HairBSDF, sample_f, cosTheta

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

analyze122.0ms (1.4%)

Memory
6.3MiB live, 495.5MiB allocated; 44ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.9%99.1%0%0%0%0
0%0%0.9%99.1%0%0%0%1
0%0%0.9%99.1%0%0%0%2
0%0%0.9%99.1%0%0%0%3
0%0%0.9%99.1%0%0%0%4
37.5%0.3%0.5%99.1%0%0%0%5
43.7%0.4%0.5%99.1%0%0%0%6
65.6%0.6%0.3%99.1%0%0%0%7
70.3%0.6%0.3%99.1%0%0%0%8
82%0.7%0.2%99.1%0%0%0%9
84.8%0.7%0.1%99.1%0%0%0%10
90.8%0.8%0.1%99.1%0%0%0%11
92.3%0.8%0.1%99.1%0%0%0%12
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample1.9s (21.5%)

Memory
66.2MiB live, 8 986.1MiB allocated; 526ms collecting garbage
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 277.0ms (26.2% of total)
ival-<=: 137.0ms (13% of total)
ival-mult: 130.0ms (12.3% of total)
ival-log: 114.0ms (10.8% of total)
ival-add: 112.0ms (10.6% of total)
ival-div: 84.0ms (8% of total)
ival-exp: 79.0ms (7.5% of total)
ival-sub: 76.0ms (7.2% of total)
ival-and: 27.0ms (2.6% of total)
exact: 14.0ms (1.3% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain181.0ms (2.1%)

Memory
-17.4MiB live, 748.4MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
12(0.9278642535209656 0.010467279702425003)1(0.00020720642351079732 0.05762661248445511)(exp.f32 (/.f32 #s(literal -2 binary32) v))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
00-0-u
00-0-(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
01(0.9943726062774658 6.606470281647174e-19)0-(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
00-0-v
00-0-(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
00-0-(/.f32 #s(literal -2 binary32) v)
00-0-(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 #s(literal -2 binary32) v))sensitivity24
log.f32(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))sensitivity10
Confusion
Predicted +Predicted -
+01
-3252
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-34248
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 161 to 40 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-log: 7.0ms (20.9% of total)
ival-div: 6.0ms (17.9% of total)
ival-add: 6.0ms (17.9% of total)
ival-mult: 6.0ms (17.9% of total)
ival-exp: 4.0ms (11.9% of total)
ival-sub: 3.0ms (8.9% of total)
exact: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess148.0ms (1.7%)

Memory
6.5MiB live, 430.9MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03283
18180
219679
357879
4186879
01215
02015
13515
27115
318115
451215
5276915
6783415
0805413
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify141.0ms (1.6%)

Memory
-3.9MiB live, 433.3MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff1
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271
02071
13571
27171
318171
451271
5276971
6783471
0805466
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize36.0ms (0.4%)

Memory
12.2MiB live, 156.9MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.040983801157537796
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.060878759768442016
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy0.09761545026701576
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.29296875
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
28.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 4.0ms (22.8% of total)
ival-log: 4.0ms (22.8% of total)
ival-mult: 3.0ms (17.1% of total)
ival-div: 2.0ms (11.4% of total)
ival-exp: 2.0ms (11.4% of total)
ival-sub: 1.0ms (5.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory
15.4MiB live, 301.1MiB allocated; 19ms collecting garbage
Counts
5 → 76
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
Calls

6 calls:

TimeVariablePointExpression
58.0ms
v
@0
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
4.0ms
u
@-inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
3.0ms
v
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms
u
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms
v
@-inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))

simplify201.0ms (2.3%)

Memory
-6.6MiB live, 854.8MiB allocated; 51ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03372667
110902450
244822387
082932134
Stop Event
iter limit
node limit
Counts
76 → 76
Calls
Call 1
Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -6 binary32) v)))) #s(literal 1/3 binary32) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
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(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)))
(* -2 (/ (- 1 u) v))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (fma.f32 #s(literal 24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32)) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))) v)
(- 1 (* 2 (/ 1 v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) #s(literal 1 binary32))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) #s(literal 1 binary32)) (/.f32 #s(literal 4/3 binary32) (pow.f32 v #s(literal 3 binary32))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal 1/6 binary32))) v))) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (neg.f32 v))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))) v))) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))

rewrite247.0ms (2.9%)

Memory
-25.9MiB live, 985.4MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
02053
17453
248853
3526853
0831248
Stop Event
iter limit
node limit
iter limit
Counts
5 → 220
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)))) (+.f32 #s(literal -1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)))
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(-.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 6 binary32)))) (log.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 9 binary32)) (pow.f32 u #s(literal 9 binary32)))) (log.f32 (*.f32 (+.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (pow.f32 u #s(literal 6 binary32))) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))
(-.f32 (log.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (log.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (-.f32 (pow.f32 u #s(literal 4 binary32)) (pow.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) (log.f32 (-.f32 (*.f32 u u) (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (log.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 u #s(literal 6 binary32))))) (log.f32 (fma.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u)) (pow.f32 u #s(literal 4 binary32)))))
(+.f32 (log.f32 (/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
(+.f32 (log.f32 (/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (*.f32 u u))))
(+.f32 (log.f32 (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u))) (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (fma.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))
(+.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 4 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(-.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(-.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))))))
(+.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))

eval41.0ms (0.5%)

Memory
2.0MiB live, 144.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 13 430 to 1 449 computations (89.2% saved)

prune28.0ms (0.3%)

