HairBSDF, sample_f, cosTheta

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze122.0ms (1.5%)

Memory
-8.8MiB live, 182.5MiB allocated; 70ms 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)

sample2.5s (29.9%)

Memory
-45.6MiB live, 2 824.6MiB allocated; 1.2s collecting garbage
Samples
2.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult: 681.0ms (39.3% of total)
const: 240.0ms (13.9% of total)
ival-<=: 218.0ms (12.6% of total)
ival-exp: 160.0ms (9.2% of total)
ival-add: 138.0ms (8% of total)
ival-log: 136.0ms (7.9% of total)
ival-div: 69.0ms (4% of total)
ival-sub: 47.0ms (2.7% of total)
ival-and: 25.0ms (1.4% of total)
exact: 13.0ms (0.8% of total)
ival-assert: 4.0ms (0.2% of total)
adjust: 3.0ms (0.2% of total)
Bogosity

explain182.0ms (2.2%)

Memory
24.5MiB live, 305.9MiB allocated; 48ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
05(0.008342912420630455 0.004457572940737009)0-(exp.f32 (/.f32 #s(literal -2 binary32) v))
00-0-u
00-0-(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
00-0-(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))sensitivity50
Confusion
Predicted +Predicted -
+02
-5249
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+011
-51248
Precision?
0.14285714285714285
Recall?
0.5
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 161 to 40 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 9.0ms (26.5% of total)
ival-mult: 6.0ms (17.6% of total)
ival-add: 5.0ms (14.7% of total)
ival-log: 5.0ms (14.7% of total)
ival-exp: 4.0ms (11.8% of total)
ival-sub: 3.0ms (8.8% of total)
exact: 1.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess149.0ms (1.8%)

Memory
15.7MiB live, 207.9MiB allocated; 38ms 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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune5.0ms (0.1%)

Memory
-44.8MiB live, 0.9MiB allocated; 6ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(+.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)

simplify114.0ms (1.4%)

Memory
40.1MiB live, 137.8MiB allocated; 15ms 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)

localize34.0ms (0.4%)

Memory
7.5MiB live, 53.3MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.04032003162065376
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.046684705917839735
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.05144501953688403
(+.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)))))))
accuracy0.29296875
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
26.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (32.7% of total)
ival-mult: 3.0ms (16.4% of total)
ival-log: 3.0ms (16.4% of total)
ival-add: 2.0ms (10.9% of total)
ival-exp: 2.0ms (10.9% of total)
ival-sub: 2.0ms (10.9% 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)

series113.0ms (1.3%)

Memory
-3.7MiB live, 165.1MiB allocated; 69ms 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
96.0ms
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)))
7.0ms
u
@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)))
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)))
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)))

simplify198.0ms (2.4%)

Memory
12.2MiB live, 168.1MiB allocated; 101ms 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))

rewrite200.0ms (2.4%)

Memory
-24.8MiB live, 210.7MiB allocated; 38ms 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))

eval36.0ms (0.4%)

Memory
18.2MiB live, 63.4MiB allocated; 4ms collecting garbage
Compiler

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

prune33.0ms (0.4%)

Memory
-4.3MiB live, 53.2MiB allocated; 4ms collecting garbage
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New27024294
Fresh000
Picked011
Done000
Total27025295
Accuracy
99.9%
Counts
295 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
99.5%
(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))
99.2%
(/.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)))
99.4%
(+.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))
99.5%
(+.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))
99.3%
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 3 binary32)) (pow.f32 (/.f32 (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))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (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))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 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 (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))))))))))
99.5%
(+.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)))))))
2.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 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))))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
2.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
10.6%
(+.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)))))
12.2%
(+.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 (/.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)))))
7.8%
(+.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)))))
99.2%
(+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))))
14.7%
(+.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))))
12.4%
(+.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))))
10.7%
(+.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))))
94.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))))
7.8%
#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)))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
6.1%
#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)))
5.8%
#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)))
10.7%
#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)))
87.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 839 to 1 050 computations (42.9% saved)

simplify103.0ms (1.2%)

Memory
-24.9MiB live, 111.4MiB allocated; 8ms 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
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
cost-diff0
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
cost-diff1
(+.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))
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
#s(approx (+ u (* (- 1 u) (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))))
cost-diff0
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
cost-diff0
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048485
080476
1138472
2295472
3919472
43935472
08146463
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.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) v)
#s(literal -2 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) (*.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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(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)
u
#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
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
(*.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v)
v
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.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) v)
#s(literal -2 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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(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 1 binary32)
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(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)
u
#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)

localize109.0ms (1.3%)

Memory
0.5MiB live, 142.5MiB allocated; 9ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.049160009768442016
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.061108813241307514
(exp.f32 (/.f32 #s(literal -4 binary32) v))
accuracy6.135908556287195
(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))
accuracy6.565444021770455
#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)))
accuracy0.04032003162065376
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.046684705917839735
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
accuracy0.05078125
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
accuracy0.05144501953688403
(+.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))
accuracy0.049160009768442016
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.05078125
(*.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))))
accuracy0.05144501953688403
(+.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)))))
accuracy6.781432133229016
#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)))
accuracy7.288961995542601
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.04408360241743066
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
accuracy0.046684705917839735
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
accuracy0.05078125
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
accuracy0.05144501953688403
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
Samples
63.0ms188×0exit
19.0ms68×0valid
Compiler

Compiled 412 to 42 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 20.0ms (31.8% of total)
ival-log: 14.0ms (22.2% of total)
ival-add: 8.0ms (12.7% of total)
ival-div: 6.0ms (9.5% of total)
ival-exp: 4.0ms (6.4% of total)
ival-expm1: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-pow2: 3.0ms (4.8% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
43.5MiB live, 43.5MiB allocated; 0ms collecting garbage
Counts
21 → 146
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
#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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(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)
(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)
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(exp.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
(- (* 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)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(* v (- (exp (/ 2 v)) 1))
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 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))))
(+ 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 (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* -1/2 (/ (* (pow u 2) (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* (pow u 2) (- (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)) (/ 1 (pow u 2))))
(+ 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)))))))
(* 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 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1)
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)))
(- 1 (exp (/ -2 v)))
(- (exp (/ 2 v)) 1)
(exp (/ -4 v))
(+ 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))))))
(* -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 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 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
2
(+ 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)))
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Calls

