Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze541.0ms (6.5%)

Memory
11.0MiB live, 610.8MiB allocated
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 35 to 25 computations (28.6% saved)

sample1.9s (23%)

Memory
58.5MiB live, 2 517.5MiB allocated
Samples
1.5s8 256×0valid
1.0ms7×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 531.0ms (42.4% of total)
ival-<=: 148.0ms (11.8% of total)
ival-sin: 144.0ms (11.5% of total)
ival-mult: 111.0ms (8.9% of total)
ival-div: 83.0ms (6.6% of total)
ival-sqrt: 73.0ms (5.8% of total)
ival-sub: 64.0ms (5.1% of total)
ival->: 59.0ms (4.7% of total)
ival-and: 33.0ms (2.6% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain116.0ms (1.4%)

Memory
3.4MiB live, 279.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
56.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 8.0ms (21.8% of total)
ival-sin: 8.0ms (21.8% of total)
const: 8.0ms (21.8% of total)
ival-div: 5.0ms (13.7% of total)
ival-sub: 3.0ms (8.2% of total)
ival-sqrt: 3.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess53.0ms (0.6%)

Memory
-6.5MiB live, 63.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178101
2132101
324399
448499
590799
6119599
7133499
8141699
9146399
10147999
11148399
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12236
22636
33136
43836
54836
66336
78636
810836
911636
1011836
011836
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#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)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize42.0ms (0.5%)

Memory
-4.6MiB live, 86.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.17505383277819153
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
34.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 10.0ms (38.1% of total)
ival-sin: 5.0ms (19% of total)
const: 4.0ms (15.2% of total)
ival-mult: 3.0ms (11.4% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-12.4MiB live, 26.2MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(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)))))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(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)))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(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))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(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)))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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Calls

6 calls:

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

simplify177.0ms (2.1%)

Memory
-15.6MiB live, 300.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021002
1602910
21761837
35215784
47627783
08026754
Stop Event
1×iter limit
1×node limit
Counts
84 → 83
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)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 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)))
(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)))
-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 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 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))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))))
(* (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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* (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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 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)))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))))) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 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))))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 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)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 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))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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)))) (+ (* -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)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (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))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) 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)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -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)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 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)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (*.f32 u1 u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) 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 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(* 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(* 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))))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

rewrite178.0ms (2.1%)

Memory
-12.1MiB live, 305.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01632
14632
223732
3195432
0973432
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 521
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
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eval102.0ms (1.2%)

Memory
2.4MiB live, 157.2MiB allocated
Compiler

Compiled 14 735 to 2 554 computations (82.7% saved)

prune41.0ms (0.5%)

Memory
-12.6MiB live, 112.0MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New57430604
Fresh000
Picked011
Done000
Total57431605
Accuracy
99.6%
Counts
605 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.5%
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
33.0%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
85.5%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
35.2%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶97.9%
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
▶98.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
39.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
▶81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
40.2%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶41.1%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.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)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
40.0%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
44.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 1 043 to 861 computations (17.4% saved)

simplify153.0ms (1.8%)

Memory
-11.0MiB live, 183.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff0
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff0
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff608
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff64
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
cost-diff96
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
cost-diff256
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff448
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039325
070312
1117293
2208253
3552253
41815253
54203253
66714253
77814253
08173249
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 0 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(-.f32 u1 #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
u1
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/2 binary32)
Outputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #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 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 0 binary32)
#s(literal 0 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 u1 #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (-.f32 #s(literal 2 binary32) u1) #s(literal -1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/2 binary32)

localize129.0ms (1.5%)

Memory
3.0MiB live, 240.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17505383277819153
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3701362793053261
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy0.41796875
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.17505383277819153
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.38509750976844204
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy4.520272248403862
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.17505383277819153
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.28125
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.37109375
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.1328125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy5.628802877632065
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3515625
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.44369125976844204
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
Samples
94.0ms256×0valid
Compiler

