to 1289 computations (27.5% saved)

simplify189.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1)
✓cost-diff0
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓cost-diff0
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff64
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
✓cost-diff64
(sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
✓cost-diff64
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff0
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
Rules
2468×+-lowering-+.f64
2468×+-lowering-+.f32
2116×fma-define
1916×fma-lowering-fma.f32
1916×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035289
194263
2307263
3878256
42194256
54452256
66835256
08178256
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (* u1 (- 1 u1)) -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(pow (* u1 (- 1 u1)) -1/2)
(* u1 (- 1 u1))
u1
(- 1 u1)
1
-1/2
(* u1 (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (* 314159265359/50000000000 u2) (sqrt u1))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
u1
(* (* 314159265359/50000000000 u2) (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(/ 1 u1)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))
314159265359/50000000000
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
(* u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
-31006276680305942139213528068663279/750000000000000000000000000000000
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))
(+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
(* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
(* (* (pow (* u1 (- 1 u1)) -1/2) u1) (sin (* 314159265359/50000000000 u2)))
(* (pow (* u1 (- 1 u1)) -1/2) u1)
(pow (* u1 (- 1 u1)) -1/2)
(* u1 (- 1 u1))
u1
(- 1 u1)
1
-1/2
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (pow (* u1 (- 1 u1)) -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(pow (* u1 (- 1 u1)) -1/2)
(pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 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)
-1/2
#s(literal -1/2 binary32)
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (* 314159265359/50000000000 u2) (sqrt u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt u1)
(sqrt.f32 u1)
u1
(* (* 314159265359/50000000000 u2) (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(/ 1 (- 1 u1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* (/ 1 (- 1 u1)) u1)
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(/ 1 (- 1 u1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))
(+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(* u2 u2)
(*.f32 u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))
(+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(* (* (pow (* u1 (- 1 u1)) -1/2) u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (pow (* u1 (- 1 u1)) -1/2) u1)
(*.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(pow (* u1 (- 1 u1)) -1/2)
(pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 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)
-1/2
#s(literal -1/2 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize326.0ms (2.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1)
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
✓accuracy99.0%
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
✓accuracy98.5%
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
✓accuracy98.7%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
✓accuracy99.4%
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
Results
244.0ms256×0valid
Compiler

Compiled 322 to 37 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 24.0ms (33.2% of total)
...c/correct-round.rkt:119:19: 22.0ms (30.4% of total)
ival-pow: 6.0ms (8.3% of total)
ival-div: 5.0ms (6.9% of total)
ival-sqrt: 5.0ms (6.9% of total)
ival-sin: 4.0ms (5.5% of total)
ival-add: 3.0ms (4.1% of total)
ival-sub: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts
19 → 300
Calls
Call 1
Inputs
#<alt (* (pow (* u1 (- 1 u1)) -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))>
#<alt (pow (* u1 (- 1 u1)) -1/2)>
#<alt (* u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* (* 314159265359/50000000000 u2) (sqrt u1))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt u1)>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))))>
#<alt (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))>
#<alt (/ (/ 1 (- 1 u1)) (/ 1 u1))>
#<alt (* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))>
#<alt (sqrt (* (/ 1 (- 1 u1)) u1))>
#<alt (* (/ 1 (- 1 u1)) u1)>
#<alt (/ 1 (- 1 u1))>
#<alt (* (* (pow (* u1 (- 1 u1)) -1/2) u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow (* u1 (- 1 u1)) -1/2) u1)>
#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)>
#<alt (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))>
#<alt (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))>
#<alt (+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) 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)))))))))) u1)>
#<alt (/ (sqrt -1) u1)>
#<alt (/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1)>
#<alt (/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) u1)>
#<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)))) u1)>
#<alt (* -1 (/ (sqrt -1) u1))>
#<alt (* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1))>
#<alt (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) u1))>
#<alt (* -1 (/ (+ (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))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt (* (pow u1 2) (- (/ 1 u1) 1))>
#<alt 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 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt 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 (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))>
#<alt (+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt -1)))>
#<alt (+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))>
#<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 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))>
#<alt (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
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#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
Calls