6 calls:

TimeVariablePointExpression
12.0ms
v
@0
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v)))
4.0ms
v
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v)))
4.0ms
u
@0
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v)))
3.0ms
u
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v)))
3.0ms
u
@-inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 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 (+ (* (exp (/ -2 v)) (- 1 u)) u)) v)) (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (* 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) (- 1 (exp (/ -2 v))) (- (exp (/ 2 v)) 1) (exp (/ -2 v)) (exp (/ -4 v)))

simplify191.0ms (2.3%)

Memory
-7.4MiB live, 133.4MiB allocated; 65ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144057
120183757
278013681
083143285
Stop Event
iter limit
node limit
Counts
146 → 146
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
(- (* 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)
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(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
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(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
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(* v (- (exp (/ 2 v)) 1))
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1
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(+ 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))))))
(* -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 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 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
2
(+ 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 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v)
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) 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 (* 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 (* 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))))
(+ (* -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 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 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))
(+ 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 (/ (- (* 2 (/ 1 v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) 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 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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 #s(literal -1/2 binary32) 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))) 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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.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)) 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 #s(literal -1/2 binary32) 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))) 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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.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)) 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 #s(literal -1/2 binary32) 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))) 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))
(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)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(* 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 #s(literal -1/2 binary32) 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))) v) (*.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 #s(literal -1/2 binary32) 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))) v) (*.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 #s(literal -1/2 binary32) 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))) v) (*.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 (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))))))))
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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)))))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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 (/.f32 v u) u)) (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) v) (exp.f32 (/.f32 #s(literal -6 binary32) v))) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(*.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v)
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 v u) u)) (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 v u) u)) (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/3 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32))) (*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (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))))
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(-.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 (/ (+ 2 (* -2 u)) v))
(/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.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)) (neg.f32 v))
(+ 2 (* -1 (/ (- (* 2 u) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) 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)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))
(- (+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u)) 1)
(-.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v) (*.f32 #s(literal 2 binary32) u)) #s(literal 1 binary32))
(- (+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u)) 1)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v))) #s(literal 1 binary32))
(- (+ (* -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)
(-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))
(+ (* -1 (/ (* u (- (* 2 u) 2)) v)) (* 2 u))
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v) (*.f32 #s(literal 2 binary32) u))
(+ (* -1 (/ (+ (* -1 (/ (* u (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* u (- (* 2 u) 2))) v)) (* 2 u))
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (neg.f32 v)))
(+ (* -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))
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (- (* 2 (/ 1 v)) 2) v))
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v))
(neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -1 binary32) #s(literal -2 binary32)) v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.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))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.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))
(+ 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 (/ (- 4 (* 8 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v))

rewrite266.0ms (3.2%)

Memory
20.7MiB live, 204.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048377
080368
1312364
22136364
08892355
Stop Event
iter limit
node limit
iter limit
Counts
21 → 458
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
#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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(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)
(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)
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(exp.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 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) 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 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))))))
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(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 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 (*.f32 (cosh.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 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.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 (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 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))))))
(/.f32 (-.f32 (*.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 (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 (-.f32 (*.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 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.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)))
(fma.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (*.f32 (cosh.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 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.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))
(*.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -4 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 (+.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 (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)))

eval107.0ms (1.3%)

Memory
-17.8MiB live, 121.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 40 339 to 3 732 computations (90.7% saved)

prune73.0ms (0.9%)

Memory
-1.2MiB live, 89.3MiB allocated; 6ms collecting garbage
Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New65329682
Fresh10919
Picked235
Done011
Total66542707
Accuracy
99.9%
Counts
707 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
99.5%
(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))
99.6%
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
99.2%
(/.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)))
99.4%
(+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32))))))
99.4%
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v))
99.5%
(+.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))
2.3%
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.f32 #s(literal 1 binary32) u) u)) v))
99.5%
(+.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)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
2.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
11.5%
(+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
11.9%
(+.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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
12.2%
(+.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 (/.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)))))
13.9%
(+.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 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) 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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
7.8%
(+.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) u #s(literal -2 binary32)) v)))))
11.5%
(+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
12.0%
(+.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
12.0%
(+.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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))))))
99.2%
(+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))))
10.7%
(+.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))))
94.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))))
7.8%
#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)))
12.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
5.8%
#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)))
10.7%
#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)))
14.8%
#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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))
12.0%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
11.1%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
12.0%
#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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
7.8%
#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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
7.8%
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
12.0%
#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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 binary32)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u))))
87.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 652 to 2 430 computations (33.5% saved)

simplify146.0ms (1.7%)

Memory
27.0MiB live, 123.1MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
cost-diff2
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff4
(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)))))
cost-diff0
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
cost-diff0
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
cost-diff0
#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)))
cost-diff0
(+.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))))
cost-diff0
#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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
cost-diff0
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))
cost-diff1
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
cost-diff1
(+.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
cost-diff0
#s(approx (+ u (* (- 1 u) (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))))
cost-diff0
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
cost-diff0
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064712
0105712
1191707
2449707
31569686
46575686
08106652
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.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
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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))
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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v))
#s(literal 2 binary32)
u
(/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
#s(literal 4/3 binary32)
(/.f32 u v)
(*.f32 #s(literal 2 binary32) u)
(+.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))))
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 u v)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(/.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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)
(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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(/.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 #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 -24 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
#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 8 binary32)
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
#s(literal 16 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
#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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))
Outputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.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
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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v))) v)
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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v))
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)
(/.f32 (-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32))
(-.f32 (fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v))
(fma.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) u))
#s(literal 2 binary32)
u
(/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)
(*.f32 (/.f32 u v) (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
(*.f32 u (-.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal -2 binary32)))
#s(literal 4/3 binary32)
(/.f32 u v)
(*.f32 #s(literal 2 binary32) u)
(+.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(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32))) #s(literal 1 binary32))
#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)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32)))
(-.f32 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 2 binary32))
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))
(*.f32 u v)
(*.f32 v u)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v)))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(/.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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))) v)
(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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)))
(/.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)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32))) v)
(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)))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #s(literal 8 binary32)))
#s(literal -24 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
#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))))
(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 8 binary32)
(*.f32 #s(literal 16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))
#s(literal 16 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
#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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))

localize205.0ms (2.4%)

