Harley's example

Time bar (total: 52.7s)

analyze763.0ms (1.4%)

Memory
9.9MiB live, 495.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
0%0%25%75%0%0%0%2
0%0%25%75%0%0%0%3
0%0%25%75%0%0%0%4
0%0%25%75%0%0%0%5
0%0%21.8%75%0%3.1%0%6
0%0%18.7%75%0%6.2%0%7
19%3.1%13.3%75%0%8.6%0%8
19%3.1%13.3%75%0%8.6%0%9
21.6%3.1%11.3%75%0%10.5%0%10
24.6%3.1%9.6%75%0%12.3%0%11
35.6%3.1%5.7%75%0%16.2%0%12
Compiler

Compiled 51 to 27 computations (47.1% saved)

sample41.3s (78.4%)

Memory
125.4MiB live, 43 609.0MiB allocated
Samples
29.7s7 666×5exit
4.7s24 286×0exit
1.9s8 072×0valid
191.0ms13×4valid
75.0ms137×1valid
64.0ms16×3valid
14.0ms34×1exit
13.0ms18×2valid
1.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 34.2s
ival-pow: 25.9s (75.8% of total)
adjust: 2.0s (5.9% of total)
ival-div: 1.8s (5.2% of total)
ival-exp: 1.3s (3.9% of total)
ival-add: 737.0ms (2.2% of total)
ival-sub: 729.0ms (2.1% of total)
ival-mult: 702.0ms (2.1% of total)
ival-neg: 592.0ms (1.7% of total)
ival-<: 231.0ms (0.7% of total)
exact: 74.0ms (0.2% of total)
ival-and: 62.0ms (0.2% of total)
ival-assert: 17.0ms (0% of total)
Bogosity

preprocess102.0ms (0.2%)

Memory
15.8MiB live, 60.3MiB allocated
Algorithm
egg-herbie
Rules
594×sub-neg
524×div-sub
496×associate-/r*
464×times-frac
418×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093606
1250606
2673606
31430606
42139606
52759606
63172606
73532606
84111606
94200606
104216606
114216606
02243
03943
16543
210343
314143
418743
523643
629143
733943
835543
936543
1036943
036943
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Outputs
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

explain528.0ms (1%)

Memory
8.2MiB live, 560.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
70-0-(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
72(413.8643356972875 1.2984083493402136e-73 9.232814937239827e-134 4.10246428169118e-239)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
11(413.8643356972875 1.2984083493402136e-73 9.232814937239827e-134 4.10246428169118e-239)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
16(1.311658024414245e-182 3.243929560359452e+170 -567859.738827539 -2.5823930228725303e-257)0-(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
00-0-(neg.f64 s)
00-0-#s(literal 1 binary64)
00-0-t
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
00-0-s
00-0-(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
00-0-(neg.f64 t)
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
00-0-c_p
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
01(6.596720993551394e-112 4.535072569474452e-229 -308.722049903399 -9.536197437904561e-5)0-(exp.f64 (neg.f64 t))
00-0-(exp.f64 (neg.f64 s))
00-0-c_n
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
00-0-(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
01(3.204911016570626e-176 345.82806382351515 -4.154584033300526e-117 1.3512695782404607e-227)0-(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))u/u70
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)underflow8
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))underflow20
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))underflow10
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))underflow6
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)underflow12
(exp.f64 (neg.f64 s))underflow12
(exp.f64 (neg.f64 t))underflow2
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow14
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)underflow3
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))underflow7
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))underflow1
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)underflow4
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)uflow-rescue70
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)underflow4
(exp.f64 (neg.f64 t))underflow1
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow7
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)sensitivity60
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)sensitivity22
exp.f64(exp.f64 (neg.f64 t))sensitivity10
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)sensitivity10
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)sensitivity12
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)uflow-rescue10
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)underflow3
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))underflow1
(exp.f64 (neg.f64 t))underflow1
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow7
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)uflow-rescue10
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)underflow8
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))underflow5
(exp.f64 (neg.f64 s))underflow6
Confusion
Predicted +Predicted -
+160
-3237
Precision
0.8421052631578947
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1600
-32235
Precision?
0.7619047619047619
Recall?
1.0
Freqs
test
numberfreq
0237
111
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms490×0valid
5.0ms10×2valid
4.0ms3valid
4.0ms1valid
Compiler

Compiled 462 to 92 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 22.0ms (32.4% of total)
ival-div: 13.0ms (19.2% of total)
ival-exp: 8.0ms (11.8% of total)
ival-add: 7.0ms (10.3% of total)
ival-mult: 6.0ms (8.8% of total)
ival-neg: 5.0ms (7.4% of total)
ival-sub: 5.0ms (7.4% of total)
adjust: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Compiler

Compiled 47 to 22 computations (53.2% saved)

simplify46.0ms (0.1%)

Memory
-20.6MiB live, 17.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
cost-diff0
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Rules
136×lower-*.f32
132×lower-*.f64
128×lower-fma.f64
128×lower-fma.f32
128×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022182
039182
165182
2103182
3141182
4187182
5236182
6291182
7339182
8355182
9365182
10369182
0369182
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
Outputs
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))

localize129.0ms (0.2%)

Memory
-2.7MiB live, 116.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy99.6%
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy97.4%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy97.3%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Samples
38.0ms245×0valid
20.0ms2valid
2.0ms3valid
2.0ms1valid
Compiler

Compiled 184 to 24 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-pow: 11.0ms (35.3% of total)
ival-div: 5.0ms (16% of total)
ival-exp: 4.0ms (12.8% of total)
ival-add: 3.0ms (9.6% of total)
ival-mult: 3.0ms (9.6% of total)
ival-neg: 2.0ms (6.4% of total)
ival-sub: 2.0ms (6.4% of total)
adjust: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series586.0ms (1.1%)

Memory
28.4MiB live, 445.9MiB allocated
Counts
6 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)>
#<alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
Outputs
#<alt (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (+ (* c_n (- (+ (* c_n (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (+ (* c_n (- (+ (* c_n (- (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* c_n (- (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))>
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#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))>
#<alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))>
#<alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))>
#<alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
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#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow 1/2 c_n)>
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#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
Calls

42 calls:

TimeVariablePointExpression
208.0ms
s
@inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
157.0ms
t
@inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
58.0ms
s
@-inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
56.0ms
c_n
@inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
48.0ms
t
@-inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

rewrite368.0ms (0.7%)

Memory
-16.5MiB live, 445.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 536×lower-*.f32
4 532×lower-*.f64
3 976×lower-fma.f64
3 976×lower-fma.f32
3 722×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022100
039100
1151100
2102295
0861283
Stop Event
iter limit
node limit
iter limit
Counts
6 → 342
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)))))
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))))
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(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)) c_n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n))
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(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))

simplify446.0ms (0.8%)