75 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(* (pow (* u1 (- 1 u1)) -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
1.0ms
u1
@0
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
1.0ms
u1
@inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
1.0ms
u2
@inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
1.0ms
u1
@-inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))

rewrite123.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1308×*-lowering-*.f32
1308×*-lowering-*.f64
632×/-lowering-/.f32
632×/-lowering-/.f64
272×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035153
1130136
2552130
02258130
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
19 → 489
Calls
Call 1
Inputs
(* (pow (* u1 (- 1 u1)) -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(pow (* u1 (- 1 u1)) -1/2)
(* u1 (- 1 u1))
(- 1 u1)
(* (* 314159265359/50000000000 u2) (sqrt u1))
(* 314159265359/50000000000 u2)
(sqrt u1)
(* (* 314159265359/50000000000 u2) (sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1))))
(sqrt (/ (/ 1 (- 1 u1)) (/ 1 u1)))
(/ (/ 1 (- 1 u1)) (/ 1 u1))
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
(* (* (pow (* u1 (- 1 u1)) -1/2) u1) (sin (* 314159265359/50000000000 u2)))
(* (pow (* u1 (- 1 u1)) -1/2) u1)
(* u1 (sin (* 314159265359/50000000000 u2)))
(* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(* (* u2 u2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (neg.f32 u1) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 u1)) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(*.f32 u1 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 u1 (*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1)
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)) u1)
(*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (neg.f32 u1))
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #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 #s(literal 1 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 u1 #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (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 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32))))
(/.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 (-.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) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(exp.f32 (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 u1 (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(+.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)) u1)
(fma.f32 u1 #s(literal 1 binary32) (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) u1 (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (neg.f32 u1) (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(/.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
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(fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))
(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))
(fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2))) u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))
(fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(*.f32 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2))
(*.f32 (*.f32 u2 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) u2)

simplify371.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6388×*-lowering-*.f32
6388×*-lowering-*.f64
2320×+-lowering-+.f64
2320×+-lowering-+.f32
1494×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04454418
115063720
254463439
083893439
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) u1)
(/ (sqrt -1) u1)
(/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1)
(/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) u1)
(/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) u1)
(* -1 (/ (sqrt -1) u1))
(* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) u1))
(* -1 (/ (+ (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
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
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 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt 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)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (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 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (* -1/2 (/ (sqrt -1) u1)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* 3/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (sqrt -1)) (* -5/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 (* u1 u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (pow u2 2))) (* 314159265359/50000000000 u1)))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u1)))))))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1/2 binary32)))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))))))
(* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)))) (neg.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(neg.f32 (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -5/16 binary32)) u1))) u1)) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) 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)))))))))) u1)
(/.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1))) (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) u1)
(/ (sqrt -1) u1)
(/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)
(/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1)
(/.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)
(/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) u1)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1)
(/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) u1)
(/.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1)
(* -1 (/ (sqrt -1) u1))
(-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))
(* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) u1))
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(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) u1))
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(*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u1)))))))
(*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

eval112.0ms (0.8%)

Compiler

Compiled 20106 to 1901 computations (90.5% saved)

prune180.0ms (1.3%)

Pruning

63 alts after pruning (58 fresh and 5 done)

PrunedKeptTotal
New985341019
Fresh162440
Picked325
Done033
Total1004631067
Accuracy
100.0%
Counts
1067 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
82.1%
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
95.0%
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
82.2%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
▶98.4%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.1%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
98.2%
(*.f32 (pow.f32 (+.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
82.2%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.1%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1)))
94.9%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.2%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
90.4%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
82.2%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶70.3%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
94.9%
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) u2)
94.9%
(*.f32 (/.f32 u2 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
82.2%
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
82.2%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
95.0%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
98.2%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1)
94.9%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
70.3%
(*.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
▶62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
✓82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
✓82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
71.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
75.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
✓62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
67.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))))))))
94.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2))))))))
▶93.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
90.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
80.7%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
83.4%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
70.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
68.1%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
▶62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Compiler

Compiled 2357 to 1700 computations (27.9% saved)