Memory
-24.0MiB live, 236.0MiB allocated; 94ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.6785126953688405
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy6.108792872623244
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy7.807201651594912
(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)))))
accuracy28.040013537083574
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
accuracy0.01953125
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
accuracy0.049160009768442016
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.05144501953688403
(+.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))))
accuracy29.73584021915614
#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)))
accuracy0.29296875
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))))
accuracy0.33984375
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
accuracy9.840889668420509
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))
accuracy29.976637267660887
#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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
accuracy4.104412393246311
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
accuracy0.04032003162065376
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.04408360241743066
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
accuracy0.046684705917839735
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
accuracy0.06707001953688403
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
Samples
125.0ms256×0valid
Compiler

Compiled 539 to 58 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-add: 41.0ms (38.9% of total)
ival-mult: 21.0ms (19.9% of total)
ival-div: 15.0ms (14.2% of total)
const: 7.0ms (6.6% of total)
ival-sub: 5.0ms (4.7% of total)
ival-expm1: 4.0ms (3.8% of total)
ival-log: 3.0ms (2.8% of total)
ival-pow: 3.0ms (2.8% of total)
ival-pow2: 3.0ms (2.8% of total)
ival-exp: 2.0ms (1.9% 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)

series37.0ms (0.4%)

Memory
-8.5MiB live, 37.5MiB allocated; 5ms collecting garbage
Counts
22 → 171
Calls
Call 1
Inputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) 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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) 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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
(+.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))))
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(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)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
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))))))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(* u (+ 2 (* 4/3 (/ 1 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 (* v (- (exp (/ 2 v)) 1))) 2)
(* u (* v (- (exp (/ 2 v)) 1)))
(* -8 u)
(* u (- (* 24 u) 8))
(* u (- (* u (+ 24 (* -16 u))) 8))
(* -2 u)
(* u (- (* 2 u) 2))
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1)
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1)
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1)
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
1
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(+ 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))))))))))
(+ (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 (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (- 1 (exp (/ -2 v))))
(* u (- (+ 1 (/ (exp (/ -2 v)) u)) (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)))))))))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* -16 (pow u 3))
(* (pow u 3) (- (* 24 (/ 1 u)) 16))
(* (pow u 3) (- (* 24 (/ 1 u)) (+ 16 (/ 8 (pow u 2)))))
(* 2 (pow u 2))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* 8/3 (/ (pow u 3) (pow v 2)))
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 1 (pow u 3)) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(+ 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)))))))
(+ (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 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (+ (* -1 (- 1 (exp (/ -2 v)))) (* -1 (/ (exp (/ -2 v)) u)))))
(* 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))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 v)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 v)) (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* 4/3 (/ u v))
(/ (+ (* 4/3 u) (* 2 (* u v))) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2)))
(/ (- (* -1 (* v (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2))
(/ (- (* v (- (* v (+ 1 (* -2 (- 1 u)))) (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2))
(- 1 (exp (/ -2 v)))
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(- (exp (/ 2 v)) 1)
(+ 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))))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
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(- (* 2 u) 2)
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(/ 2 v)
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(/ (- (+ 2 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v)
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) v)
(- 1 (* 2 (/ 1 v)))
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(/ (- (* 2 u) 2) v)
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(+ 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))))
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(* -1 (/ (- (* 2 (/ 1 v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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))
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(* -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
11.0ms
v
@0
((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 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)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3))
8.0ms
u
@0
((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 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)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3))
5.0ms
u
@inf
((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 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)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3))
4.0ms
u
@-inf
((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 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)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3))
3.0ms
v
@inf
((+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (+ (* (- 1 (exp (/ -2 v))) u) (exp (/ -2 v))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* 4/3 (/ u v)) (* 2 u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 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)))))) (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (* (* u v) (- (exp (/ 2 v)) 1)) (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (- 1 (exp (/ -2 v))) (exp (/ -2 v)) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (- (exp (/ 2 v)) 1) (pow (- 1 u) 3))

simplify147.0ms (1.7%)