Memory
21.0MiB live, 166.0MiB allocated; 7ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New27024294
Fresh000
Picked101
Done000
Total27124295
Accuracy
100.0%
Counts
295 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
99.7%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.3%
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
99.3%
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
99.3%
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
99.5%
(+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
4.3%
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) u))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
9.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
12.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
7.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
13.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))))
9.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
99.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
4.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
4.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
87.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
5.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 326 to 888 computations (33% saved)

simplify131.0ms (1.5%)

Memory
20.2MiB live, 451.5MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
cost-diff0
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
cost-diff2
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
cost-diff0
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
cost-diff0
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
cost-diff0
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
cost-diff0
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
cost-diff0
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(exp.f32 (/.f32 #s(literal -2 binary32) v))
cost-diff0
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
cost-diff0
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
cost-diff0
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045407
075400
1121396
2259396
3848396
43799396
08470391
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
#s(literal 1 binary32)
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
u
(neg.f32 v)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
u
#s(literal -1/2 binary32)
(*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v)
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(literal 2 binary32)
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 1 binary32)
Outputs
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))))
#s(literal 1 binary32)
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
u
(neg.f32 v)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(*.f32 (*.f32 u v) (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
(*.f32 u #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) u)
u
#s(literal -1/2 binary32)
(*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v)
(*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(literal 2 binary32)
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 1 binary32)

localize130.0ms (1.5%)

Memory
-18.0MiB live, 604.1MiB allocated; 28ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.09650848522316578
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.13967517734132437
(exp.f32 (/.f32 #s(literal -4 binary32) v))
accuracy5.160142102348617
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
accuracy6.491177586753774
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
accuracy0.060878759768442016
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
accuracy0.06823880085870934
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
accuracy0.09761545026701576
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy2.4322099330417317
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
accuracy0.060878759768442016
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
accuracy0.0859375
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
accuracy0.09650848522316578
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy6.626476729291923
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
accuracy6.98625983854426
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.01953125
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
accuracy0.040983801157537796
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
accuracy0.041347509768442016
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
accuracy0.09761545026701576
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
66.0ms192×0exit
28.0ms64×0valid
Compiler

Compiled 389 to 43 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 21.0ms (29.3% of total)
ival-log: 11.0ms (15.3% of total)
ival-div: 8.0ms (11.2% of total)
ival-add: 8.0ms (11.2% of total)
ival-exp: 5.0ms (7% of total)
ival-pow: 5.0ms (7% of total)
ival-expm1: 4.0ms (5.6% of total)
ival-sub: 4.0ms (5.6% of total)
ival-pow2: 4.0ms (5.6% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
12.2MiB live, 61.1MiB allocated; 19ms collecting garbage
Counts
18 → 199
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)
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2
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(exp 2)
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(+ 2 (* -1 (/ (- (* 2 u) 2) v)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v)))
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(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1)
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u))
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(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
v
@0
((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v)))
8.0ms
u
@inf
((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v)))
7.0ms
u
@-inf
((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v)))
6.0ms
u
@0
((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v)))
6.0ms
v
@inf
((+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (- (exp (/ 2 v)) 1) (exp (/ -4 v)))

simplify249.0ms (2.9%)

Memory
-21.0MiB live, 205.0MiB allocated; 57ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09959681
136099374
090298433
Stop Event
iter limit
node limit
Counts
199 → 199
Calls
Call 1
Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
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(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
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2
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(exp 2)
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(- (+ 1 (* -1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3)))) (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u)))))
(* 2 (- 1 u))
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u)))
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u))))
(+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (+ (* 1/6 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (* 6 (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2))))) (pow v 2))) (* 2 (- 1 u)))))
(exp (* 2 (- 1 u)))
(+ (exp (* 2 (- 1 u))) (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)))
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2))))
(+ (exp (* 2 (- 1 u))) (+ (* -1/2 (/ (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) v)) (+ (/ (* (exp (* 2 (- 1 u))) (+ (* -1/6 (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2))))) (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)))) (pow v 2)) (/ (* (exp (* 2 (- 1 u))) (+ (* -1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (+ (* -1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 1/12 (* (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) (pow v 3)))))
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))))
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u))) (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))))))
(- (* 2 u) 1)
(- (+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v)) 1)
(- (+ (* 2 u) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))) 1)
(- (+ (* 2 u) (+ (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u)))))) (pow v 3)) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))) 1)
(* 2 u)
(+ (* 2 u) (/ (* u (+ 2 (* -2 u))) v))
(+ (* 2 u) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v)))
(+ (* 2 u) (+ (/ (* u (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u)))))) (pow v 3)) (+ (/ (* u (+ 4/3 (* -1/2 (- (* -8 u) (* -16 u))))) (pow v 2)) (/ (* u (+ 2 (* -2 u))) v))))
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(- 1 (* 4 (/ 1 v)))
(- (+ 1 (/ 8 (pow v 2))) (* 4 (/ 1 v)))
(- (+ 1 (/ 8 (pow v 2))) (+ (* 4 (/ 1 v)) (* 32/3 (/ 1 (pow v 3)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ 2 (* -2 u)) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) (* 2 (- 1 u)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) (* 2 (- 1 u)))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ 2 (* -1 (/ (- (* 2 u) 2) v)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3) v)) (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* 2 u)) 2) v)))
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1)
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3)) v)) (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(-.f32 (*.f32 (fma.f32 (*.f32 u (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 u v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) u) #s(literal 1 binary32))
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)
(-.f32 (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 #s(literal 6 binary32) (fma.f32 (*.f32 v (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (*.f32 (*.f32 v v) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 v (pow.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) (*.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)) #s(literal -2 binary32))) (*.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v v) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32))))) u) (*.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1)))))
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))
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(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))))
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(exp 2)
(exp.f32 #s(literal 2 binary32))
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1))))))
(fma.f32 (neg.f32 u) (*.f32 (*.f32 v (exp.f32 #s(literal 2 binary32))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 #s(literal 2 binary32)))
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 v (exp.f32 #s(literal 2 binary32)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (*.f32 u (exp.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 v v) (*.f32 v (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))))) u (exp.f32 #s(literal 2 binary32)))
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))
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(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(- (* u (* v (- (exp (/ 2 v)) 1))) 1)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(* u (* v (- (exp (/ 2 v)) 1)))
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))))
(*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+.f32 (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v))) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) v) (pow.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 v (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 v (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)))) #s(literal 1 binary32))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+.f32 (+.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (log.f32 u)))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
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(* u (+ 1 (* -1 (exp (/ -2 v)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) u)
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(*.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)
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(fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32))