Compiled 645 to 78 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-sqrt: 22.0ms (29.1% of total)
ival-mult: 18.0ms (23.8% of total)
ival-div: 7.0ms (9.3% of total)
ival-add: 7.0ms (9.3% of total)
ival-sin: 6.0ms (7.9% of total)
ival-pow: 6.0ms (7.9% of total)
ival-sub: 4.0ms (5.3% of total)
const: 4.0ms (5.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
-1.7MiB live, 80.6MiB allocated
Counts
25 → 384
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (patch (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (patch (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (patch (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (patch (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 #s(literal 1 binary32)) (patch (fma.f32 u1 u1 #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
Outputs
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u1) (#s(alt (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u1) (#s(alt (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u1) (#s(alt (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u1) (#s(alt (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- u1 1)) (taylor 0 u1) (#s(alt (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- u1 1)) (taylor 0 u1) (#s(alt (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- u1 1)) (taylor 0 u1) (#s(alt (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1 u1))) (taylor 0 u1) (#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1 u1))) (taylor 0 u1) (#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1 u1))) (taylor 0 u1) (#s(alt (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(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)))))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
7.0ms
u2
@inf
((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (sin (* 314159265359/50000000000 u2)))
4.0ms
u1
@0
((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (sin (* 314159265359/50000000000 u2)))
4.0ms
u1
@inf
((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (sin (* 314159265359/50000000000 u2)))
4.0ms
u1
@-inf
((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (sin (* 314159265359/50000000000 u2)))
2.0ms
u2
@0
((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (sin (* 314159265359/50000000000 u2)))

simplify188.0ms (2.3%)

Memory
22.0MiB live, 299.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04975119
115094690
244354220
081534031
Stop Event
1×iter limit
1×node limit
Counts
384 → 379
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
0
0
0
0
(* -1 u1)
(* u1 (- u1 1))
(* u1 (- u1 1))
(* u1 (- u1 1))
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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(* 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))))))))))
(* 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))))))))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 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))))
(* 314159265359/50000000000 (* u2 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))) (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 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))))))))))
(* 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))))))))
(* 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))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))))
(* (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)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (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)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt 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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(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 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (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)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt 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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(* -1 u1)
(neg.f32 u1)
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
u1
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 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)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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)))))))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (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))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 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)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 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)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
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(* 314159265359/50000000000 (* u2 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))) (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))))))))
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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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(* 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))))))))))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
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(* 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))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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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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(* 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))))))))))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
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(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

rewrite188.0ms (2.3%)

Memory
16.1MiB live, 368.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039232
070200
1218188
21453183
08612183
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 065
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
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eval233.0ms (2.8%)

Memory
7.8MiB live, 594.2MiB allocated
Compiler

Compiled 51 674 to 6 588 computations (87.3% saved)

prune96.0ms (1.2%)

Memory
13.4MiB live, 287.9MiB allocated
Pruning

60 alts after pruning (57 fresh and 3 done)

PrunedKeptTotal
New1 855431 898
Fresh111425
Picked325
Done011
Total1 869601 929
Accuracy
99.9%
Counts
1 929 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
81.4%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
81.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
97.4%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
34.7%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
85.4%
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.1%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.8%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.7%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
98.2%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (*.f32 (neg.f32 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
40.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
63.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶72.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.6%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
97.8%
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
81.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
81.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.3%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
73.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
80.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.3%
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
▶63.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.5%
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
72.0%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
70.9%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
20.3%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 1 954 to 1 620 computations (17.1% saved)

simplify181.0ms (2.2%)

Memory
-26.6MiB live, 227.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff352
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))
cost-diff864
(*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff64
(neg.f32 (+.f32 u1 #s(literal 1 binary32)))
cost-diff544
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
cost-diff0
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff0
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff352
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042329
073301
1114288
2218288
3598260
42307260
55401260
08204260
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
#s(literal -1 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
u1
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(neg.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(fabs.f32 (-.f32 #s(literal 1 binary32) u1))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1 binary32)
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))
(/.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 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(neg.f32 (+.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal -1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(-.f32 u1 #s(literal -1 binary32))
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(fabs.f32 (-.f32 #s(literal 1 binary32) u1))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1 binary32)
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize141.0ms (1.7%)

Memory
5.3MiB live, 197.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37632753907376804
(*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.17505383277819153
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.2265625
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3991012695368841
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.34375
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy4.922869332544794
(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy5.628802877632065
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3991012695368841
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy5.628802877632065
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy8.48399654607855
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.17505383277819153
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.30078125
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
98.0ms256×0valid
Compiler