Memory
0.2MiB live, 137.2MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07004288
123104002
084093707
Stop Event
iter limit
node limit
Counts
171 → 171
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)
(/ -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))))))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(* u (+ 2 (* 4/3 (/ 1 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 (* v (- (exp (/ 2 v)) 1))) 2)
(* u (* v (- (exp (/ 2 v)) 1)))
(* -8 u)
(* u (- (* 24 u) 8))
(* u (- (* u (+ 24 (* -16 u))) 8))
(* -2 u)
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(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1)
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1)
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(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
1
(+ 1 (* -3 u))
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(* u (+ 1 (* -1 (exp (/ -2 v)))))
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(+ (* -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))))))))
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(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (+ (* -1 (- 1 (exp (/ -2 v)))) (* -1 (/ (exp (/ -2 v)) u)))))
(* 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))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 v)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ 1 v)) (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* 4/3 (/ u v))
(/ (+ (* 4/3 u) (* 2 (* u v))) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2)))
(/ (- (* -1 (* v (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2))
(/ (- (* v (- (* v (+ 1 (* -2 (- 1 u)))) (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) (pow v 2))
(- 1 (exp (/ -2 v)))
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(- (exp (/ 2 v)) 1)
(+ 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))))))
(* -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 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))))))
(- (+ 1 (* 2 (/ u v))) (* 2 (/ 1 v)))
(- (+ 1 (+ (* -2 (/ u (pow v 2))) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))) (* 2 (/ 1 v)))
(- (+ 1 (+ (* -2 (/ u (pow v 2))) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(* 2 u)
(+ (* 4/3 (/ u v)) (* 2 u))
(* -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 u) 2)
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)
(+ (* 2 u) (* 2 (/ u v)))
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))) v))))
(- (+ 1 (+ (* -2 (- 1 u)) (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (pow v 2))))) (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (pow (- 1 u) 2) v))))
(/ 2 v)
(/ (- 2 (* 2 (/ 1 v))) v)
(/ (- (+ 2 (/ 4/3 (pow v 2))) (* 2 (/ 1 v))) v)
(/ (- (+ 2 (/ 4/3 (pow v 2))) (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3))))) 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)))))
(/ (- (* 2 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 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 (+ (* -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 u)) v)))
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) 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 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2)
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u))
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v))))
(* -1 (/ (- (* 2 (/ 1 v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) v)) 2) v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) 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 (/ (+ 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
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) 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))))) (*.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 -1/2 binary32) 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)))) (*.f32 (/.f32 (*.f32 (*.f32 v u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) #s(literal 1/3 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)))
(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 #s(literal -1/2 binary32) u) (/.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)))) (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 #s(literal 1/3 binary32) u) (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)) (*.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 -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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+ (exp (/ -2 v)) (* u (- 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)))
(* u (+ 2 (* 4/3 (/ 1 v))))
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) 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))))) (*.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 -1/2 binary32) 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)))) (*.f32 (/.f32 (*.f32 (*.f32 v u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal -6 binary32) v))) #s(literal 1/3 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 2 binary32))
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(* u (* v (- (exp (/ 2 v)) 1)))
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(* -8 u)
(*.f32 #s(literal -8 binary32) u)
(* u (- (* 24 u) 8))
(*.f32 (-.f32 (*.f32 #s(literal 24 binary32) u) #s(literal 8 binary32)) u)
(* u (- (* u (+ 24 (* -16 u))) 8))
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)
(* -2 u)
(*.f32 #s(literal -2 binary32) u)
(* u (- (* 2 u) 2))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v)))) (* 2 (/ 1 v)))) 1)
(-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))
(- (* u (- (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 4 (/ 1 v))))) (* 2 (/ 1 v)))) 1)
(-.f32 (*.f32 (-.f32 (fma.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))
(- (* u (- (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 4 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))))) (* 2 (/ 1 v)))) 1)
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* -3 u))
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32))
(+ 1 (* u (- (* 3 u) 3)))
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))
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(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (pow.f32 v #s(literal 3 binary32))))
(/ (- (* 2 u) 2) v)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u)) #s(literal 2 binary32)) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/.f32 (-.f32 (fma.f32 (/.f32 u v) (/.f32 #s(literal 4/3 binary32) v) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32)) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(/.f32 (-.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 u v) (/.f32 #s(literal 4/3 binary32) v) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u)))) #s(literal 2 binary32)) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/.f32 (+.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/.f32 (+.f32 (-.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2/3 binary32) (pow.f32 v #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) 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))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)) (neg.f32 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (-.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 (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 #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 v)) (*.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))))) (neg.f32 v))) (neg.f32 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 u)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v))
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) v))
(+ 1 (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u #s(literal 4/3 binary32)) 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)))
(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 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)))
(-.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) (neg.f32 v))) v))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v))) #s(literal 2 binary32))
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) #s(literal 2 binary32))
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u))
(fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u))
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (- (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* -1 (+ (* -2 (- 1 u)) (* 2 (pow (- 1 u) 2))))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32))) v))
(* -1 (/ (- (* 2 (/ 1 v)) 2) v))
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 v)) 2) 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 (/ (- (* -1 (/ (- (* 2/3 (/ 1 v)) 4/3) v)) 2) v)) 2) v))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (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))
(* -1 (/ (+ 2 (* -2 u)) v))
(/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 u v) u) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.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)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.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))
(* -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))

rewrite178.0ms (2.1%)

Memory
2.9MiB live, 192.2MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064487
0105487
1435484
23748484
08109467
Stop Event
iter limit
node limit
iter limit
Counts
22 → 272
Calls
Call 1
Inputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) 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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u))
(*.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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) 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 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))
(+.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))))
#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 (*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(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)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
Outputs
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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)))))) v))
(-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (neg.f32 v))))
(fma.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(fma.f32 v (*.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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))))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v))) (pow.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) v)))
(log.f32 #s(approx (+ u (* (- 1 u) (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)))))
#s(approx (+ u (* (- 1 u) (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))))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) 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)))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
(fma.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 3 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #s(literal 2 binary32)))))
(+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (*.f32 #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)) v)) #s(literal 2 binary32)) v))) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #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)) v)) #s(literal 2 binary32)) v))) v) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.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)) v)) #s(literal 2 binary32)) v)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #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)) v)) #s(literal 2 binary32)) v))) v) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.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)) v)) #s(literal 2 binary32)) v))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #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)) v)) #s(literal 2 binary32)) v))) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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)) v)) #s(literal 2 binary32)) v))) v))))
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(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(fma.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 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)))) v))) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.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 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #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 #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 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 #s(literal 1 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)))
(fma.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 (*.f32 (cosh.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 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.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))
#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)) v)) #s(literal 2 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)))
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32)))
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 3/2 binary32)))
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))

eval62.0ms (0.7%)

Memory
15.3MiB live, 105.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 26 420 to 2 883 computations (89.1% saved)

prune78.0ms (0.9%)

Memory
-22.3MiB live, 77.3MiB allocated; 8ms collecting garbage
Pruning

47 alts after pruning (40 fresh and 7 done)