rewrite710.0ms (8.2%)

Memory
-179.7MiB live, 378.0MiB allocated; 951ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045297
075288
1286284
21923284
09064279
Stop Event
iter limit
node limit
iter limit
Counts
18 → 566
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 v)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
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(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(*.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(*.f32 (fabs.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (fabs.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))) (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))))
(*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (cosh.f32 (/.f32 #s(literal -4 binary32) v))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -4 binary32) v))))) #s(literal 4 binary32))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 4 binary32) v)))
(-.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))))
(-.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal 4 binary32) v)))
(fma.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))
(pow.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
(fabs.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))))))
(+.f32 (cosh.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))
(+.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 (sinh.f32 (/.f32 #s(literal -4 binary32) v)) (cosh.f32 (/.f32 #s(literal -4 binary32) v)))
(+.f32 (cosh.f32 (/.f32 #s(literal -4 binary32) v)) (sinh.f32 (/.f32 #s(literal -4 binary32) v)))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))

eval132.0ms (1.5%)

Memory
-5.6MiB live, 225.4MiB allocated; 32ms collecting garbage
Compiler

Compiled 50 351 to 4 184 computations (91.7% saved)

prune44.0ms (0.5%)

Memory
-3.8MiB live, 89.6MiB allocated; 6ms collecting garbage
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New78327810
Fresh11819
Picked235
Done000
Total79638834
Accuracy
100.0%
Counts
834 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
99.6%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.7%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
95.2%
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
7.6%
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
9.6%
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
99.3%
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
99.3%
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))
99.2%
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
94.7%
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
9.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
99.5%
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
4.3%
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
9.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
11.1%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
12.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
7.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
12.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
11.2%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
9.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
99.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
7.6%
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
9.6%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
87.9%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
4.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
4.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
10.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
13.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
13.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
5.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 753 to 1 838 computations (33.2% saved)

simplify133.0ms (1.5%)

Memory
2.0MiB live, 141.3MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
cost-diff0
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
cost-diff0
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
cost-diff0
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
cost-diff0
(neg.f32 (*.f32 u v))
cost-diff0
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
cost-diff0
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
cost-diff0
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
cost-diff0
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
cost-diff0
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
cost-diff0
(/.f32 v #s(literal 2 binary32))
cost-diff0
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053410
086407
1127407
2235407
3647407
42116407
08401405
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(neg.f32 (*.f32 u v))
(*.f32 u v)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
#s(literal 1 binary32)
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(neg.f32 u)
u
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(neg.f32 v)
Outputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)))))
#s(literal 1 binary32)
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v))))
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(-.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)))
(neg.f32 (*.f32 u v))
(*.f32 (neg.f32 v) u)
(*.f32 u v)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v))))
#s(literal 1 binary32)
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v)))
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (neg.f32 v))
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(neg.f32 u)
u
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(neg.f32 v)

localize206.0ms (2.4%)

Memory
14.8MiB live, 198.8MiB allocated; 37ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.060878759768442016
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
accuracy0.06823880085870934
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
accuracy1.5985324927535505
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
accuracy23.74806856120007
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
accuracy0.01953125
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
accuracy0.060878759768442016
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
accuracy0.09650848522316578
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy30.07115712985894
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
accuracy0.14453125
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
accuracy0.29296875
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
accuracy14.32842378177185
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
accuracy30.3146589265313
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
accuracy3.8676010984977185
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
accuracy0.03515625
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
accuracy0.041347509768442016
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
accuracy0.09761545026701576
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.10967506092597981
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
Samples
141.0ms174×1valid
25.0ms82×0valid
Compiler

Compiled 312 to 42 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
adjust: 23.0ms (18.9% of total)
ival-add: 21.0ms (17.2% of total)
ival-mult: 19.0ms (15.6% of total)
ival-log: 18.0ms (14.8% of total)
ival-div: 11.0ms (9% of total)
ival-pow: 10.0ms (8.2% of total)
ival-expm1: 6.0ms (4.9% of total)
ival-sub: 4.0ms (3.3% of total)
ival-pow2: 4.0ms (3.3% of total)
ival-neg: 3.0ms (2.5% of total)
ival-exp: 2.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.9%)