Memory
20.7MiB live, 684.6MiB allocated
Algorithm
egg-herbie
Rules
14 240×lower-fma.f64
14 240×lower-fma.f32
6 988×lower-*.f64
6 988×lower-*.f32
5 212×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04217043
113316458
249055915
089385594
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* -1 (/ (* t (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* -1 (* t (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(* (pow 1/2 c_n) (pow 1/2 c_p))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
Outputs
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)))
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(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(fma.f64 (fma.f64 s (*.f64 #s(literal 1/2 binary64) c_p) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (*.f64 (*.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64))) (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 c_p) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(fma.f64 c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))
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(fma.f64 c_p (fma.f64 c_p (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_p #s(literal 1/6 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1/2 binary64))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(fma.f64 s #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(fma.f64 s (fma.f64 s (*.f64 s #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(fma.f64 s (fma.f64 s (*.f64 s (fma.f64 (*.f64 s s) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) (fma.f64 t (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) (fma.f64 t (*.f64 (*.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64))) (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(fma.f64 c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(fma.f64 c_p (fma.f64 c_p (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_p #s(literal 1/6 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1/2 binary64))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c_n t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) t) (fma.f64 t (*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 c_n #s(literal -1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c_n t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n) (*.f64 t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) t) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (*.f64 t (*.f64 (*.f64 c_n c_n) (fma.f64 c_n #s(literal -1/48 binary64) #s(literal 1/16 binary64))))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(fma.f64 c_n (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(fma.f64 c_n (fma.f64 c_n (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_n #s(literal 1/6 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)

eval86.0ms (0.2%)

Memory
-9.3MiB live, 184.2MiB allocated
Compiler

Compiled 30 504 to 1 640 computations (94.6% saved)

prune143.0ms (0.3%)

Memory
-5.1MiB live, 157.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5565561
Fresh000
Picked101
Done000
Total5575562
Accuracy
100.0%
Counts
562 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
96.9%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
92.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
94.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
96.5%
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
Compiler

Compiled 326 to 202 computations (38% saved)

simplify345.0ms (0.7%)

Memory
-10.3MiB live, 356.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
cost-diff0
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
cost-diff256
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
cost-diff17664
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
cost-diff320
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff6464
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
cost-diff320
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff6720
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff6720
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
cost-diff6464
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
Rules
6 566×lower-fma.f32
6 564×lower-fma.f64
1 898×lower-*.f32
1 890×lower-*.f64
1 640×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046662
088654
1141651
2229648
3397633
4760596
51300594
62298594
73469594
84568594
95357594
106278594
116976594
127280594
137456594
147985594
08105569
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
c_p
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))
#s(literal -1 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
Outputs
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))
c_p
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))
#s(literal -1 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))

localize487.0ms (0.9%)

Memory
37.9MiB live, 623.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy99.2%
(log1p.f64 (exp.f64 (neg.f64 t)))
accuracy17.4%
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
accuracy17.4%
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy99.6%
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy99.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy99.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy98.9%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy99.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy98.9%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy99.2%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
Samples
261.0ms203×1valid
22.0ms11×2valid
17.0ms4exit
11.0ms27×0valid
5.0ms1exit
3.0ms3valid
Compiler

Compiled 706 to 49 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 260.0ms
adjust: 49.0ms (18.8% of total)
ival-log1p: 49.0ms (18.8% of total)
ival-exp: 43.0ms (16.5% of total)
ival-div: 35.0ms (13.5% of total)
ival-pow: 35.0ms (13.5% of total)
ival-add: 15.0ms (5.8% of total)
ival-mult: 14.0ms (5.4% of total)
ival-sub: 11.0ms (4.2% of total)
ival-neg: 9.0ms (3.5% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series398.0ms (0.8%)

Memory
-9.5MiB live, 604.2MiB allocated
Counts
22 → 588
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))>
#<alt (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))>
#<alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))>
#<alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))>
#<alt (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))>
#<alt (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))>
#<alt (log1p.f64 (exp.f64 (neg.f64 t)))>
#<alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))>
Outputs
#<alt (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
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#<alt (- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (neg s)))))>
#<alt (* -1 (log (+ 1 (exp (neg s)))))>
#<alt (* -1 (log (+ 1 (exp (neg s)))))>
#<alt (* -1 (log (+ 1 (exp (neg s)))))>
#<alt (* -1 (log (+ 1 (exp (* -1 s)))))>
#<alt (* -1 (log (+ 1 (exp (* -1 s)))))>
#<alt (* -1 (log (+ 1 (exp (* -1 s)))))>
#<alt (* -1 (log (+ 1 (exp (* -1 s)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 t))>
#<alt (+ (log 2) (* t (- (* 1/8 t) 1/2)))>
#<alt (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 t))>
#<alt (+ (log 1/2) (* t (- (* -1/8 t) 1/2)))>
#<alt (+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
Calls

147 calls:

TimeVariablePointExpression
211.0ms
t
@-inf
(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
44.0ms
t
@inf
(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
37.0ms
s
@inf
(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
20.0ms
s
@-inf
(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
6.0ms
c_n
@0
(+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))

rewrite440.0ms (0.8%)

Memory
-9.6MiB live, 466.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 166×lower-*.f32
3 158×lower-*.f64
3 038×lower-/.f32
3 022×lower-/.f64
1 980×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046339
088322
1354306
22566290
08777289
Stop Event
iter limit
node limit
iter limit
Counts
22 → 765
Calls
Call 1
Inputs
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
Outputs
(exp.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 c_n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (*.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (+.f64 (neg.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))))
(exp.f64 (neg.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))))
(neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
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(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(+.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))))
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(-.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)))) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))

simplify611.0ms (1.2%)

Memory
45.6MiB live, 939.5MiB allocated
Algorithm
egg-herbie
Rules
14 354×lower-fma.f64
14 354×lower-fma.f32
8 974×lower-*.f64
8 974×lower-*.f32
6 154×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099217881
1302417415
0904615545
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
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(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
1
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(pow 1/2 c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
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1/2
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-1/2
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(/ -1 (+ 1 (exp (neg s))))
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(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
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(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))
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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)))))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)))))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)))))
(* -1 (log 2))
(- (* 1/2 s) (log 2))
(- (* s (+ 1/2 (* -1/8 s))) (log 2))
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2))
(* -1 (log (+ 1 (exp (neg s)))))
(* -1 (log (+ 1 (exp (neg s)))))
(* -1 (log (+ 1 (exp (neg s)))))
(* -1 (log (+ 1 (exp (neg s)))))
(* -1 (log (+ 1 (exp (* -1 s)))))
(* -1 (log (+ 1 (exp (* -1 s)))))
(* -1 (log (+ 1 (exp (* -1 s)))))
(* -1 (log (+ 1 (exp (* -1 s)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(log 2)
(+ (log 2) (* -1/2 t))
(+ (log 2) (* t (- (* 1/8 t) 1/2)))
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log 1/2)
(+ (log 1/2) (* -1/2 t))
(+ (log 1/2) (* t (- (* -1/8 t) 1/2)))
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
Outputs
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(fma.f64 c_n (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(fma.f64 s (fma.f64 c_n (*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s) (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(fma.f64 s (fma.f64 s (fma.f64 s (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 c_n (*.f64 (*.f64 c_n c_n) #s(literal -1/48 binary64)) (*.f64 (*.f64 c_n c_n) #s(literal 1/16 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
1
#s(literal 1 binary64)
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))))
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
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(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(fma.f64 t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(fma.f64 t (fma.f64 t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n (*.f64 (*.f64 c_n c_n) #s(literal -1/48 binary64)) (*.f64 (*.f64 c_n c_n) #s(literal 1/16 binary64))) (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))))) (*.f64 #s(literal -1/2 binary64) (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) (*.f64 c_n (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(fma.f64 c_n (fma.f64 c_n (fma.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 3 binary64)) (*.f64 c_n #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (fma.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (fma.f64 s (fma.f64 s (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))
(-.f64 (fma.f64 #s(literal 1/2 binary64) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))
(-.f64 (fma.f64 t (fma.f64 t #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))
(-.f64 (fma.f64 t (fma.f64 t (fma.f64 #s(literal -1/192 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1/2 t))
(fma.f64 t #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* t (- (* 1/8 t) 1/2)))
(fma.f64 t (fma.f64 t #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))
(fma.f64 t (fma.f64 t (fma.f64 #s(literal -1/192 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp (neg t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (neg t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (neg t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (neg t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (* -1 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (* -1 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (* -1 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log (+ 1 (exp (* -1 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (log 1/2) (* -1/2 t))
(fma.f64 t #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* t (- (* -1/8 t) 1/2)))
(fma.f64 t (fma.f64 t #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))
(fma.f64 t (fma.f64 t (fma.f64 t (*.f64 t #s(literal 1/192 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))