PrunedKeptTotal
New44413457
Fresh62733
Picked235
Done044
Total45247499
Accuracy
99.9%
Counts
499 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
99.5%
(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))
99.6%
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
94.4%
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
99.2%
(/.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)))
99.4%
(+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32))))))
99.4%
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v))
99.5%
(+.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))
99.5%
(+.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)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
11.5%
(+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
11.9%
(+.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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
12.2%
(+.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 (/.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)))))
13.9%
(+.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 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) 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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
11.5%
(+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
12.0%
(+.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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #s(literal 2 binary32)) v)))))
12.0%
(+.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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
10.2%
(+.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 #s(literal 2 binary32) u) v)) u)))))
99.2%
(+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))))
10.7%
(+.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))))
12.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))))
14.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32))))
10.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
7.8%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.7%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
94.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))))
12.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
5.8%
#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)))
14.8%
#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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))
12.0%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
11.1%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
12.0%
#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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
7.8%
#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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
7.8%
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
12.0%
#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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 binary32)))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u))))
87.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 4 256 to 2 820 computations (33.7% saved)

simplify124.0ms (1.5%)

Memory
40.0MiB live, 125.6MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
cost-diff0
(*.f32 v u)
cost-diff0
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
cost-diff0
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
cost-diff0
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u)
cost-diff0
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
cost-diff2
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))
cost-diff0
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
cost-diff0
(*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u)
cost-diff0
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32))
cost-diff0
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075769
0116761
1190741
2412736
31269736
45385736
08038719
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(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)
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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32))
#s(literal 2 binary32)
u
#s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u)
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))
(fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32))
(/.f32 u v)
u
v
#s(literal -2 binary32)
#s(literal 2 binary32)
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
(+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
#s(literal -4 binary32)
#s(literal 4/3 binary32)
#s(literal 1 binary32)
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 v u)
v
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v)
(/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)
(-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))
#s(literal 4 binary32)
(/.f32 #s(literal 8 binary32) v)
#s(literal 8 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)
Outputs
(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 (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) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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) 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)
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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32))
#s(literal 2 binary32)
u
#s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u)
(*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)))
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32)))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))
(+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) v) #s(literal 2 binary32))
(fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32))
(/.f32 u v)
u
v
#s(literal -2 binary32)
#s(literal 2 binary32)
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
(+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
#s(literal -4 binary32)
#s(literal 4/3 binary32)
#s(literal 1 binary32)
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u)) #s(literal 1 binary32))
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u))
(*.f32 v u)
v
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(*.f32 (fma.f32 (/.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) (*.f32 #s(literal -1/2 binary32) u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v)
(*.f32 (/.f32 v #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)
(-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))
#s(literal 4 binary32)
(/.f32 #s(literal 8 binary32) v)
#s(literal 8 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)

localize206.0ms (2.5%)

Memory
-19.9MiB live, 172.6MiB allocated; 32ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)
accuracy6.135908556287195
(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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
accuracy6.565444021770455
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
accuracy7.402869378488998
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
accuracy0.006191259768442017
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
accuracy0.01953125
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
accuracy0.049160009768442016
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy6.543988347511703
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
accuracy0.078125
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
accuracy0.15480217429718596
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
accuracy6.565444021770455
#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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
accuracy7.305520721625366
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)))
accuracy0.01171875
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32))
accuracy0.0234375
(*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u)
accuracy6.565444021770455
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
accuracy7.714536260211834
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
accuracy0.0390625
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
accuracy0.04032003162065376
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.046684705917839735
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.06707001953688403
(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))
Samples
71.0ms68×0valid
69.0ms188×0exit
Compiler

Compiled 592 to 56 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-div: 61.0ms (50.9% of total)
ival-mult: 19.0ms (15.8% of total)
ival-add: 11.0ms (9.2% of total)
ival-exp: 7.0ms (5.8% of total)
ival-sub: 6.0ms (5% of total)
ival-log: 5.0ms (4.2% of total)
ival-expm1: 4.0ms (3.3% of total)
const: 3.0ms (2.5% of total)
ival-pow2: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-0.9MiB live, 49.5MiB allocated; 9ms collecting garbage
Counts
27 → 152
Calls
Call 1
Inputs
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u)
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)))
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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))))))
1
(+ 1 (* -1 u))
(- (* 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))))
(* v (- (exp (/ 2 v)) 1))
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))
(* u v)
4/3
(+ 4/3 (* -4 u))
(/ (+ 2 (* 4/3 (/ 1 v))) v)
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow 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))))))))))
(+ (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 (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1/2 (/ (* (pow u 2) (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* (pow u 2) (- (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)) (/ 1 (pow u 2))))
(* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))
(* u (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u)))
(* -4 u)
(* u (- (* 4/3 (/ 1 u)) 4))
(* -4 (/ u (pow v 2)))
(* u (- (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))) (* 4 (/ 1 (pow v 2)))))
(+ 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)))))))
(+ (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 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- 1 (/ 1 u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))))
(* -1 (* u (+ (* -1 (/ (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u))))
(* -1 (* u (- 4 (* 4/3 (/ 1 u)))))
(* -1 (* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2)))) u)) (* 4 (/ 1 (pow v 2))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1)
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)))
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))
(/ (+ 4/3 (* -4 u)) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (* -2 u))))) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* 2 v))) (pow v 2))
(- (exp (/ 2 v)) 1)
(exp (/ -4 v))
(/ -8 (pow v 2))
(/ (- (* 4 v) 8) (pow v 2))
(+ 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))))))
(* -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 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 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
(+ 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 (+ (* -4 (/ u (pow v 2))) (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))))
(- (+ (* 2 u) (* 2 (/ u v))) 1)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1)
(+ (* 2 u) (* 2 (/ u v)))
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u 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)))))
(/ 2 v)
(/ (+ 2 (+ (* -4 (/ u v)) (* 4/3 (/ 1 v)))) 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)))))
(/ 4 v)
(/ (- 4 (* 8 (/ 1 v))) 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))))
(* -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))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) 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))
(+ 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)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v)))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1)
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u))
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) 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 (/ (- 4 (* 8 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* 8 (/ 1 v)) 4) v))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
v
@0
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v))
9.0ms
u
@-inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v))
5.0ms
u
@inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v))
4.0ms
u
@0
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v))
3.0ms
v
@-inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 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) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 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) (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (* (* v u) (- (exp (/ 2 v)) 1)) (* v u) (+ (* (* 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)) (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+ (* -4 u) 4/3) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v) (- (exp (/ 2 v)) 1) (exp (/ -4 v)) (/ (- 4 (/ 8 v)) v))

simplify173.0ms (2.1%)