Memory
-3.6MiB live, 142.7MiB allocated; 20ms collecting garbage
Counts
21 → 224
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(neg.f32 (*.f32 u v))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
Outputs
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v)))))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(log (pow (exp (/ -2 v)) 2))
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))))))
(pow (exp (/ -2 v)) 2)
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2))
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(- (* u (- (* -1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)
(- (* u (- (* u (- (* -1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))) (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))))) 1)
2
(+ 2 (* -1 (* u (* v (- (/ 1 (exp (/ -2 v))) 1)))))
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* 1/2 (* u (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))))
(+ 2 (* u (+ (* -1 (* v (- (/ 1 (exp (/ -2 v))) 1))) (* u (+ (* 1/6 (* u (+ (* -2 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))) (+ (* 6 (* v (* (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))) (- (/ 1 (exp (/ -2 v))) 1)))) (* 6 (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3)))))))))) (* 1/2 (+ (* -1 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 2 (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))))
(+ 2 (* -1 (* u (* v (- (exp (/ 2 v)) 1)))))
(* -1 (* u v))
(exp 2)
(+ (exp 2) (* -1 (* u (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1))))))
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2)))))))))
(+ (exp 2) (* u (+ (* -1 (* v (* (exp 2) (- (/ 1 (exp (/ -2 v))) 1)))) (* u (+ (* u (* (exp 2) (+ (* -1/2 (/ (* (pow v 2) (* (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (- (/ 1 (exp (/ -2 v))) 1))) (pow (exp (/ -2 v)) 2))) (+ (* -1/3 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))) (* -1/6 (* (pow v 3) (pow (- (/ 1 (exp (/ -2 v))) 1) 3))))))) (* (exp 2) (+ (* 1/2 (* (pow v 2) (pow (- (/ 1 (exp (/ -2 v))) 1) 2))) (* 1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))))))))))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(+ 1 (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))))
(+ 1 (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* 1/12 (/ (* v (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))))) (pow u 3))) (+ (* 1/4 (/ (* v (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))) (pow u 2))) (+ (* 1/2 (* v (+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u)))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (* -2 (log (/ 1 u))))
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ (log (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (+ (* -2 (log (/ 1 u))) (+ (* 1/6 (/ (+ (* -12 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* 16 (/ (pow (exp (/ -2 v)) 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (pow u 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (/ (pow (exp (/ -2 v)) 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow u 2))) (* 2 (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))))
(* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))
(* (pow u 2) (+ (* 2 (/ (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))) u)) (+ (/ (pow (exp (/ -2 v)) 2) (pow u 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(- 1 (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))))
(- (+ 1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))))
(- (+ 1 (* -1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2)))) (+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(- (+ 1 (* -1/6 (/ (+ (* -2 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* 6 (+ (* -1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (+ (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (* -1/6 (/ (* (pow v 3) (pow (exp (/ -2 v)) 3)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))))) (* 6 (/ (* v (* (exp (/ -2 v)) (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (+ 1 (* -1 (exp (/ -2 v)))))))) (pow u 3)))) (+ (* -1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))) (* 1/2 (/ (+ (* -1 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 2 (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (* 1/2 (/ (* (pow v 2) (pow (exp (/ -2 v)) 2)) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))))) (pow u 2))))))
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(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
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(/ 2 v)
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(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
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(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v))))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
v
@0
((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1))
9.0ms
u
@inf
((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1))
7.0ms
u
@0
((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1))
7.0ms
v
@-inf
((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1))
6.0ms
v
@inf
((+ (* (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2))) 1) (/ v 2) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2)) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (neg (* u v)) (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (exp (/ -2 v)) (- (exp (/ 2 v)) 1) (/ (+ (/ 2 v) 2) v) (- (exp (/ 2 v)) 1))

simplify223.0ms (2.6%)

Memory
5.6MiB live, 342.0MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119511429
1441910251
082129388
Stop Event
iter limit
node limit
Counts
224 → 224
Calls
Call 1
Inputs
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))))
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(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))))) (* 1/12 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3))))) (* 1/48 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v))) v)) (* -1/4 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v))))
(* -1 (/ (+ (* -1/2 (/ (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))) v)) (* 4 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- 1 u) 4)) (+ (* -96 (* (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) (- 1 u))) (+ (* -12 (pow (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) 2)) (+ (* 24 (+ (* 4/3 (- 1 u)) (+ (* 4 (pow (- 1 u) 2)) (* 16/3 (pow (- 1 u) 2))))) (* 384 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (pow (- 1 u) 2))))))) v)) (* 1/6 (+ (* -24 (* (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) (- 1 u))) (+ (* 6 (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2)))) (* 128 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -16 (pow (- 1 u) 2)) (* 2 (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))))))) v)) (* 4 (- 1 u))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2))) v)) (* 4 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 8/3 (- 1 u)) (* 8 (pow (- 1 u) 2))) v)) (+ (* 4 (- 1 u)) (* 4 (pow (- 1 u) 2)))) v)) (* 4 (- 1 u))) v)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ 2 (* -2 u)) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) (* 2 (- 1 u)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) (* 2 (- 1 u)))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v))))
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v))))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
Outputs
(+ 1 (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (/ (* u (* v (+ 1 (* -1 (exp (/ -2 v)))))) (exp (/ -2 v)))))
(+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* 1/4 (* u (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) v) (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (*.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (* v (log (pow (exp (/ -2 v)) 2)))) (* u (+ (* u (+ (* 1/12 (* u (* v (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))))))) (* 1/4 (* v (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))))) (/ (* v (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(+.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) v) (*.f32 (*.f32 #s(literal 1/4 binary32) v) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)))) u (*.f32 v (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (*.f32 (*.f32 #s(literal 1/2 binary32) v) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal 1 binary32))
(log (pow (exp (/ -2 v)) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))
(+ (log (pow (exp (/ -2 v)) 2)) (* 2 (/ (* u (+ 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 #s(literal 2 binary32) u) (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 1/2 (* u (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2)))))) (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))
(+ (log (pow (exp (/ -2 v)) 2)) (* u (+ (* 2 (/ (+ 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))) (* u (+ (* 1/6 (* u (+ (* -12 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3))) (* 16 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 3) (pow (exp (/ -2 v)) 3)))))) (* 1/2 (+ (* -4 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -2 binary32)) #s(literal 1/2 binary32))) u (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) u (log.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))
(pow (exp (/ -2 v)) 2)
(exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))
(+ (* 2 (* u (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v))))))) (pow (exp (/ -2 v)) 2))
(fma.f32 (*.f32 #s(literal 2 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))
(+ (* u (+ (* 2 (* (exp (/ -2 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (pow (exp (/ -2 v)) 2))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) u (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal 1/3 binary32) (*.f32 (*.f32 v (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal 2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
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(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
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(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))) (* 2 (- 1 u)))
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(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))) v) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (* (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) (+ (* 1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (* 6 (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))))) v)) (* 1/2 (+ (* -1/4 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 2 (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u)))
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -3 binary32) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) (fma.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/48 binary32) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/24 binary32)))) #s(literal 6 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/4 binary32)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v))))
(+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32))
(+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v))))
(+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) v) (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/2 binary32))) v))
(+ (exp (* 2 (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (- 1 u))) (+ (* 1/48 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 3)) (+ (* 1/24 (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3))))))) (* 1/12 (* (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))))) v)) (* (exp (* 2 (- 1 u))) (+ (* 1/8 (pow (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) 2)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))))) v)) (* 1/2 (* (exp (* 2 (- 1 u))) (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))))) v)))
(-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/48 binary32) (fma.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))))) (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/24 binary32)))) v) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32)))) #s(literal 1/6 binary32))) (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 v))) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal 1 binary32) u))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) (neg.f32 v))) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))