eval565.0ms (1.1%)

Memory
-272.0MiB live, 532.2MiB allocated
Compiler

Compiled 70 953 to 3 728 computations (94.7% saved)

prune232.0ms (0.4%)

Memory
6.1MiB live, 447.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1 77471 781
Fresh000
Picked505
Done000
Total1 77971 786
Accuracy
100.0%
Counts
1 786 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
91.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
94.9%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
95.4%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
91.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
99.2%
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
94.0%
#s(literal 1 binary64)
Compiler

Compiled 256 to 194 computations (24.2% saved)

simplify326.0ms (0.6%)

Memory
21.7MiB live, 602.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
cost-diff0
(exp.f64 (neg.f64 s))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff576
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff0
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
cost-diff0
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
cost-diff320
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))
cost-diff12160
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
Rules
7 792×lower-fma.f32
7 786×lower-fma.f64
2 832×lower-+.f32
2 824×lower-+.f64
2 442×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036280
066280
1103280
2178280
3371280
4825278
52110277
65090276
77755276
08019273
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))
c_p
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 (neg.f64 s)))
(*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))
t
(fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))
(*.f64 #s(literal -1/2 binary64) c_p)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
c_n
Outputs
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (exp.f64 (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64))))) (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 c_p))))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))
(fma.f64 c_p (-.f64 (fma.f64 t #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 #s(literal 1/2 binary64) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))
(fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64)))))
c_p
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (exp.f64 (neg.f64 s)))
(*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))
(*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64))))
t
(fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))
(fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) c_p)
(*.f64 c_p #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
c_n

localize338.0ms (0.6%)

Memory
25.2MiB live, 689.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
accuracy99.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy100.0%
(exp.f64 (neg.f64 s))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy100.0%
(exp.f64 (neg.f64 s))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
accuracy99.6%
(log1p.f64 (exp.f64 (neg.f64 s)))
accuracy13.8%
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
accuracy13.8%
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
Samples
140.0ms166×1valid
61.0ms44×2valid
21.0ms11×3valid
20.0ms4valid
11.0ms4exit
5.0ms17×0valid
2.0ms1exit
Compiler

Compiled 310 to 41 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-exp: 48.0ms (22.3% of total)
adjust: 33.0ms (15.3% of total)
ival-log1p: 33.0ms (15.3% of total)
ival-log: 26.0ms (12.1% of total)
ival-add: 19.0ms (8.8% of total)
ival-div: 16.0ms (7.4% of total)
ival-mult: 15.0ms (7% of total)
ival-pow: 15.0ms (7% of total)
ival-sub: 5.0ms (2.3% of total)
ival-neg: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series69.0ms (0.1%)

Memory
-14.2MiB live, 141.8MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))>
#<alt (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))>
#<alt (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))>
#<alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))>
#<alt (exp.f64 (neg.f64 s))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))>
#<alt (log1p.f64 (exp.f64 (neg.f64 s)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))>
Outputs
#<alt (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2)))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2))))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n))))>
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#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))>
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#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))>
#<alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt 1>
#<alt (+ 1 (* -1 s))>
#<alt (+ 1 (* s (- (* 1/2 s) 1)))>
#<alt (+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt -1/2>
#<alt (- (* -1/4 s) 1/2)>
#<alt (- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)>
#<alt (- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n)))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt -1/2>
#<alt (- (* -1/4 t) 1/2)>
#<alt (- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)>
#<alt (- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (* 1/2 s)>
#<alt (* s (+ 1/2 (* -1/8 s)))>
#<alt (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))>
#<alt (* s (+ 1/2 (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8))))>
#<alt (- (log 2) (log (+ 1 (exp (neg s)))))>
#<alt (- (log 2) (log (+ 1 (exp (neg s)))))>
#<alt (- (log 2) (log (+ 1 (exp (neg s)))))>
#<alt (- (log 2) (log (+ 1 (exp (neg s)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -1 s)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -1 s)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -1 s)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -1 s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 s))>
#<alt (+ (log 2) (* s (- (* 1/8 s) 1/2)))>
#<alt (+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt 2>
#<alt (+ 2 (* -1 t))>
#<alt (+ 2 (* t (- (* 1/2 t) 1)))>
#<alt (+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
Calls

84 calls:

TimeVariablePointExpression
31.0ms
s
@inf
(exp (+ (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* -1/2 c_p))))))
7.0ms
c_p
@0
(+ (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* -1/2 c_p)))))
3.0ms
c_n
@0
(+ (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* -1/2 c_p)))))
3.0ms
t
@0
(+ (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* -1/2 c_p)))))
1.0ms
c_n
@0
(exp (+ (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* -1/2 c_p))))))

rewrite448.0ms (0.9%)

Memory
27.1MiB live, 616.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 816×lower-*.f32
3 812×lower-*.f64
3 780×lower-/.f32
3 772×lower-/.f64
2 390×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036187
066186
1252185
21898184
08508184
Stop Event
iter limit
node limit
iter limit
Counts
18 → 585
Calls
Call 1
Inputs
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
Outputs
(exp.f64 (fma.f64 c_n (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))) (fma.f64 c_p (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64)))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 c_n (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 c_n (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) (fma.f64 c_p (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64)))))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 c_p (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 c_n (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) (fma.f64 c_p (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 t (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_p #s(literal -1/2 binary64)))))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
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(-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 0 binary64))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 s))))) (log.f64 #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))

simplify501.0ms (1%)