Memory
15.0MiB live, 236.7MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06503574
121553298
084722982
Stop Event
iter limit
node limit
Counts
152 → 152
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)
(/ -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))))))
1
(+ 1 (* -1 u))
(- (* 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))))
(* v (- (exp (/ 2 v)) 1))
(+ (* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))
(* u v)
4/3
(+ 4/3 (* -4 u))
(/ (+ 2 (* 4/3 (/ 1 v))) v)
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow 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))))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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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))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1/2 (/ (* (pow u 2) (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* (pow u 2) (- (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)) (/ 1 (pow u 2))))
(* -1/2 (/ (* u (* v (pow (- (exp (/ -2 v)) 1) 2))) (exp (/ -4 v))))
(* u (+ (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))
(* u (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))))
(* u (- (* v (- (exp (/ 2 v)) 1)) (/ 1 u)))
(* -4 u)
(* u (- (* 4/3 (/ 1 u)) 4))
(* -4 (/ u (pow v 2)))
(* u (- (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v))) (* 4 (/ 1 (pow v 2)))))
(+ 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)))))))
(+ (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 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- 1 (/ 1 u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v)))))))
(* -1 (* u (+ (* -1 (/ (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u))))
(* -1 (* u (- 4 (* 4/3 (/ 1 u)))))
(* -1 (* u (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 2)))) u)) (* 4 (/ 1 (pow v 2))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))) 1)
(* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1)))
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- (exp (/ -2 v)) 1) 2)) (exp (/ -4 v))))) 1))
(/ (+ 4/3 (* -4 u)) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (* -2 u))))) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 2))
(/ (+ 4/3 (+ (* -4 u) (* 2 v))) (pow v 2))
(- (exp (/ 2 v)) 1)
(exp (/ -4 v))
(/ -8 (pow v 2))
(/ (- (* 4 v) 8) (pow v 2))
(+ 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))))))
(* -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 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 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
(+ 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 (+ (* -4 (/ u (pow v 2))) (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))))
(- (+ (* 2 u) (* 2 (/ u v))) 1)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 1)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 1)
(+ (* 2 u) (* 2 (/ u v)))
(+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))
(+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u 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)))))
(/ 2 v)
(/ (+ 2 (+ (* -4 (/ u v)) (* 4/3 (/ 1 v)))) 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)))))
(/ 4 v)
(/ (- 4 (* 8 (/ 1 v))) 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))))
(* -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 (/ (* 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))
(+ 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)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v)))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1)
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u))
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) 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 (/ (- 4 (* 8 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
(* -1 (/ (- (* 8 (/ 1 v)) 4) v))
Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(-.f32 (*.f32 (*.f32 v u) (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 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 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 #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 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (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)))
(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 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (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)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (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)) (*.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 -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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(- (* u (* v (- (exp (/ 2 v)) 1))) 1)
(-.f32 (*.f32 (*.f32 v u) (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 (*.f32 v u) (/.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 v u) (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 (*.f32 v u) (/.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))
(*.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 (*.f32 v u) (/.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))
(+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32))
(+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))
(fma.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)))
(* u v)
(*.f32 v u)
4/3
#s(literal 4/3 binary32)
(+ 4/3 (* -4 u))
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
(/ (+ 2 (* 4/3 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)
(+ (* -4 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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))))))))
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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)))))))))
(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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) 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 1/3 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal -6 binary32) v)) (pow.f32 (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (/.f32 (/.f32 v u) u)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+.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))))))))
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(+ 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)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* -4 u)) v)) (* 2 u)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 1)
(-.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 1 binary32))
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 1)
(-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v))) #s(literal 1 binary32))
(+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u))
(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)))
(+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u))
(fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) 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))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* -4 u)) v)) 2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.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))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))
(+ 1 (* -1 (/ (- 4 (* 8 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 32/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v))
(* -1 (/ (- (* 8 (/ 1 v)) 4) v))
(/.f32 (-.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) (neg.f32 v))

rewrite242.0ms (2.9%)

Memory
22.4MiB live, 258.4MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075624
0116616
1445596
23198596
010240584
Stop Event
iter limit
node limit
iter limit
Counts
27 → 462
Calls
Call 1
Inputs
(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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #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)) #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)) #s(literal 2 binary32))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u)
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))
(*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) 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)) #s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)))
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)
Outputs
(/.f32 (fma.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 3 binary32)) (+.f32 (-.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))) (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) (log.f32 (pow.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))) (*.f32 (+.f32 (-.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))) (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 #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))) (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 #s(literal 1 binary32) (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)) (*.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #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 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32))))
(/.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) (neg.f32 v))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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)) (log.f32 (pow.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))))))
(/.f32 (neg.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))) (neg.f32 (-.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 (neg.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)))) (neg.f32 (-.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 (neg.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 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.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))) (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 (neg.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 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32))))
(/.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)))
(/.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) (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) v))))
(/.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 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.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))) (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 (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)) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) 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)) #s(literal 1 binary32)))
(-.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)) (-.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 #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 #s(literal 1 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 (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 #s(literal 1 binary32) (*.f32 (neg.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) (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 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #s(literal 1 binary32))) v #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(fma.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) #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)) (*.f32 v #s(literal 1 binary32)) #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))
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(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v v) (*.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (neg.f32 v) (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)))) (*.f32 v v))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (neg.f32 v) v) (*.f32 (neg.f32 v) (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))))) (*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v)))
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (neg.f32 v) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v v) (*.f32 (neg.f32 v) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (pow.f32 (neg.f32 v) #s(literal 3 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 3 binary32)) (/.f32 #s(literal 8 binary32) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v (*.f32 v #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (neg.f32 v) (*.f32 v #s(literal -2 binary32))) (*.f32 v (neg.f32 v)))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 3 binary32)) #s(literal 8 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v)
(+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v) (/.f32 #s(literal 2 binary32) v))
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) v))
(neg.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32))) v))
(neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) (neg.f32 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)))
#s(approx (exp (/ -4 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))
(*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v))
(/.f32 (-.f32 #s(literal -4 binary32) (neg.f32 (/.f32 #s(literal 8 binary32) v))) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)))) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) v)
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v)))
(/.f32 (-.f32 (/.f32 #s(literal 64 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 8 binary32) v) v) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)))) (neg.f32 (neg.f32 v)))
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) v) (*.f32 v (/.f32 #s(literal 8 binary32) v))) (*.f32 v v))
(/.f32 (-.f32 #s(literal 16 binary32) (pow.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 2 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
(/.f32 (-.f32 #s(literal 64 binary32) (pow.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 3 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 8 binary32) v) (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) #s(literal 16 binary32)) v))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)
(-.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (/.f32 #s(literal 8 binary32) v) v))
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v))) v))
(neg.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) (neg.f32 v)))