simplify174.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓cost-diff0
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓cost-diff0
(pow.f32 u1 #s(literal -1/2 binary32))
✓cost-diff64
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓cost-diff0
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
✓cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓cost-diff128
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32))))
✓cost-diff192
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
✓cost-diff-32
(sqrt.f32 u1)
✓cost-diff-32
(*.f32 (sqrt.f32 u1) u2)
✓cost-diff-32
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u1)
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓cost-diff0
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
2844×*-lowering-*.f32
2844×*-lowering-*.f64
1786×fma-lowering-fma.f32
1786×fma-lowering-fma.f64
1722×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036214
194191
2261191
3819188
42219188
53785188
64957188
76440188
08003188
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2)))
(pow (/ (- 1 u1) u1) -1/2)
(/ (- 1 u1) u1)
(- 1 u1)
1
u1
-1/2
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* 314159265359/50000000000 (* (sqrt u1) u2))
314159265359/50000000000
(* (sqrt u1) u2)
(sqrt u1)
u1
u2
(* (* 314159265359/50000000000 u2) (/ 1 (* (/ 1 u1) (pow u1 1/2))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ 1 (* (/ 1 u1) (pow u1 1/2)))
1
(* (/ 1 u1) (pow u1 1/2))
(/ 1 u1)
u1
(pow u1 1/2)
1/2
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))
314159265359/50000000000
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))
(* u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
-31006276680305942139213528068663279/750000000000000000000000000000000
(* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))
(* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
(* (pow u1 -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(pow u1 -1/2)
u1
-1/2
(* u1 (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow (/ (- 1 u1) u1) -1/2)
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(/ (- 1 u1) u1)
(+.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
-1/2
#s(literal -1/2 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* (sqrt u1) u2)
(*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
u2
(* (* 314159265359/50000000000 u2) (/ 1 (* (/ 1 u1) (pow u1 1/2))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ 1 (* (/ 1 u1) (pow u1 1/2)))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
1
#s(literal 1 binary32)
(* (/ 1 u1) (pow u1 1/2))
(pow.f32 u1 #s(literal -1/2 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
u1
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
(*.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(* (/ 1 (- 1 u1)) u1)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/ 1 (- 1 u1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
u2
(+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))
(+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* u2 u2)
(*.f32 u2 u2)
(+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(* (pow u1 -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32)))
(pow u1 -1/2)
(pow.f32 u1 #s(literal -1/2 binary32))
u1
-1/2
#s(literal -1/2 binary32)
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize312.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓accuracy99.1%
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓accuracy99.0%
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
✓accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
✓accuracy99.0%
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
✓accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32))))
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
✓accuracy98.8%
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.2%
(*.f32 (sqrt.f32 u1) u2)
✓accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
✓accuracy99.6%
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
✓accuracy99.4%
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓accuracy99.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓accuracy99.0%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
250.0ms256×0valid
Compiler

Compiled 241 to 38 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-pow: 86.0ms (60.2% of total)
ival-mult: 24.0ms (16.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (9.1% of total)
ival-div: 8.0ms (5.6% of total)
ival-sin: 4.0ms (2.8% of total)
ival-sqrt: 4.0ms (2.8% of total)
ival-add: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.1%)

Counts
21 → 336
Calls
Call 1
Inputs
#<alt (* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2)))>
#<alt (pow (/ (- 1 u1) u1) -1/2)>
#<alt (/ (- 1 u1) u1)>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* (sqrt u1) u2)>
#<alt (sqrt u1)>
#<alt (* (* 314159265359/50000000000 u2) (/ 1 (* (/ 1 u1) (pow u1 1/2))))>
#<alt (/ 1 (* (/ 1 u1) (pow u1 1/2)))>
#<alt (* (/ 1 u1) (pow u1 1/2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))>
#<alt (sqrt (* (/ 1 (- 1 u1)) u1))>
#<alt (* (/ 1 (- 1 u1)) u1)>
#<alt (/ 1 (- 1 u1))>
#<alt (* (pow u1 -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))>
#<alt (pow u1 -1/2)>
#<alt (* u1 (sin (* 314159265359/50000000000 u2)))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))))>
#<alt (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (sqrt (/ 1 u1))>
#<alt (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))>
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#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
Calls

84 calls:

TimeVariablePointExpression
2.0ms
u1
@0
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
1.0ms
u1
@inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
1.0ms
u1
@-inf
(* (* 314159265359/50000000000 u2) (/ 1 (* (/ 1 u1) (pow u1 1/2))))
1.0ms
u2
@inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
1.0ms
u1
@-inf
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))

rewrite1.1s (7.5%)