Memory
-50.7MiB live, 807.8MiB allocated
Algorithm
egg-herbie
Rules
13 422×lower-fma.f64
13 422×lower-fma.f32
6 308×lower-*.f64
6 308×lower-*.f32
3 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05596668
116676521
252796016
081225176
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2)))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2))))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (+ (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p))))))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (+ (* s (+ (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))))
(+ (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (* c_p (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))))))
(+ (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (pow (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s)))))))))
(+ (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (pow (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (pow (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) (- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s)))))))))
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(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
1
(+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
-1/2
(- (* -1/4 t) 1/2)
(- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)
(- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(* 1/2 s)
(* s (+ 1/2 (* -1/8 s)))
(* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))
(* s (+ 1/2 (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(log 2)
(+ (log 2) (* -1/2 s))
(+ (log 2) (* s (- (* 1/8 s) 1/2)))
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))
(log (+ 1 (exp (neg s))))
(log (+ 1 (exp (neg s))))
(log (+ 1 (exp (neg s))))
(log (+ 1 (exp (neg s))))
(log (+ 1 (exp (* -1 s))))
(log (+ 1 (exp (* -1 s))))
(log (+ 1 (exp (* -1 s))))
(log (+ 1 (exp (* -1 s))))
2
(+ 2 (* -1 t))
(+ 2 (* t (- (* 1/2 t) 1)))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
Outputs
(exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))))
(exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)))))
(*.f64 (fma.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2)))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))
(fma.f64 c_n (*.f64 (exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (fma.f64 (*.f64 c_n #s(literal 1/2 binary64)) (pow.f64 (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) 2))))) (* (exp (+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))))))
(fma.f64 (*.f64 (exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (fma.f64 (*.f64 c_n #s(literal 1/6 binary64)) (pow.f64 (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 c_n c_n) (*.f64 (fma.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* c_n (log 1/2))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p)))))
(*.f64 (fma.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p))))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (+ (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p))))))
(fma.f64 (*.f64 s (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p))))
(+ (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (* s (+ (* s (+ (* s (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) (+ (* -1/2 c_n) (* 1/2 c_p))))))
(fma.f64 s (*.f64 (*.f64 s (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))))) (*.f64 (fma.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp.f64 (fma.f64 c_p (-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (fma.f64 t #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))))
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1
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1
#s(literal 1 binary64)
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1
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(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(fma.f64 c_n (fma.f64 c_n (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_n #s(literal 1/6 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
(fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(fma.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/480 binary64) (*.f64 t t) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 t) 1/2)
(fma.f64 t #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)
(fma.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/480 binary64) (*.f64 t t) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(/ -1 (+ 1 (exp (neg t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (neg t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (neg t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (neg t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(* 1/2 s)
(*.f64 s #s(literal 1/2 binary64))
(* s (+ 1/2 (* -1/8 s)))
(*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))
(*.f64 s (fma.f64 s (fma.f64 s (*.f64 s #s(literal 1/192 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* s (+ 1/2 (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8))))
(*.f64 s (fma.f64 s (fma.f64 s (*.f64 s (fma.f64 (*.f64 s s) #s(literal -1/2880 binary64) #s(literal 1/192 binary64))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(- (log 2) (log (+ 1 (exp (neg s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (neg s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(- (log 2) (log (+ 1 (exp (* -1 s)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1/2 s))
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* s (- (* 1/8 s) 1/2)))
(fma.f64 s (fma.f64 s #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))
(fma.f64 s (fma.f64 s (fma.f64 s (*.f64 s #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp (neg s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (neg s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (neg s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (neg s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (* -1 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (* -1 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (* -1 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(log (+ 1 (exp (* -1 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
2
#s(literal 2 binary64)
(+ 2 (* -1 t))
(-.f64 #s(literal 2 binary64) t)
(+ 2 (* t (- (* 1/2 t) 1)))
(fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(fma.f64 t (fma.f64 t (fma.f64 t #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))

eval191.0ms (0.4%)

Memory
9.9MiB live, 326.2MiB allocated
Compiler

Compiled 42 799 to 3 307 computations (92.3% saved)

prune214.0ms (0.4%)

Memory
-20.2MiB live, 293.5MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1 11981 127
Fresh022
Picked415
Done000
Total1 123111 134
Accuracy
100.0%
Counts
1 134 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
93.5%
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
90.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
90.9%
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
90.9%
(pow.f64 #s(literal 1/2 binary64) c_p)
93.4%
(pow.f64 #s(literal 1/2 binary64) c_n)
95.4%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
91.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
99.6%
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
96.1%
(exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))
94.0%
#s(literal 1 binary64)
Compiler

Compiled 287 to 219 computations (23.7% saved)

simplify540.0ms (1%)

Memory
31.4MiB live, 394.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
cost-diff0
(-.f64 #s(literal 2 binary64) s)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
cost-diff0
(neg.f64 c_n)
cost-diff0
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
cost-diff0
(pow.f64 #s(literal 1/2 binary64) c_n)
cost-diff0
(-.f64 c_p c_n)
cost-diff0
(*.f64 (-.f64 c_p c_n) t)
cost-diff0
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
cost-diff704
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
Rules
6 504×lower-fma.f32
6 498×lower-fma.f64
2 440×lower-*.f32
2 434×lower-*.f64
1 494×exp-prod
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
028154
050154
182154
2162152
3368152
4807152
51557152
62740144
74820143
86114143
96463143
106570143
116591143
126592143
136781143
146985143
157026143
167045143
177047143
187047143
197047143
207047143
217053143
07053143
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
#s(literal -1/2 binary64)
(*.f64 (-.f64 c_p c_n) t)
(-.f64 c_p c_n)
c_p
c_n
t
(*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
s
(*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))
(-.f64 c_n c_p)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
#s(literal 1/2 binary64)
(neg.f64 c_n)
c_n
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) s)
#s(literal 2 binary64)
s
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
t
(fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
c_n
Outputs
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 t s))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 t s)))
#s(literal -1/2 binary64)
(*.f64 (-.f64 c_p c_n) t)
(-.f64 c_p c_n)
c_p
c_n
t
(*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
(*.f64 (-.f64 c_p c_n) (*.f64 s #s(literal 1/2 binary64)))
s
(*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))
(-.f64 c_n c_p)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
#s(literal 1/2 binary64)
(neg.f64 c_n)
c_n
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) s)
#s(literal 2 binary64)
s
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 #s(literal -1/2 binary64) t #s(literal 1 binary64)) #s(literal -2 binary64)))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 #s(literal -1/2 binary64) t #s(literal 1 binary64)) #s(literal -2 binary64)))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 #s(literal -1/2 binary64) t #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 #s(literal -1/2 binary64) t #s(literal 1 binary64)) #s(literal -2 binary64)))
#s(literal -1 binary64)
(fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
t
(fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
c_n

localize123.0ms (0.2%)

Memory
-21.9MiB live, 135.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
accuracy100.0%
(-.f64 #s(literal 2 binary64) s)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
accuracy100.0%
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
accuracy100.0%
(neg.f64 c_n)
accuracy100.0%
(pow.f64 #s(literal 1/2 binary64) c_n)
accuracy100.0%
(*.f64 (-.f64 c_p c_n) t)
accuracy100.0%
(*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
accuracy100.0%
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
Samples
88.0ms246×0valid
1.0ms0invalid
1.0ms0exit
Compiler

Compiled 169 to 33 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-exp: 29.0ms (39.6% of total)
ival-add: 15.0ms (20.5% of total)
ival-mult: 9.0ms (12.3% of total)
ival-pow: 9.0ms (12.3% of total)
ival-div: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.5% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.1%)