eval120.0ms (1.4%)

Memory
4.0MiB live, 156.8MiB allocated; 42ms collecting garbage
Compiler

Compiled 44 582 to 3 880 computations (91.3% saved)

prune75.0ms (0.9%)

Memory
-33.9MiB live, 114.0MiB allocated; 17ms collecting garbage
Pruning

51 alts after pruning (41 fresh and 10 done)

PrunedKeptTotal
New61214626
Fresh82735
Picked235
Done077
Total62251673
Accuracy
99.9%
Counts
673 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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))
99.4%
(fma.f32 (-.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 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)))) v #s(literal 1 binary32))
99.5%
(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))
96.1%
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
99.6%
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
99.2%
(/.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)))
99.4%
(+.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 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32))))))
99.4%
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (*.f32 u u)))) v))
99.5%
(+.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))
99.5%
(+.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)))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (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)))))))
11.5%
(+.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 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v) #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))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
11.5%
(+.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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
12.0%
(+.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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #s(literal 2 binary32)) v)))))
12.0%
(+.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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
10.2%
(+.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 #s(literal 2 binary32) u) v)) u)))))
99.2%
(+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 v)))))
10.7%
(+.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))))
12.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 v)))) #s(literal 2 binary32))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 2 binary32))))
14.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 binary32))))
10.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
7.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.7%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32)))
11.6%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 v)))) #s(literal 1 binary32)))
14.6%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
10.7%
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
94.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))))
12.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal 32/3 binary32) v)) v)) v)))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u) #s(literal 1 binary32)))
11.2%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) v)) u) #s(literal 1 binary32)))
12.0%
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) v)) v)))) v) (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4/3 binary32) v)) (neg.f32 v)) #s(literal 2 binary32)) (neg.f32 v))) v)) u) #s(literal 1 binary32)))
5.8%
#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)))
14.8%
#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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))
12.0%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
11.1%
#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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
12.4%
#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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
7.8%
#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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #s(literal 2 binary32))) u) #s(literal 1 binary32)))
12.0%
#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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
12.1%
#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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)))) u) #s(literal 1 binary32)))
7.8%
#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)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
11.1%
#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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 binary32))))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (*.f32 (fma.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))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))) (*.f32 u u))))
87.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 6 241 to 2 290 computations (63.3% saved)

regimes86.0ms (1%)

Memory
16.5MiB live, 106.2MiB allocated; 12ms collecting garbage
Counts
81 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #s(literal -2 binary32) v)))))
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(+.f32 #s(literal 1 binary32) (+.f32 (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32)))) (log.f32 (pow.f32 #s(approx (+ u (* (- 1 u) (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)))) (/.f32 v #s(literal 2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u u)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 3 binary32)) (pow.f32 (/.f32 (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))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 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))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (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))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 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 (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))))))))))
Outputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
Calls

4 calls:

24.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
24.0ms
u
18.0ms
v
16.0ms
(+.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
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.6%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)))))))
99.6%1u
99.6%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes67.0ms (0.8%)

Memory
8.0MiB live, 108.5MiB allocated; 16ms collecting garbage
Counts
60 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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))
(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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(fma.f32 (log.f32 (+.f32 (*.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 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (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 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (neg.f32 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)))))))
Calls

4 calls:

18.0ms
v
18.0ms
(+.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)))))))
14.0ms
u
14.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.5%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)))))))
99.5%1u
99.5%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes57.0ms (0.7%)

Memory
1.1MiB live, 94.1MiB allocated; 4ms collecting garbage
Counts
56 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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))
(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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
Calls

4 calls:

15.0ms
v
13.0ms
u
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
(+.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
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.5%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)))))))
99.5%1u
99.5%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes57.0ms (0.7%)

Memory
-33.3MiB live, 64.8MiB allocated; 6ms collecting garbage
Counts
55 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.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))
(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) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
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:

16.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
13.0ms
v
13.0ms
u
11.0ms
(+.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
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
99.5%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)))))))
99.5%1u
99.5%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes51.0ms (0.6%)

Memory
-1.8MiB live, 44.7MiB allocated; 2ms collecting garbage
Counts
52 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Calls

4 calls:

14.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
12.0ms
u
12.0ms
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
96.1%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
96.1%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)))))))
96.1%1u
96.1%1v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes52.0ms (0.6%)

Memory
29.7MiB live, 72.8MiB allocated; 6ms collecting garbage
Counts
50 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
Outputs
#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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32)))))
Calls

4 calls:

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)))))))
12.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
11.0ms
u
11.0ms
v
Results
AccuracySegmentsBranch
91.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.9%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)))))))
87.2%1u
91.9%2v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes46.0ms (0.6%)