Compiled 615 to 79 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 15.0ms (25.6% of total)
ival-mult: 15.0ms (25.6% of total)
ival-sqrt: 9.0ms (15.4% of total)
ival-sin: 7.0ms (12% of total)
const: 4.0ms (6.8% of total)
ival-sub: 3.0ms (5.1% of total)
ival-add: 2.0ms (3.4% of total)
ival-fabs: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory
7.7MiB live, 88.1MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 u1 #s(literal 1 binary32))) (patch (neg.f32 (+.f32 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) (patch (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (patch (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))) (patch (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (patch (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (patch (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
#s(alt (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 #s(literal -1 binary32)) (patch (fma.f32 u1 u1 #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))) (patch (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
Outputs
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
u1
@inf
((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (+ (* u1 u1) -1) (neg (+ u1 1))) (neg (+ u1 1)) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sqrt (* (- 1 u1) u1)) (* (- 1 u1) u1) (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1))) (/ (* (- u1 1) u1) -1) (* (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))
4.0ms
u1
@0
((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (+ (* u1 u1) -1) (neg (+ u1 1))) (neg (+ u1 1)) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sqrt (* (- 1 u1) u1)) (* (- 1 u1) u1) (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1))) (/ (* (- u1 1) u1) -1) (* (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))
4.0ms
u2
@inf
((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (+ (* u1 u1) -1) (neg (+ u1 1))) (neg (+ u1 1)) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sqrt (* (- 1 u1) u1)) (* (- 1 u1) u1) (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1))) (/ (* (- u1 1) u1) -1) (* (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))
3.0ms
u2
@-inf
((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (+ (* u1 u1) -1) (neg (+ u1 1))) (neg (+ u1 1)) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sqrt (* (- 1 u1) u1)) (* (- 1 u1) u1) (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1))) (/ (* (- u1 1) u1) -1) (* (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))
3.0ms
u2
@0
((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (+ (* u1 u1) -1) (neg (+ u1 1))) (neg (+ u1 1)) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sqrt (* (- 1 u1) u1)) (* (- 1 u1) u1) (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1))) (/ (* (- u1 1) u1) -1) (* (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (* (- u1 1) u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) -1) (/ (/ -1 (- 1 u1)) (- u1 1)))

simplify187.0ms (2.2%)

Memory
-1.5MiB live, 220.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05755474
118645097
260825079
080794842
Stop Event
1×iter limit
1×node limit
Counts
360 → 356
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(/ (- u1 1) 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)))))))
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(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 u1)
(sqrt u1)
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1
(+ 1 (* -1 u1))
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(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
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(sqrt u1)
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u1
(* u1 (+ 1 (* -1 u1)))
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u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
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u1
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(+ (* (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)))))))))
(sqrt u1)
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-1
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1
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(sqrt -1)
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1
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1
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(sqrt -1)
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(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))))
(* -1 (/ (* u1 (sqrt -1)) (fabs (+ 1 (* -1 u1)))))
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))))
(* -1 (* u1 (sqrt -1)))
(* -1 (* u1 (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))))
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))))
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -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
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 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)))
(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)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(/ 1 (pow u1 2))
(/ (+ 1 (* 2 (/ 1 u1))) (pow u1 2))
(/ (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2)))) (pow u1 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1))) (pow u1 2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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))))))))))
(* 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))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (fabs (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (fabs (- 1 u1))))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 1 u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (fabs (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (fabs (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (fabs (- 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))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (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)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (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)))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (fabs (- 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)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 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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(* 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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(* 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))))))))))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite116.0ms (1.4%)

Memory
3.7MiB live, 133.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042242
073236
1228203
01647203
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
25 → 408
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(neg.f32 (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))
Outputs
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eval75.0ms (0.9%)

Memory
12.3MiB live, 205.9MiB allocated
Compiler

Compiled 16 765 to 2 366 computations (85.9% saved)

prune75.0ms (0.9%)

Memory
-8.9MiB live, 189.1MiB allocated
Pruning

56 alts after pruning (51 fresh and 5 done)

PrunedKeptTotal
New82124845
Fresh252752
Picked325
Done033
Total84956905
Accuracy
99.9%
Counts
905 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
81.4%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
81.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
81.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶98.4%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
85.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (/.f32 #s(approx (sqrt (* (- 1 u1) u1)) (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.8%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.7%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
37.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 u1 u1) u1) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶73.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) #s(approx (/ (/ -1 (- 1 u1)) (- u1 1)) #s(literal 1 binary32)))) (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)))
81.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.3%
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))
63.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
81.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.3%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
73.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.3%
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
▶4.7%
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
63.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓63.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.4%
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
81.5%
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
72.0%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
72.0%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
20.3%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 1 689 to 1 416 computations (16.2% saved)

simplify174.0ms (2.1%)