rewrite196.0ms (2.3%)

Memory
0.4MiB live, 229.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053341
086338
1303334
22143334
08830331
Stop Event
iter limit
node limit
iter limit
Counts
21 → 432
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))
(pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
#s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(neg.f32 (*.f32 u v))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
(log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v)))
(pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
#s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
Outputs
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)))))
(-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))) (/.f32 v #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (neg.f32 v))))
(fma.f32 (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 v #s(literal 2 binary32))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (*.f32 (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
(fma.f32 (/.f32 v #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (/.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 v (/.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))) (/.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v))))))
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(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (neg.f32 (neg.f32 v)) (*.f32 (neg.f32 v) #s(literal 2 binary32))) (*.f32 (neg.f32 v) (neg.f32 (neg.f32 v))))
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) v (*.f32 (neg.f32 v) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (*.f32 (neg.f32 v) v) #s(literal -2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) (neg.f32 v)))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 (neg.f32 v)) (*.f32 (*.f32 (neg.f32 v) v) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) (neg.f32 (neg.f32 v))))
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (*.f32 (neg.f32 v) v) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 v) v) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 (*.f32 v v) #s(literal -2 binary32))) (pow.f32 (neg.f32 v) #s(literal 3 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 v)) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (*.f32 (*.f32 v v) (neg.f32 (neg.f32 v))))
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 (*.f32 v v) #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (neg.f32 v) (/.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (neg.f32 v) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 v) #s(literal -2 binary32))) (*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v)))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v v) (*.f32 (neg.f32 v) #s(literal 2 binary32))) (pow.f32 (neg.f32 v) #s(literal 3 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 (neg.f32 v)) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 (neg.f32 v)) (neg.f32 v)))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 (neg.f32 v)) #s(literal -2 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 (neg.f32 v) v)))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 (neg.f32 (neg.f32 v)) #s(literal 2 binary32))) (*.f32 (neg.f32 (neg.f32 v)) (*.f32 v v)))
(/.f32 (fma.f32 #s(literal 2 binary32) v (*.f32 v (/.f32 #s(literal 2 binary32) v))) (*.f32 v v))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 v (/.f32 #s(literal -2 binary32) v))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (neg.f32 v) v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (*.f32 (neg.f32 v) v)))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 v #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) v (*.f32 v #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v))
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(-.f32 (/.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)))
(-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (/.f32 #s(literal 4 binary32) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)))
(-.f32 (/.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) v) (/.f32 (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) v))
(+.f32 (/.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v))))) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v)) (*.f32 v (neg.f32 v))) (/.f32 (*.f32 v #s(literal -2 binary32)) (*.f32 v (neg.f32 v))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) v) (*.f32 v v)) (/.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 v v)))
(+.f32 (/.f32 #s(literal 8 binary32) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)) (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)))
(+.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)) (/.f32 #s(literal 8 binary32) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v)) v)))
(+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v))) v) (/.f32 (/.f32 #s(literal 8 binary32) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal -4 binary32) v))) v))
(+.f32 (/.f32 (/.f32 #s(literal 2 binary32) v) v) (/.f32 #s(literal 2 binary32) v))
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal 2 binary32) v) v))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)) v))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (expm1.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))

eval110.0ms (1.3%)

Memory
9.0MiB live, 150.1MiB allocated; 47ms collecting garbage
Compiler

Compiled 38 290 to 3 394 computations (91.1% saved)

prune40.0ms (0.5%)