Memory
22.9MiB live, 60.5MiB allocated
Counts
15 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))>
#<alt (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))>
#<alt (*.f64 (-.f64 c_p c_n) t)>
#<alt (-.f64 c_p c_n)>
#<alt (pow.f64 #s(literal 1/2 binary64) c_n)>
#<alt (pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))>
#<alt (neg.f64 c_n)>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))>
#<alt (-.f64 #s(literal 2 binary64) s)>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))>
Outputs
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (* c_p (+ (* -1/2 t) (* 1/2 s)))>
#<alt (* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))>
#<alt (* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))>
#<alt (* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))>
#<alt (* -1 (* c_p (+ (* -1/2 s) (* 1/2 t))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))>
#<alt (+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (* c_n (+ (* -1/2 s) (* 1/2 t)))>
#<alt (* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))>
#<alt (* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))>
#<alt (* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))>
#<alt (* -1 (* c_n (+ (* -1/2 t) (* 1/2 s))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (* -1/2 (* t (- c_p c_n)))>
#<alt (* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))>
#<alt (* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))>
#<alt (* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))>
#<alt (* -1/2 (* t (- c_p c_n)))>
#<alt (* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))>
#<alt (* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))>
#<alt (* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))>
#<alt (* -1/2 (* t (- c_p c_n)))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))>
#<alt (* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))>
#<alt (* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))>
#<alt (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s)))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s))))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))>
#<alt (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2)))) (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t))))))>
#<alt (+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2))))) (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))>
#<alt (exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))>
#<alt (exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))>
#<alt (exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))>
#<alt (exp (* -1/2 (* s (- c_n c_p))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* -1/2 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n)))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* -1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n))) (* 1/8 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 2)))))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* -1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n))) (* t (+ (* -1/48 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 3)))) (* 1/8 (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 2))))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (* -1/2 (* t (- c_p c_n))))>
#<alt (+ (exp (* -1/2 (* t (- c_p c_n)))) (* -1/2 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p)))))>
#<alt (+ (exp (* -1/2 (* t (- c_p c_n)))) (* s (+ (* -1/2 (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p))) (* 1/8 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 2)))))))>
#<alt (+ (exp (* -1/2 (* t (- c_p c_n)))) (* s (+ (* -1/2 (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 2))))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))>
#<alt (* -1 (* c_n t))>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (* c_p t)>
#<alt (* c_p (+ t (* -1 (/ (* c_n t) c_p))))>
#<alt (* c_p (+ t (* -1 (/ (* c_n t) c_p))))>
#<alt (* c_p (+ t (* -1 (/ (* c_n t) c_p))))>
#<alt (* c_p t)>
#<alt (* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))>
#<alt (* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))>
#<alt (* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))>
#<alt (* c_p t)>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (+ (* -1 (* c_n t)) (* c_p t))>
#<alt (* -1 (* c_n t))>
#<alt (* c_n (+ (* -1 t) (/ (* c_p t) c_n)))>
#<alt (* c_n (+ (* -1 t) (/ (* c_p t) c_n)))>
#<alt (* c_n (+ (* -1 t) (/ (* c_p t) c_n)))>
#<alt (* -1 (* c_n t))>
#<alt (* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))>
#<alt (* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))>
#<alt (* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* t (- c_p c_n))>
#<alt (* -1 c_n)>
#<alt (- c_p c_n)>
#<alt (- c_p c_n)>
#<alt (- c_p c_n)>
#<alt c_p>
#<alt (* c_p (+ 1 (* -1 (/ c_n c_p))))>
#<alt (* c_p (+ 1 (* -1 (/ c_n c_p))))>
#<alt (* c_p (+ 1 (* -1 (/ c_n c_p))))>
#<alt c_p>
#<alt (* -1 (* c_p (- (/ c_n c_p) 1)))>
#<alt (* -1 (* c_p (- (/ c_n c_p) 1)))>
#<alt (* -1 (* c_p (- (/ c_n c_p) 1)))>
#<alt c_p>
#<alt (+ c_p (* -1 c_n))>
#<alt (+ c_p (* -1 c_n))>
#<alt (+ c_p (* -1 c_n))>
#<alt (* -1 c_n)>
#<alt (* c_n (- (/ c_p c_n) 1))>
#<alt (* c_n (- (/ c_p c_n) 1))>
#<alt (* c_n (- (/ c_p c_n) 1))>
#<alt (* -1 c_n)>
#<alt (* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))>
#<alt (* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))>
#<alt (* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))>
#<alt 1>
#<alt (+ 1 (* c_n (log 1/2)))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt 1>
#<alt (+ 1 (* -1 (* c_n (log 1/2))))>
#<alt (+ 1 (* c_n (+ (* -1 (log 1/2)) (* 1/2 (* c_n (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_n (+ (* -1 (log 1/2)) (* c_n (+ (* -1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (exp (* -1 (* c_n (log 1/2))))>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (* -1 c_n)>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* 1/48 (pow c_p 3)) (+ (* 1/24 c_p) (* 1/16 (pow c_p 2)))) (pow 1/2 c_p))) (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (exp (* c_p (+ (log -1) (log (/ 1 s)))))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (+ (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 4/3 (pow c_p 3)) (+ (* 8/3 c_p) (* 4 (pow c_p 2))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))>
#<alt (pow (/ -1 s) c_p)>
#<alt (+ (* 2 (/ (* c_p (pow (/ -1 s) c_p)) s)) (pow (/ -1 s) c_p))>
#<alt (+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p)) s))) s)) (pow (/ -1 s) c_p))>
#<alt (+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (+ (* -1 (/ (* (+ (* -4 (pow c_p 2)) (+ (* -8/3 c_p) (* -4/3 (pow c_p 3)))) (pow (/ -1 s) c_p)) s)) (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p))) s))) s)) (pow (/ -1 s) c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (- 2 s)))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* 1/2 (* c_p (pow (log (/ 1 (- 2 s))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (- 2 s))) 3))) (* 1/2 (pow (log (/ 1 (- 2 s))) 2)))))))>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* 1/8 s))))>
#<alt (+ 1/2 (* s (+ 1/4 (* s (+ 1/8 (* 1/16 s))))))>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* 2 (/ 1 s))) s))>
#<alt (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 s))) s)) 1) s)>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2))) (+ 1 (* 2 (/ 1 s)))) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* 2 (/ 1 s))) s))>
#<alt (* -1 (/ (+ 1 (+ (* 2 (/ 1 s)) (/ 4 (pow s 2)))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) s)) 2) s))) s))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* -1 s))>
#<alt (* -1 s)>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* -1 s)>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/12 (/ c_n (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n))))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ c_n (pow t 2))))>
#<alt (- (+ 1 (* 4 (/ c_n (pow t 3)))) (* -2 (/ c_n (pow t 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -4 (pow c_n 2)) (+ (* -2 c_n) (* 2 (pow c_n 2)))) (pow t 4)))) (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ c_n (pow t 2))))>
#<alt (- (+ 1 (* 4 (/ c_n (pow t 3)))) (* -2 (/ c_n (pow t 2))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow c_n 2) t)) (+ (* -2 (/ c_n t)) (* 2 (/ (pow c_n 2) t)))) (* 4 c_n)) (pow t 3)))) (* -2 (/ c_n (pow t 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))>
#<alt (+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))>
#<alt (+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (+ (* 1/16 (pow c_n 2)) (* 1/12 c_n))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt 1>
#<alt (+ 1 (* -2 (/ c_n (pow t 2))))>
#<alt (+ 1 (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))>
#<alt (+ 1 (+ (* -4 (/ c_n (pow t 3))) (+ (* -2 (/ c_n (pow t 2))) (+ (* -2 (/ c_n (pow t 4))) (* 2 (/ (pow c_n 2) (pow t 4)))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ c_n (pow t 2))))>
#<alt (+ 1 (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))>
#<alt (+ 1 (+ (* -2 (/ c_n (pow t 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 c_n) (* 2 (pow c_n 2))) t)) (* 4 c_n)) (pow t 3)))))>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/16 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 (pow t 2))))>
#<alt (+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))>
#<alt (- (+ 1 (* 16 (/ 1 (pow t 5)))) (+ (* 2 (/ 1 (pow t 2))) (/ 4 (pow t 3))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 (pow t 2))))>
#<alt (+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))>
#<alt (- (+ 1 (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) (pow t 3)))) (* 2 (/ 1 (pow t 2))))>
#<alt -1/2>
#<alt (- (* -1/4 t) 1/2)>
#<alt (- (* t (- (* 1/16 (pow t 2)) 1/4)) 1/2)>
#<alt (- (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)) 1/2)>
#<alt (/ -2 (pow t 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))>
#<alt (/ (- (/ 16 (pow t 3)) (+ 2 (* 4 (/ 1 t)))) (pow t 2))>
#<alt (/ (- (+ (* 32 (/ 1 (pow t 4))) (/ 16 (pow t 3))) (+ 2 (* 4 (/ 1 t)))) (pow t 2))>
#<alt (/ -2 (pow t 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))>
#<alt (/ (- (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) t)) 2) (pow t 2))>
#<alt (/ (- (* -1 (/ (+ 4 (* -1 (/ (+ 16 (* 32 (/ 1 t))) (pow t 2)))) t)) 2) (pow t 2))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* 1/2 (* c_p s))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))>
#<alt (* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))>
#<alt (* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))>
#<alt (* -1/2 (* c_n s))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))>
Calls