Algorithm
1×batch-egg-rewrite
Rules
2748×*-lowering-*.f32
2748×*-lowering-*.f64
1988×+-lowering-+.f64
1988×+-lowering-+.f32
1800×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036134
1131117
2535115
32413111
47580111
08536111
Stop Event
1×iter limit
1×node limit
Counts
21 → 984
Calls
Call 1
Inputs
(* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2)))
(pow (/ (- 1 u1) u1) -1/2)
(/ (- 1 u1) u1)
(- 1 u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* (sqrt u1) u2)
(sqrt u1)
(* (* 314159265359/50000000000 u2) (/ 1 (* (/ 1 u1) (pow u1 1/2))))
(/ 1 (* (/ 1 u1) (pow u1 1/2)))
(* (/ 1 u1) (pow u1 1/2))
(* 314159265359/50000000000 u2)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))))))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
(* (pow u1 -1/2) (* u1 (sin (* 314159265359/50000000000 u2))))
(pow u1 -1/2)
(* u1 (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* u2 (+ 314159265359/50000000000 (* (* u2 u2) (+ -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))))))
(* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)
Outputs
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(neg.f32 (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 (neg.f32 u1) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(neg.f32 (*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
(neg.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (neg.f32 u1)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 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 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 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 (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 (exp.f32 #s(literal -1/2 binary32)) #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 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) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #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 u1 #s(literal 1/2 binary32)) (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (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) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal -1/2 binary32)))
(/.f32 (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 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (neg.f32 u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 u1 #s(literal -1 binary32)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 u1))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 u1))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 (*.f32 u1 u1)))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (pow.f32 (neg.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))))
(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 u1 (pow.f32 (*.f32 u1 (-.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) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(*.f32 (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #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 (neg.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1)
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (neg.f32 u1))) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 u1 #s(literal -1 binary32)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (*.f32 u1 u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (*.f32 u1 u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 (neg.f32 (*.f32 u1 u1))))
(neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(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))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(fma.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32) #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) u1))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
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(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) u1)))
(neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) u1)))
(+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 0 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) u1) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) u1))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)
(*.f32 (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (neg.f32 u1) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 u1))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2))))
(+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))) (*.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(+.f32 (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2))) #s(literal 1 binary32)) (*.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(fma.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(fma.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 u2 u2) (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(fma.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(*.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) #s(literal 1 binary32))
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2)

simplify350.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
6182×*-lowering-*.f32
6182×*-lowering-*.f64
2906×+-lowering-+.f64
2906×+-lowering-+.f32
1840×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03813421
113042975
247262940
081082940
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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u1
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(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(sqrt (/ 1 u1))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 (* u1 u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (pow u2 2))) (* 314159265359/50000000000 u1)))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u1)))))))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1))))) (/.f32 (*.f32 (/.f32 #s(literal -5/16 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (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 -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (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 -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 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))
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(-.f32 (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 5/16 binary32) (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))) u1) (*.f32 #s(literal 3/8 binary32) (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (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 -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (pow u2 2))) (* 314159265359/50000000000 u1)))
(*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2)))))))
(*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 u1) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u1) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u1 (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u1)))))))
(*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u1 (sin (* 314159265359/50000000000 u2)))
(*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (neg.f32 (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (neg.f32 (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))

eval115.0ms (0.8%)

Compiler

Compiled 24082 to 2628 computations (89.1% saved)

prune268.0ms (1.9%)

Pruning

98 alts after pruning (90 fresh and 8 done)

PrunedKeptTotal
New1375451420
Fresh84553
Picked235
Done055
Total1385981483
Accuracy
100.0%
Counts
1483 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
61.9%
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
61.9%
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
62.0%
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
82.1%
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
93.1%
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
62.0%
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
82.2%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
62.0%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
70.3%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
62.0%
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
62.0%
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
62.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
61.9%
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
90.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓98.4%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.1%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
82.2%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.1%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1)))
94.9%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.2%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
90.4%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
82.2%
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.0%
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
65.8%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
67.2%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
68.1%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
68.1%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
67.2%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
65.7%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
62.0%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓70.3%
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
94.9%
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) u2)
93.1%
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
70.3%
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) u1)
94.9%
(*.f32 (/.f32 u2 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
82.2%
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
61.9%
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
82.2%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
62.0%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
62.0%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
62.0%
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
95.0%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
98.2%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1)
94.9%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
70.3%
(*.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
61.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
61.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
82.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
✓82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
✓82.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
82.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
71.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
75.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
✓62.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
95.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
93.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))))
93.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2))))))))
90.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
✓98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
79.5%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
83.4%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
67.2%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
70.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.4%
(*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 u1))) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
90.3%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
68.1%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
67.2%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
61.9%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
✓62.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Compiler