Memory
-0.3MiB live, 43.2MiB allocated; 4ms collecting garbage
Counts
49 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.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) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u (neg.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (/.f32 u v)))) (neg.f32 v))) (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 4 binary32) v))) (/.f32 #s(literal 2 binary32) v)) u) #s(literal 1 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) u (/.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) v)) (*.f32 v v)) (/.f32 (+.f32 (+.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) u)) v)) #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 (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 (*.f32 (*.f32 v u) (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))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) #s(approx (- (* (* v u) (- (exp (/ 2 v)) 1)) 1) (*.f32 (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (/.f32 #s(literal 1 binary32) u)) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (- (* (* u v) (- (exp (/ 2 v)) 1)) 2) (*.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (/.f32 #s(literal -2 binary32) u)) u))))
(+.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)))
(+.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 (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (/.f32 #s(literal 2 binary32) u) v)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 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))) (-.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) #s(approx (exp (/ -2 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 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))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u) #s(literal 8 binary32)) u)) 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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v)))
Outputs
#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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32)))))
Calls

3 calls:

21.0ms
(+.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)))))))
11.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
11.0ms
v
Results
AccuracySegmentsBranch
91.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.9%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)))))))
91.9%2v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes23.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
Outputs
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #s(literal 1 binary32)))
Calls

3 calls:

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
(+.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
91.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.9%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)))))))
91.9%2v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes26.0ms (0.3%)

Memory
-38.8MiB live, 22.5MiB allocated; 8ms collecting garbage
Counts
29 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) (neg.f32 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 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))) 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 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v) (*.f32 #s(literal 2 binary32) u))) #s(literal 1 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 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (- (+ (* -2 (- 1 u)) 1) (/ (+ (* (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v) 1/6) (+ (* (pow (- 1 u) 2) 2) (* -2 (- 1 u)))) v)) (-.f32 (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -4 binary32) v)) (/.f32 #s(literal 2 binary32) v)) 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 #s(approx (+ (* 4/3 (/ u v)) (* 2 u)) (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)) v)) #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)) (+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #s(literal 2 binary32)) v))) 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 #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 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 (fma.f32 #s(literal 2 binary32) u (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) #s(literal 2 binary32)) v)))))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (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 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (fma.f32 #s(literal 2 binary32) u (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) (neg.f32 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 (+.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)) v)) u (/.f32 #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) (*.f32 v v))) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

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

Compiled 29 to 25 computations (13.8% saved)

regimes11.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
13 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #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 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #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))))))) #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
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)

regimes10.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
11 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))
Outputs
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32)))
Calls

3 calls:

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
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
91.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
91.2%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)))))))
91.2%2v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes30.0ms (0.4%)

Memory
-28.5MiB live, 15.7MiB allocated; 5ms collecting garbage
Counts
10 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 #s(approx (* (* u v) (- (exp (/ 2 v)) 1)) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 u v) u))) #s(literal 2 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) u #s(literal -2 binary32)) v)))))
(+.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)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32)))
Calls

3 calls:

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
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
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)))))))
91.1%2v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
6 → 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 (+ 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)) #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 (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
Outputs
#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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #s(literal 1 binary32)))
Calls

3 calls:

2.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
2.0ms
v
2.0ms
(+.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
90.6%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
90.6%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)))))))
90.6%2v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes4.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
2 → 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))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 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
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
87.2%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
87.2%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)))))))
87.2%1v
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB 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
6.1%1u
6.1%1v
6.1%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
6.1%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)))))))
Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.018206577748060226
0.16978955268859863
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch5.0ms (0.1%)

Memory
-41.5MiB live, 1.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.018206577748060226
0.16978955268859863
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.018206577748060226
0.16978955268859863
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09010434150695801
0.12505120038986206
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09010434150695801
0.12505120038986206
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.16978955268859863
0.1833341270685196
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.16978955268859863
0.1833341270685196
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.16978955268859863
0.1833341270685196
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify82.0ms (1%)

Memory
21.3MiB live, 65.8MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0172882
1268868
2499863
31214863
44484863
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(+.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 (+.f32 (*.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 (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 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal -1/2 binary32) #s(literal 2/3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (*.f32 u (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) #s(literal 1 binary32))))))
(if (<=.f32 v #s(literal 5368709/268435456 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(approx (- (* (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) u) 1) (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u (/.f32 (fma.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) v) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u)) (neg.f32 v))) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 1 binary32))))))
(if (<=.f32 v #s(literal 5368709/268435456 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (fma.f32 #s(literal -4 binary32) u (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 28/3 binary32) u) (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32)) #s(literal 2/3 binary32)) (neg.f32 v))) #s(literal 4/3 binary32)) (neg.f32 v)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v))) u) #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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 u v) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) 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 -13421773/268435456 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)) #s(approx (+ (+ (* (/ u v) -2) 2) (/ (+ (/ (+ (* -4 u) 4/3) v) 2) v)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #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))))))) #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u) #s(literal 1 binary32))))
(if (<=.f32 v #s(literal 3019899/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ (* (log (+ u (* (- 1 u) (exp (/ -2 v))))) v) 1) (-.f32 #s(approx (* (* v u) (- (exp (/ 2 v)) 1)) (*.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 v #s(literal 3019899/16777216 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))))))) (-.f32 (*.f32 #s(approx (+ (* (* u -1/2) (* (/ (pow (- (exp (/ -2 v)) 1) 2) (exp (/ -4 v))) v)) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u) #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 (log.f32 #s(approx (+ u (* (- 1 u) (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))))) v #s(literal 1 binary32))
(+.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 (+.f32 (*.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 (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 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
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derivations1.3s (15.1%)

Memory
-21.1MiB live, 739.8MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07004288
123104002
084093707
048377
080368
1312364
22136364
08892355
06144057
120183757
278013681
083143285
03372667
110902450
244822387
082932134
06503574
121553298
084722982
075624
0116616
1445596
23198596
010240584
01253
02053
17453
248853
3526853
0831248
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 881 to 179 computations (79.7% saved)

preprocess106.0ms (1.3%)

Memory
-19.7MiB live, 122.2MiB allocated; 22ms collecting garbage
Compiler

Compiled 1 792 to 382 computations (78.7% saved)

end0.0ms (0%)

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

Profiling

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