87 calls:

TimeVariablePointExpression
4.0ms
c_p
@-inf
(pow (/ 1 (- 2 s)) c_p)
4.0ms
s
@inf
(pow (/ 1 (- 2 s)) c_p)
1.0ms
c_n
@0
(/ 1 (pow (+ 1 (/ -1 (+ (* t (+ (* t 1/2) -1)) 2))) c_n))
1.0ms
c_p
@0
(+ (* -1/2 (* (- c_p c_n) t)) (* s (* -1/2 (- c_n c_p))))
1.0ms
s
@0
(+ (* -1/2 (* (- c_p c_n) t)) (* s (* -1/2 (- c_n c_p))))

rewrite343.0ms (0.7%)

Memory
5.8MiB live, 520.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 826×lower-fma.f32
3 820×lower-fma.f64
3 618×lower-/.f32
3 612×lower-/.f64
3 328×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028116
050115
1207113
21449113
08630113
Stop Event
iter limit
node limit
iter limit
Counts
15 → 457
Calls
Call 1
Inputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(*.f64 (-.f64 c_p c_n) t)
(-.f64 c_p c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
(neg.f64 c_n)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
(-.f64 #s(literal 2 binary64) s)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
Outputs
(+.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
(+.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 c_p c_n) t) (*.f64 (-.f64 c_p c_n) t))) (-.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))) (neg.f64 (/.f64 (*.f64 s (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))) (-.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 c_p c_n) t) (*.f64 (-.f64 c_p c_n) t))) (-.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))) (/.f64 (*.f64 s (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))) (-.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))))
(-.f64 (/.f64 (*.f64 s (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))) (-.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 c_p c_n) t) (*.f64 (-.f64 c_p c_n) t))) (-.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
(fma.f64 (-.f64 c_p c_n) (*.f64 t #s(literal -1/2 binary64)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 (*.f64 (-.f64 c_p c_n) t) #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
(fma.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) s (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
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(fma.f64 c_n (*.f64 #s(literal -1/2 binary64) s) (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) s) c_n (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)) (-.f64 c_n c_p)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c_p c_n) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (+.f64 c_p c_n) (-.f64 c_n c_p)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) s) (/.f64 #s(literal 1 binary64) (-.f64 c_n c_p)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)) (-.f64 c_n c_p))) (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (+.f64 c_p c_n) (-.f64 c_n c_p))) (+.f64 c_p c_n))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)) (-.f64 c_n c_p)))) (neg.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (+.f64 c_p c_n) (-.f64 c_n c_p)))) (neg.f64 (+.f64 c_p c_n)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p)) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p))))))
(/.f64 (+.f64 (pow.f64 (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s)) #s(literal 3 binary64))) (fma.f64 (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) (-.f64 (*.f64 (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s))) (*.f64 (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p)) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) c_n) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (neg.f64 c_p))))
(/.f64 (-.f64 (*.f64 (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s))) (*.f64 (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s)))) (-.f64 (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)) (*.f64 (neg.f64 c_p) (*.f64 #s(literal -1/2 binary64) s))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s))
(*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
(*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) s)
(*.f64 (*.f64 #s(literal -1/2 binary64) s) (-.f64 c_n c_p))
(*.f64 (*.f64 s (-.f64 c_n c_p)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n)) (-.f64 c_n c_p))) (/.f64 #s(literal 1 binary64) (fma.f64 c_p (+.f64 c_p c_n) (*.f64 c_n c_n))))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (+.f64 c_p c_n) (-.f64 c_n c_p))) (/.f64 #s(literal 1 binary64) (+.f64 c_p c_n)))

simplify397.0ms (0.8%)