Memory
23.5MiB live, 69.8MiB allocated; 9ms collecting garbage
Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New6487655
Fresh82230
Picked235
Done033
Total65835693
Accuracy
100.0%
Counts
693 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
99.6%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 #s(approx (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (neg.f32 u))) u) #s(literal -1 binary32) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 u u)))) #s(literal 1 binary32))
99.6%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.7%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
95.2%
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
99.7%
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
9.6%
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
99.3%
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
99.3%
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))
99.2%
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
94.7%
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
9.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
13.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
7.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
11.4%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
10.8%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
99.5%
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
4.3%
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
9.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
11.2%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
9.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
99.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
9.6%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
87.9%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
4.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
4.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
10.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
5.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 519 to 1 659 computations (34.1% saved)

simplify177.0ms (2%)

Memory
-7.2MiB live, 141.0MiB allocated; 86ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
cost-diff0
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u)
cost-diff0
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
cost-diff0
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
cost-diff0
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
cost-diff0
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
cost-diff2
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
cost-diff1
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff2
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v))
cost-diff0
(*.f32 #s(literal 2 binary32) u)
cost-diff0
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
cost-diff0
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
cost-diff0
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff0
(/.f32 v #s(literal 2 binary32))
cost-diff0
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082844
0134824
1241802
2582802
31953802
47488794
08110793
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))
(*.f32 u u)
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
(*.f32 #s(literal 2 binary32) u)
#s(literal 2 binary32)
u
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
#s(literal 2/3 binary32)
(*.f32 v v)
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
(neg.f32 v)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u)
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
v
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(literal 2 binary32)
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(*.f32 #s(literal -1/2 binary32) u)
#s(literal -1/2 binary32)
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 1 binary32)
Outputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(fma.f32 (log.f32 (/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))) (/.f32 v #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))
(-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))
(*.f32 u u)
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32))) #s(literal 1 binary32))
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 u #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) u)
(*.f32 u #s(literal 2 binary32))
#s(literal 2 binary32)
u
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) v) #s(literal -4/3 binary32)) v) #s(literal -2 binary32)) v)
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))
(+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
#s(literal 2/3 binary32)
(*.f32 v v)
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
(neg.f32 v)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32))
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u)
(*.f32 (*.f32 u v) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
v
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(literal 2 binary32)
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(/.f32 #s(literal -4 binary32) v)
#s(literal -4 binary32)
(*.f32 #s(literal -1/2 binary32) u)
#s(literal -1/2 binary32)
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 1 binary32)

localize187.0ms (2.2%)

Memory
-6.0MiB live, 183.5MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09650848522316578
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.13967517734132437
(exp.f32 (/.f32 #s(literal -4 binary32) v))
accuracy5.163384582811734
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
accuracy6.491177586753774
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
accuracy0.040983801157537796
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
accuracy0.041347509768442016
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
accuracy0.0926022352231658
(exp.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.0859375
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
accuracy0.08822250976844201
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
accuracy6.295639734963601
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)))
accuracy6.626476729291923
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
accuracy0.0
(*.f32 #s(literal 2 binary32) u)
accuracy0.0078125
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
accuracy6.491177586753774
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
accuracy7.399030363183099
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
accuracy0.0703125
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.09761545026701576
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.13967517734132437
(exp.f32 (/.f32 #s(literal -4 binary32) v))
accuracy0.14453125
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
Samples
104.0ms192×0exit
31.0ms64×0valid
Compiler

Compiled 700 to 70 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 30.0ms (27% of total)
ival-mult: 28.0ms (25.2% of total)
ival-add: 16.0ms (14.4% of total)
ival-log: 8.0ms (7.2% of total)
ival-sub: 7.0ms (6.3% of total)
ival-exp: 6.0ms (5.4% of total)
const: 6.0ms (5.4% of total)
ival-pow2: 5.0ms (4.5% of total)
ival-expm1: 4.0ms (3.6% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series191.0ms (2.2%)

Memory
-2.8MiB live, 126.8MiB allocated; 56ms collecting garbage
Counts
29 → 263
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
(*.f32 #s(literal 2 binary32) u)
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u)
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
Outputs
-1
(- (* 1/2 (* u (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))) 1)
(- (* u (+ (* 1/4 (* u (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))))) 1)
(- (* u (+ (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) (* u (+ (* 1/12 (* u (* v (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* 1/4 (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))))) 1)
(/ -4 v)
(- (* u (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v)))
(- (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* 1/2 (* u (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v)))
(- (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v)))
(exp (/ -4 v))
(+ (exp (/ -4 v)) (* u (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(+ (exp (/ -4 v)) (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* u (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(+ (exp (/ -4 v)) (* u (- (+ (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* u (- (+ (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* u (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))))
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (* v (- (exp (/ 2 v)) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1)
(* u (* v (- (exp (/ 2 v)) 1)))
(* u (+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1))))
(* 2 u)
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
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Calls

6 calls:

TimeVariablePointExpression
67.0ms
v
@0
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28.0ms
u
@0
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26.0ms
u
@inf
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20.0ms
v
@inf
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13.0ms
v
@-inf
((+ (* (/ v 2) (log (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v))))))) 1) (/ v 2) (log (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v)))))) (/ (* (+ (* (- 1 u) (exp (/ -2 v))) u) (- (* u u) (* (pow (- 1 u) 2) (exp (/ -4 v))))) (- u (* (- 1 u) (exp (/ -2 v))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (* 2 u) (+ (+ 2 (/ 2/3 (* v v))) (/ 4/3 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (+ (+ 2 (/ 2/3 (* v v))) (/ 4/3 v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/ 1 (exp (/ 2 v))) (+ (* (log (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u)) v) 1) (log (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u)) (+ (* (/ 1 (exp (/ 2 v))) (- 1 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) u) 1) (* (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) u) (* v (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1))) (pow (- 1 u) 2) (exp (/ -4 v)) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (- (exp (/ 2 v)) 1) (/ 2/3 (* v v)) (exp (/ 2 v)) (+ (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) (* -1/2 u)) (- (exp (/ 2 v)) 1)) (- (exp (/ 2 v)) 1))

simplify238.0ms (2.8%)