Memory
23.0MiB live, 224.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff256
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
cost-diff608
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
cost-diff0
(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 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
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff0
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff160
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046333
072333
1114331
2226325
3611313
41702283
56399283
08318282
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(sqrt.f32 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
#s(literal -1 binary32)
#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
(/.f32 #s(literal -1 binary32) u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(-.f32 u1 #s(literal 1 binary32))
u1
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 (-.f32 u1 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) u1)) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.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 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(sqrt.f32 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
#s(literal -1 binary32)
#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
(/.f32 #s(literal -1 binary32) u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(-.f32 u1 #s(literal 1 binary32))
u1
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize112.0ms (1.3%)

Memory
-0.8MiB live, 193.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37632753907376804
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3991012695368841
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy9.20325068979092
#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy0.3991012695368841
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy5.628802877632065
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3991012695368841
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy5.628802877632065
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy30.897264004029726
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1)))
accuracy0.17505383277819153
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3991012695368841
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.44140625
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Samples
81.0ms256×0valid
Compiler

Compiled 566 to 78 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 18.0ms (29.1% of total)
ival-div: 14.0ms (22.7% of total)
ival-sqrt: 9.0ms (14.6% of total)
ival-pow: 5.0ms (8.1% of total)
ival-sub: 4.0ms (6.5% of total)
const: 4.0ms (6.5% of total)
ival-sin: 3.0ms (4.9% of total)
ival-add: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series243.0ms (2.9%)

Memory
11.9MiB live, 479.8MiB allocated
Counts
24 → 348
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) (patch (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)) (patch #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (patch (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (patch (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
#s(alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -2 u1)) (pow u1 2)) (taylor 0 u1) (#s(alt (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2)) (taylor 0 u1) (#s(alt (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2)) (taylor 0 u1) (#s(alt (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor 0 u1) (#s(alt (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor 0 u1) (#s(alt (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))) (taylor 0 u1) (#s(alt (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))))) (taylor 0 u1) (#s(alt (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sqrt -1)) (taylor 0 u1) (#s(alt (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1))) (taylor 0 u1) (#s(alt (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))) (taylor 0 u1) (#s(alt (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))))) (taylor 0 u1) (#s(alt (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
74.0ms
u1
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sqrt (/ 1 (- 1 u1))) (/ 1 (- 1 u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1)) (/ (/ 1 (- u1 1)) (- u1 1)) (* (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
38.0ms
u2
@-inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sqrt (/ 1 (- 1 u1))) (/ 1 (- 1 u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1)) (/ (/ 1 (- u1 1)) (- u1 1)) (* (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
33.0ms
u2
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sqrt (/ 1 (- 1 u1))) (/ 1 (- 1 u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1)) (/ (/ 1 (- u1 1)) (- u1 1)) (* (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
29.0ms
u2
@inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sqrt (/ 1 (- 1 u1))) (/ 1 (- 1 u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1)) (/ (/ 1 (- u1 1)) (- u1 1)) (* (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))
26.0ms
u1
@inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sqrt (/ 1 (- 1 u1))) (/ 1 (- 1 u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ -1 (/ (- u1 1) u1)) (/ (- u1 1) u1) (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1)) (/ (/ 1 (- u1 1)) (- u1 1)) (* (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ (/ 1 (- u1 1)) (- u1 1)) (* (- 1 u1) u1))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000))

simplify192.0ms (2.3%)

Memory
-13.0MiB live, 340.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06355354
119664920
262634897
083214676
Stop Event
1×iter limit
1×node limit
Counts
348 → 346
Calls
Call 1
Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
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-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ 1 (pow u1 2))
(/ (+ 1 (* 2 (/ 1 u1))) (pow u1 2))
(/ (+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2)))) (pow u1 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1))) (pow u1 2))
(* (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)))
(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)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (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))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (- u1 1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1)))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))))
(* 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))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (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 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (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 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 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))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
Outputs
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 u1 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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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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(* 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))))))))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
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(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (- u1 1))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1)))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (- u1 1))))))))))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* 314159265359/50000000000 u2)
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (- u1 1)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite60.0ms (0.7%)

Memory
27.5MiB live, 66.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046261
072247
1227208
01489208
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
24 → 220
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))
#s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
Outputs
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eval129.0ms (1.6%)