Compiled 4059 to 1693 computations (58.3% saved)

regimes454.0ms (3.2%)

Counts
146 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
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(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) u1)
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.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 u1 #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1)
(*.f32 (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1)
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (+.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 u1))) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (*.f32 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

146.0ms
u1
46.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
42.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
42.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
41.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
98.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes278.0ms (2%)

Counts
106 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
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(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) u1)
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

50.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
32.0ms
u1
31.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
31.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
31.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.3%1cosTheta_i
98.3%1u1
98.3%1u2
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes219.0ms (1.6%)

Counts
102 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (/.f32 u2 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) u2)
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/2 binary32))) u1)
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
Calls

7 calls:

34.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
29.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
29.0ms
u1
29.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
95.0%1cosTheta_i
95.0%1u2
95.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
95.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
95.0%1u1
95.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes188.0ms (1.3%)

Counts
83 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (/.f32 u2 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))) u2)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
Calls

6 calls:

59.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms
cosTheta_i
24.0ms
u2
24.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
95.0%1cosTheta_i
95.0%1u2
95.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
95.0%1u1
95.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes163.0ms (1.2%)

Counts
80 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (/.f32 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u1 (*.f32 u2 u2)) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
Calls

6 calls:

33.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms
u2
25.0ms
cosTheta_i
24.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
23.0ms
u1
Results
AccuracySegmentsBranch
93.2%1u2
93.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.2%1cosTheta_i
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))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes142.0ms (1%)

Counts
66 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u2 (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Calls

6 calls:

25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
u2
22.0ms
cosTheta_i
21.0ms
u1
21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
90.5%1cosTheta_i
90.5%1u2
90.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.5%1u1
90.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes197.0ms (1.4%)

Counts
58 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 (*.f32 u1 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

77.0ms
u2
44.0ms
u1
20.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
cosTheta_i
Results
AccuracySegmentsBranch
90.3%1u2
90.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.3%1cosTheta_i
90.3%1u1
90.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes106.0ms (0.8%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Calls

6 calls:

16.0ms
u2
16.0ms
u1
16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
cosTheta_i
Results
AccuracySegmentsBranch
90.3%1cosTheta_i
90.3%1u2
90.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.3%1u1
90.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes98.0ms (0.7%)

Counts
54 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 u2 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) u2))
(/.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) u1)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

6 calls:

17.0ms
u1
16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms
u2
16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
82.3%1cosTheta_i
82.3%1u2
82.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
82.3%1u1
82.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
82.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes33.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
Calls

4 calls:

9.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms
u1
7.0ms
u2
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
71.4%1u2
71.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
71.4%1cosTheta_i
71.4%1u1
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes32.0ms (0.2%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u1 u2) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) u1)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u2))
(*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2))
Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
Calls

4 calls:

8.0ms
u1
8.0ms
u2
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
62.0%1u1
62.0%1cosTheta_i
62.0%1u2
62.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes15.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal -1/2 binary32))) u2)
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u2))
(/.f32 u2 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (*.f32 u1 u2)))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
Calls

4 calls:

4.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
62.0%1cosTheta_i
62.0%1u1
62.0%1u2
62.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes78.0ms (0.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32))))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
Calls

4 calls:

72.0ms
u2
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
cosTheta_i
2.0ms
u1
Results
AccuracySegmentsBranch
62.0%1cosTheta_i
62.0%1u1
62.0%1u2
62.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Calls

3 calls:

1.0ms
u2
1.0ms
u1
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
62.0%1u1
62.0%1cosTheta_i
62.0%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

simplify20.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
064199
1109199
2113199
3115199
4116199
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 u2 (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 u2 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))

soundness2.9s (20.3%)

Rules
6388×*-lowering-*.f32
6388×*-lowering-*.f64
6182×*-lowering-*.f32
6182×*-lowering-*.f64
5424×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035153
1130136
2552130
02258130
03813421
113042975
247262940
081082940
03174445
110373872
234763558
374213558
085643558
036134
1131117
2535115
32413111
47580111
08536111
04454418
115063720
254463439
083893439
032197
1141135
2707124
34271124
08819124
01028
12728
29326
340826
4145226
5616226
0815526
0186886
1591771
21926701
36336699
08839699
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 617 to 373 computations (39.5% saved)

preprocess113.0ms (0.8%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 912 to 536 computations (41.2% saved)

end0.0ms (0%)

Profiling

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