Memory
5.2MiB live, 197.1MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159923883
1571222404
0825921146
Stop Event
iter limit
node limit
Counts
263 → 263
Calls
Call 1
Inputs
-1
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(/ -4 v)
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(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3) v)))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (+ (* -1 (/ (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))))) v)) (* -1/2 (- (* 8 u) (* 16 u)))) 4/3) v)))) v)) 2) v))
Outputs
-1
#s(literal -1 binary32)
(- (* 1/2 (* u (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))))) 1)
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)) #s(literal 1 binary32))
(- (* u (+ (* 1/4 (* u (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v)))))))) (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))))) 1)
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) u) (*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (neg.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) #s(literal 2 binary32)))))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) u) #s(literal 1 binary32))
(- (* u (+ (* 1/2 (* v (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v))))))) (* u (+ (* 1/12 (* u (* v (+ (* -6 (/ (* (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (pow (exp (/ -4 v)) 2))) (+ (* 2 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 3) (pow (exp (/ -4 v)) 3))) (* 6 (/ (- (* -1 (/ (* (+ 1 (* -1 (exp (/ -2 v)))) (- 1 (exp (/ -4 v)))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))) (* 1/4 (* v (+ (* -1 (/ (pow (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v))))) 2) (pow (exp (/ -4 v)) 2))) (* 2 (/ (- (* -1 (/ (+ (* 2 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* (exp (/ -2 v)) (- 1 (exp (/ -4 v))))) (exp (/ -2 v)))) (* -1 (/ (* (- 1 (* -1 (exp (/ -2 v)))) (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (exp (/ -2 v)))) (* -1 (/ (* (exp (/ -4 v)) (- 1 (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))) (exp (/ -2 v))))) (exp (/ -4 v))))))))))) 1)
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) u) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) #s(literal 2 binary32))))) #s(literal -6 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 6 binary32) (*.f32 (pow.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 3 binary32)) #s(literal 2 binary32)))) v) (*.f32 (*.f32 #s(literal 1/4 binary32) v) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 2 binary32) (neg.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -4 binary32) v) #s(literal 2 binary32)))))))) u (*.f32 (*.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) u) #s(literal 1 binary32))
(/ -4 v)
(/.f32 #s(literal -4 binary32) v)
(- (* u (- (* -1 (/ (+ (* -1 (* (exp (/ -4 v)) (+ 1 (* -1 (exp (/ -2 v)))))) (* 2 (* (exp (/ -4 v)) (exp (/ -2 v))))) (* (exp (/ -4 v)) (exp (/ -2 v))))) (* -1 (/ (- 1 (* -1 (exp (/ -2 v)))) (exp (/ -2 v)))))) (* 4 (/ 1 v)))
(-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) #s(literal 2 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) u) (/.f32 #s(literal 4 binary32) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal -1/6 binary32) (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 #s(literal -64 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal -48 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))) v) (*.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) v))) v))) v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) v)) #s(literal 2 binary32)) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))
(fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32))
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v))
(neg.f32 (/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) #s(literal 2 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* -1/2 (- (* 8 u) (* 16 u))) 4/3) v)))) v)) 2) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -8 binary32) u) #s(literal -1/2 binary32)) #s(literal 4/3 binary32))) v)) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (+ (* -1 (/ (+ 2/3 (* -1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u))))) v)) (* -1/2 (- (* 8 u) (* 16 u)))) 4/3) v)))) v)) 2) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) v))) #s(literal 4/3 binary32)) v))) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v))

rewrite184.0ms (2.1%)

Memory
3.5MiB live, 151.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082605
0134586
1501569
24074569
08121568
Stop Event
iter limit
node limit
iter limit
Counts
29 → 406
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(/.f32 v #s(literal 2 binary32))
(log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
(-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
#s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u))
(*.f32 #s(literal 2 binary32) u)
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32))
(*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u)
(*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
Outputs
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))) (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) #s(literal 2 binary32)) (log.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))))
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(fma.f32 #s(literal -1/2 binary32) (*.f32 u (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(fma.f32 u (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal -1/2 binary32)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(+.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 3 binary32)) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (pow.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal 2 binary32)))))
(+.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(+.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) u) (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))

eval124.0ms (1.4%)

Memory
-16.3MiB live, 126.4MiB allocated; 25ms collecting garbage
Compiler

Compiled 50 914 to 4 294 computations (91.6% saved)

prune47.0ms (0.5%)

Memory
16.2MiB live, 63.0MiB allocated; 4ms collecting garbage
Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New65511666
Fresh42024
Picked325
Done066
Total66239701
Accuracy
100.0%
Counts
701 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 #s(approx (pow (- 1 u) 2) (fma.f32 (-.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
99.6%
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 #s(approx (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) 2) (*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (neg.f32 u))) u) #s(literal -1 binary32) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 u u)))) #s(literal 1 binary32))
99.7%
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.6%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
95.1%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
91.8%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
94.1%
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.7%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
95.2%
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
9.6%
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
10.7%
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
99.3%
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
99.3%
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)))
99.2%
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
99.4%
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (neg.f32 (/.f32 v #s(literal 2 binary32))))))
94.7%
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
9.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
13.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
7.6%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
11.4%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
10.8%
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
99.5%
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
9.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
11.2%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
9.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
99.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
9.6%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
87.9%
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
4.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
4.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
10.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
5.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 966 to 1 480 computations (62.7% saved)

regimes121.0ms (1.4%)