Memory
-21.9MiB live, 91.6MiB allocated
Compiler

Compiled 13 002 to 1 726 computations (86.7% saved)

prune170.0ms (2%)

Memory
-2.7MiB live, 132.8MiB allocated
Pruning

62 alts after pruning (53 fresh and 9 done)

PrunedKeptTotal
New68810698
Fresh34346
Picked145
Done055
Total69262754
Accuracy
99.9%
Counts
754 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
81.4%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
81.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
81.5%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
75.3%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
84.8%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (/.f32 #s(approx (sqrt (* (- 1 u1) u1)) (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.8%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓81.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.4%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
97.7%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
37.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓81.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 u1 u1) u1) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓73.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
63.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
72.0%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.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 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.3%
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))
70.9%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ (/ 1 (- u1 1)) (- u1 1)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
81.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.3%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
73.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.3%
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
4.7%
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
4.7%
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓4.7%
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
63.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓63.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
20.3%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
81.4%
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
81.5%
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
72.0%
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 2 720 to 1 243 computations (54.3% saved)

regimes299.0ms (3.6%)

Memory
-6.8MiB live, 222.2MiB allocated
Counts
108 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (*.f32 (neg.f32 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.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 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/4 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 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 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

52.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
47.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
42.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
39.0ms
u1
32.0ms
u2
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1u1
98.5%1u2
98.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes229.0ms (2.7%)

Memory
6.5MiB live, 161.4MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ (/ 1 (- u1 1)) (- u1 1)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) 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 #s(approx (sqrt (* (- 1 u1) u1)) (sqrt.f32 u1)) (fabs.f32 (-.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)) 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)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) #s(approx (/ (/ -1 (- 1 u1)) (- u1 1)) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 u1 u1) u1) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

60.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
36.0ms
u2
27.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms
cosTheta_i
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
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 32 to 44 computations (-37.5% saved)

regimes189.0ms (2.3%)

Memory
23.9MiB live, 178.4MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ (/ 1 (- u1 1)) (- u1 1)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) 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 #s(approx (sqrt (* (- 1 u1) u1)) (sqrt.f32 u1)) (fabs.f32 (-.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)) 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)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32)) #s(approx (/ (/ -1 (- 1 u1)) (- u1 1)) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (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:

48.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
29.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
u1
16.0ms
cosTheta_i
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 32 to 44 computations (-37.5% saved)

regimes149.0ms (1.8%)

Memory
-23.8MiB live, 101.7MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ (/ 1 (- u1 1)) (- u1 1)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

32.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
29.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms
cosTheta_i
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
81.6%1cosTheta_i
88.9%2u1
90.7%2u2
81.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.9%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.9%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.3%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes97.0ms (1.2%)

Memory
6.1MiB live, 83.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (neg (+ u1 1)) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

34.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
17.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms
u1
Results
AccuracySegmentsBranch
81.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.6%1u1
81.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.6%1u2
81.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 20 to 30 computations (-50% saved)

regimes53.0ms (0.6%)

Memory
9.7MiB live, 85.9MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (/ (sqrt (* (- 1 u1) u1)) (fabs (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
cosTheta_i
5.0ms
u1
5.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
81.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.5%1cosTheta_i
81.5%1u1
81.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.5%1u2
81.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes20.0ms (0.2%)

Memory
13.7MiB live, 52.0MiB allocated
Accuracy

Total -19.0b remaining (-162.4%)

Threshold costs -19b (-162.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (/ (+ (* u1 u1) -1) (neg (+ u1 1))))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
Outputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
cosTheta_i
2.0ms
u2
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
63.4%1cosTheta_i
63.4%1u1
63.4%1u2
63.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.01622847467660904
0.020488599315285683
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify39.0ms (0.5%)

Memory
-24.5MiB live, 56.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044133
175130
2106130
3178130
4261130
5410130
6601130
7964130
81135130
91176130
101205130
111207130
121207130
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.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)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/268435456 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #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 u2 #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/268435456 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 5368709/268435456 binary32)) (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

soundness670.0ms (8%)

Memory
23.3MiB live, 532.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021002
1602910
21761837
35215784
47627783
08026754
01032
01632
14632
223732
3195432
0973432
04975119
115094690
244354220
081534031
039232
070200
1218188
21453183
08612183
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 215 to 129 computations (40% saved)

preprocess477.0ms (5.7%)

Memory
-94.9MiB live, 221.4MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 682 to 422 computations (38.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...