Memory
-24.6MiB live, 650.9MiB allocated
Algorithm
egg-herbie
Rules
12 180×lower-fma.f64
12 180×lower-fma.f32
7 194×lower-*.f64
7 194×lower-*.f32
3 548×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06704722
120924538
264524409
082274047
Stop Event
iter limit
node limit
Counts
348 → 345
Calls
Call 1
Inputs
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(* c_p (+ (* -1/2 t) (* 1/2 s)))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 t))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(* c_n (+ (* -1/2 s) (* 1/2 t)))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(* -1 (* c_n (+ (* -1/2 t) (* 1/2 s))))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1/2 (* s (- c_n c_p)))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(* -1/2 (* t (- c_p c_n)))
(* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))
(* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))
(* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))
(* -1/2 (* t (- c_p c_n)))
(* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))
(* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))
(* -1 (* t (+ (* 1/2 (- c_p c_n)) (* 1/2 (/ (* s (- c_n c_p)) t)))))
(* -1/2 (* t (- c_p c_n)))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(* -1/2 (* s (- c_n c_p)))
(* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))
(* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))
(* s (+ (* -1/2 (- c_n c_p)) (* -1/2 (/ (* t (- c_p c_n)) s))))
(* -1/2 (* s (- c_n c_p)))
(* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))
(* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))
(* -1 (* s (+ (* 1/2 (- c_n c_p)) (* 1/2 (/ (* t (- c_p c_n)) s)))))
(exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s)))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (+ (* -1/2 t) (* 1/2 s)) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (+ (* -1/2 t) (* 1/2 s))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* 1/2 (* t (+ c_n (* -1 c_p))))))
(exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))))
(+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t)))))
(+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2)))) (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t))))))
(+ (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2))))) (* (exp (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))) (+ (* -1/2 s) (* 1/2 t))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))
(exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))
(exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))
(exp (+ (* -1/2 (* t (+ c_p (* -1 c_n)))) (* 1/2 (* s (+ c_p (* -1 c_n))))))
(exp (* -1/2 (* s (- c_n c_p))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* -1/2 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n)))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* -1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n))) (* 1/8 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 2)))))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* -1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_p c_n))) (* t (+ (* -1/48 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 3)))) (* 1/8 (* (exp (* -1/2 (* s (- c_n c_p)))) (pow (- c_p c_n) 2))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (* -1/2 (* t (- c_p c_n))))
(+ (exp (* -1/2 (* t (- c_p c_n)))) (* -1/2 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p)))))
(+ (exp (* -1/2 (* t (- c_p c_n)))) (* s (+ (* -1/2 (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p))) (* 1/8 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 2)))))))
(+ (exp (* -1/2 (* t (- c_p c_n)))) (* s (+ (* -1/2 (* (exp (* -1/2 (* t (- c_p c_n)))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (* -1/2 (* t (- c_p c_n)))) (pow (- c_n c_p) 2))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n)))))
(* -1 (* c_n t))
(+ (* -1 (* c_n t)) (* c_p t))
(+ (* -1 (* c_n t)) (* c_p t))
(+ (* -1 (* c_n t)) (* c_p t))
(* c_p t)
(* c_p (+ t (* -1 (/ (* c_n t) c_p))))
(* c_p (+ t (* -1 (/ (* c_n t) c_p))))
(* c_p (+ t (* -1 (/ (* c_n t) c_p))))
(* c_p t)
(* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))
(* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))
(* -1 (* c_p (+ (* -1 t) (/ (* c_n t) c_p))))
(* c_p t)
(+ (* -1 (* c_n t)) (* c_p t))
(+ (* -1 (* c_n t)) (* c_p t))
(+ (* -1 (* c_n t)) (* c_p t))
(* -1 (* c_n t))
(* c_n (+ (* -1 t) (/ (* c_p t) c_n)))
(* c_n (+ (* -1 t) (/ (* c_p t) c_n)))
(* c_n (+ (* -1 t) (/ (* c_p t) c_n)))
(* -1 (* c_n t))
(* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))
(* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))
(* -1 (* c_n (+ t (* -1 (/ (* c_p t) c_n)))))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* t (- c_p c_n))
(* -1 c_n)
(- c_p c_n)
(- c_p c_n)
(- c_p c_n)
c_p
(* c_p (+ 1 (* -1 (/ c_n c_p))))
(* c_p (+ 1 (* -1 (/ c_n c_p))))
(* c_p (+ 1 (* -1 (/ c_n c_p))))
c_p
(* -1 (* c_p (- (/ c_n c_p) 1)))
(* -1 (* c_p (- (/ c_n c_p) 1)))
(* -1 (* c_p (- (/ c_n c_p) 1)))
c_p
(+ c_p (* -1 c_n))
(+ c_p (* -1 c_n))
(+ c_p (* -1 c_n))
(* -1 c_n)
(* c_n (- (/ c_p c_n) 1))
(* c_n (- (/ c_p c_n) 1))
(* c_n (- (/ c_p c_n) 1))
(* -1 c_n)
(* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))
(* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))
(* -1 (* c_n (+ 1 (* -1 (/ c_p c_n)))))
1
(+ 1 (* c_n (log 1/2)))
(+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
1
(+ 1 (* -1 (* c_n (log 1/2))))
(+ 1 (* c_n (+ (* -1 (log 1/2)) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(+ 1 (* c_n (+ (* -1 (log 1/2)) (* c_n (+ (* -1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(exp (* -1 (* c_n (log 1/2))))
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(* -1 c_n)
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* 1/48 (pow c_p 3)) (+ (* 1/24 c_p) (* 1/16 (pow c_p 2)))) (pow 1/2 c_p))) (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(exp (* c_p (+ (log -1) (log (/ 1 s)))))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (+ (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 4/3 (pow c_p 3)) (+ (* 8/3 c_p) (* 4 (pow c_p 2))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))
(pow (/ -1 s) c_p)
(+ (* 2 (/ (* c_p (pow (/ -1 s) c_p)) s)) (pow (/ -1 s) c_p))
(+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p)) s))) s)) (pow (/ -1 s) c_p))
(+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (+ (* -1 (/ (* (+ (* -4 (pow c_p 2)) (+ (* -8/3 c_p) (* -4/3 (pow c_p 3)))) (pow (/ -1 s) c_p)) s)) (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p))) s))) s)) (pow (/ -1 s) c_p))
1
(+ 1 (* c_p (log (/ 1 (- 2 s)))))
(+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* 1/2 (* c_p (pow (log (/ 1 (- 2 s))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (- 2 s))) 3))) (* 1/2 (pow (log (/ 1 (- 2 s))) 2)))))))
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* 1/8 s))))
(+ 1/2 (* s (+ 1/4 (* s (+ 1/8 (* 1/16 s))))))
(/ -1 s)
(* -1 (/ (+ 1 (* 2 (/ 1 s))) s))
(/ (- (* -1 (/ (+ 2 (* 4 (/ 1 s))) s)) 1) s)
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2))) (+ 1 (* 2 (/ 1 s)))) s)
(/ -1 s)
(* -1 (/ (+ 1 (* 2 (/ 1 s))) s))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 s)) (/ 4 (pow s 2)))) s))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) s)) 2) s))) s))
2
(+ 2 (* -1 s))
(+ 2 (* -1 s))
(+ 2 (* -1 s))
(* -1 s)
(* s (- (* 2 (/ 1 s)) 1))
(* s (- (* 2 (/ 1 s)) 1))
(* s (- (* 2 (/ 1 s)) 1))
(* -1 s)
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(/ 1 (pow 1/2 c_n))
(+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/12 (/ c_n (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n))))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
1
(+ 1 (* 2 (/ c_n (pow t 2))))
(- (+ 1 (* 4 (/ c_n (pow t 3)))) (* -2 (/ c_n (pow t 2))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow c_n 2)) (+ (* -2 c_n) (* 2 (pow c_n 2)))) (pow t 4)))) (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))
1
(+ 1 (* 2 (/ c_n (pow t 2))))
(- (+ 1 (* 4 (/ c_n (pow t 3)))) (* -2 (/ c_n (pow t 2))))
(- (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow c_n 2) t)) (+ (* -2 (/ c_n t)) (* 2 (/ (pow c_n 2) t)))) (* 4 c_n)) (pow t 3)))) (* -2 (/ c_n (pow t 2))))
1
(+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))) (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))))))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (+ (* 1/16 (pow c_n 2)) (* 1/12 c_n))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