Memory
-6.5MiB live, 40.3MiB allocated; 3ms collecting garbage
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -6 binary32) v)))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))))
Outputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
Calls

4 calls:

70.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
16.0ms
u
16.0ms
v
15.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.7%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.7%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.7%1u
99.7%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes147.0ms (1.7%)

Memory
-11.9MiB live, 42.4MiB allocated; 6ms collecting garbage
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
(+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (/.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v) #s(literal -1 binary32) #s(literal 4 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 v (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 #s(approx (pow (- 1 u) 2) (fma.f32 (-.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (fma.f32 (neg.f32 u) u (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (+.f32 (neg.f32 u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
Outputs
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Calls

4 calls:

98.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
16.0ms
u
16.0ms
v
13.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.7%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.7%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.7%1u
99.7%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes49.0ms (0.6%)

Memory
-0.2MiB live, 46.5MiB allocated; 2ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
(+.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v)) #s(literal 1 binary32))
(+.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) v)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v))))
(fma.f32 #s(approx (/ v 2) (*.f32 #s(literal 1/2 binary32) v)) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 2 binary32))) #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Calls

4 calls:

13.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
12.0ms
u
11.0ms
v
10.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.7%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.7%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.7%1u
99.7%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes38.0ms (0.4%)

Memory
37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
Calls

4 calls:

9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
9.0ms
u
9.0ms
v
8.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
95.2%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
95.2%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
95.2%1u
95.2%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes40.0ms (0.5%)

Memory
-0.3MiB live, 46.3MiB allocated; 3ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Calls

4 calls:

12.0ms
u
9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
9.0ms
v
8.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
95.1%1v
95.1%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
95.1%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
95.1%1u
Compiler

Compiled 30 to 27 computations (10% saved)

regimes38.0ms (0.4%)

Memory
-11.9MiB live, 32.7MiB allocated; 4ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Calls

4 calls:

12.0ms
v
9.0ms
u
9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
7.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
94.1%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
94.1%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
94.1%1u
94.1%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes34.0ms (0.4%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))))
Outputs
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Calls

4 calls:

9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
8.0ms
u
8.0ms
v
7.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
91.8%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.8%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
91.8%1u
91.8%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes62.0ms (0.7%)

Memory
-12.4MiB live, 37.5MiB allocated; 8ms collecting garbage
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) (fma.f32 (neg.f32 (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

38.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
8.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
7.0ms
v
7.0ms
u
Results
AccuracySegmentsBranch
87.9%1u
91.6%2v
91.7%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 30 to 27 computations (10% saved)

regimes25.0ms (0.3%)

Memory
-21.7MiB live, 21.9MiB allocated; 6ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 4/3 binary32) (*.f32 #s(literal 2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) v)) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -1 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) (neg.f32 v))) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 2/3 binary32) v) v)) (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

12.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
6.0ms
v
5.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
91.4%2v
91.5%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.5%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes13.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

4.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
v
4.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
91.3%2v
91.3%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.3%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes12.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (fma.f32 #s(literal 2 binary32) u (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 u (/.f32 u v)) #s(literal 2 binary32)) (neg.f32 v))))))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

4.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
v
3.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
87.9%1v
91.1%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.1%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes10.0ms (0.1%)

Memory
-34.7MiB live, 12.1MiB allocated; 1ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (+.f32 u u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

4.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
3.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
3.0ms
v
Results
AccuracySegmentsBranch
87.9%1v
87.9%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
87.9%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Calls

4 calls:

1.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms
u
1.0ms
v
1.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
5.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
5.5%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
5.5%1u
5.5%1v
Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.36910414695739746
0.46802085638046265
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.36910414695739746
0.46802085638046265
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.36910414695739746
0.46802085638046265
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.36910414695739746
0.46802085638046265
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify58.0ms (0.7%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161588
1252582
2451582
31013582
43640582
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
(fma.f32 (/.f32 v #s(literal 2 binary32)) (log.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (-.f32 (*.f32 u u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 4 binary32) (*.f32 #s(literal 32 binary32) u))) (neg.f32 #s(literal 1/2 binary32))) #s(literal 2/3 binary32)) v)) #s(literal -1 binary32) #s(literal -4/3 binary32)) v)) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (*.f32 #s(literal -8 binary32) u) #s(literal 1/2 binary32) #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal 2 binary32))) u) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (+.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) (*.f32 #s(literal -4/3 binary32) (/.f32 u (*.f32 v v)))) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #s(literal -13421773/67108864 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (log (pow (+ (* (exp (/ -2 v)) (- 1 u)) u) (neg v))) #s(approx (+ (* (neg (* u v)) (- (exp (/ 2 v)) 1)) 2) (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

derivations1.2s (14.4%)

Memory
-8.0MiB live, 516.6MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119511429
1441910251
082129388
053341
086338
1303334
22143334
08830331
082605
0134586
1501569
24074569
08121568
09959681
136099374
090298433
0159923883
1571222404
0825921146
045297
075288
1286284
21923284
09064279
03372667
110902450
244822387
082932134
01253
02053
17453
248853
3526853
0831248
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 588 to 166 computations (71.8% saved)

preprocess72.0ms (0.8%)

Memory
1.7MiB live, 92.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 206 to 356 computations (70.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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