1
(+ 1 (* -2 (/ c_n (pow t 2))))
(+ 1 (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))
(+ 1 (+ (* -4 (/ c_n (pow t 3))) (+ (* -2 (/ c_n (pow t 2))) (+ (* -2 (/ c_n (pow t 4))) (* 2 (/ (pow c_n 2) (pow t 4)))))))
1
(+ 1 (* -2 (/ c_n (pow t 2))))
(+ 1 (+ (* -4 (/ c_n (pow t 3))) (* -2 (/ c_n (pow t 2)))))
(+ 1 (+ (* -2 (/ c_n (pow t 2))) (* -1 (/ (+ (* -1 (/ (+ (* -2 c_n) (* 2 (pow c_n 2))) t)) (* 4 c_n)) (pow t 3)))))
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1)))))) 2)))))))
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/16 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)))
1
(- 1 (* 2 (/ 1 (pow t 2))))
(+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))
(- (+ 1 (* 16 (/ 1 (pow t 5)))) (+ (* 2 (/ 1 (pow t 2))) (/ 4 (pow t 3))))
1
(- 1 (* 2 (/ 1 (pow t 2))))
(+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))
(- (+ 1 (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) (pow t 3)))) (* 2 (/ 1 (pow t 2))))
-1/2
(- (* -1/4 t) 1/2)
(- (* t (- (* 1/16 (pow t 2)) 1/4)) 1/2)
(- (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)) 1/2)
(/ -2 (pow t 2))
(* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))
(/ (- (/ 16 (pow t 3)) (+ 2 (* 4 (/ 1 t)))) (pow t 2))
(/ (- (+ (* 32 (/ 1 (pow t 4))) (/ 16 (pow t 3))) (+ 2 (* 4 (/ 1 t)))) (pow t 2))
(/ -2 (pow t 2))
(* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))
(/ (- (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) t)) 2) (pow t 2))
(/ (- (* -1 (/ (+ 4 (* -1 (/ (+ 16 (* 32 (/ 1 t))) (pow t 2)))) t)) 2) (pow t 2))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(* 1/2 (* c_p s))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(* -1/2 (* c_n s))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(* -1/2 (* c_n s))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(* -1/2 (* c_n s))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(* 1/2 (* c_p s))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(* 1/2 (* c_p s))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
Outputs
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))
(*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (+ (* -1/2 t) (* 1/2 s)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(* c_p (+ (* -1/2 t) (* 1/2 s)))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (*.f64 c_n s) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (*.f64 c_n s) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))))
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (*.f64 c_n s) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 t))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (/.f64 (*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s))) c_p)) (neg.f64 c_p))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (/.f64 (*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s))) c_p)) (neg.f64 c_p))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (/.f64 (*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s))) c_p)) (neg.f64 c_p))
(+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s)))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(+ (* -1/2 (* c_p t)) (+ (* 1/2 (* c_p s)) (* c_n (+ (* -1/2 s) (* 1/2 t)))))
(fma.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)) (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))))
(* c_n (+ (* -1/2 s) (* 1/2 t)))
(*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (*.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 s (/.f64 c_p c_n) t))))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (*.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 s (/.f64 c_p c_n) t))))
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (*.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 s (/.f64 c_p c_n) t))))
(* -1 (* c_n (+ (* -1/2 t) (* 1/2 s))))
(*.f64 c_n (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))) (/.f64 (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))) c_n)) (neg.f64 c_n))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))) (/.f64 (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))) c_n)) (neg.f64 c_n))
(* -1 (* c_n (+ (* -1 (/ (+ (* -1/2 (* c_p t)) (* 1/2 (* c_p s))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64))) (/.f64 (*.f64 c_p (fma.f64 #s(literal -1/2 binary64) t (*.f64 s #s(literal 1/2 binary64)))) c_n)) (neg.f64 c_n))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(*.f64 (-.f64 c_n c_p) (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(*.f64 (-.f64 c_n c_p) (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(+ (* -1/2 (* s (- c_n c_p))) (* -1/2 (* t (- c_p c_n))))
(*.f64 (-.f64 c_n c_p) (fma.f64 #s(literal 1/2 binary64) t (*.f64 #s(literal -1/2 binary64) s)))
(* -1/2 (* t (- c_p c_n)))
(*.f64 #s(literal -1/2 binary64) (*.f64 t (-.f64 c_p c_n)))
(* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 s (/.f64 (-.f64 c_n c_p) t) (-.f64 c_p c_n)) t))
(* t (+ (* -1/2 (- c_p c_n)) (* -1/2 (/ (* s (- c_n c_p)) t))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 s (/.f64 (-.f64 c_n c_p) t) (-.f64 c_p c_n)) t))
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(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 #s(literal 1/2 binary64) t #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 #s(literal 1/2 binary64) t #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 #s(literal 1/2 binary64) t #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
(pow (- 1 (/ 1 (+ 2 (* t (- (* 1/2 t) 1))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 #s(literal 1/2 binary64) t #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
(fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* t (- (* 1/16 (pow t 2)) 1/4)))
(fma.f64 t (fma.f64 #s(literal 1/16 binary64) (*.f64 t t) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)))
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 t #s(literal 1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 (pow t 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))
(+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t)) (*.f64 t t)))
(- (+ 1 (* 16 (/ 1 (pow t 5)))) (+ (* 2 (/ 1 (pow t 2))) (/ 4 (pow t 3))))
(+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 #s(literal 4 binary64) (*.f64 t (*.f64 t t))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 (pow t 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))
(+ 1 (* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t)) (*.f64 t t)))
(- (+ 1 (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) (pow t 3)))) (* 2 (/ 1 (pow t 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 t t))) t)) (*.f64 t t)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 t) 1/2)
(fma.f64 t #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* t (- (* 1/16 (pow t 2)) 1/4)) 1/2)
(fma.f64 t (fma.f64 #s(literal 1/16 binary64) (*.f64 t t) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(- (* t (- (* (pow t 2) (+ 1/16 (* 1/32 t))) 1/4)) 1/2)
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 t #s(literal 1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(/ -2 (pow t 2))
(/.f64 #s(literal -2 binary64) (*.f64 t t))
(* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t)) (*.f64 t t))
(/ (- (/ 16 (pow t 3)) (+ 2 (* 4 (/ 1 t)))) (pow t 2))
(/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 t (*.f64 t t))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t))) (*.f64 t t))
(/ (- (+ (* 32 (/ 1 (pow t 4))) (/ 16 (pow t 3))) (+ 2 (* 4 (/ 1 t)))) (pow t 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 32 binary64) (pow.f64 t #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t))) (*.f64 t t))
(/ -2 (pow t 2))
(/.f64 #s(literal -2 binary64) (*.f64 t t))
(* -1 (/ (+ 2 (* 4 (/ 1 t))) (pow t 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) t)) (*.f64 t t))
(/ (- (* -1 (/ (- 4 (* 16 (/ 1 (pow t 2)))) t)) 2) (pow t 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 t t))) t)) (*.f64 t t))
(/ (- (* -1 (/ (+ 4 (* -1 (/ (+ 16 (* 32 (/ 1 t))) (pow t 2)))) t)) 2) (pow t 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 32 binary64) t)) (*.f64 t t))) t)) (*.f64 t t))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* s (- c_n c_p)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* 1/2 (* c_p s))
(*.f64 #s(literal 1/2 binary64) (*.f64 s c_p))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* -1/2 (* c_n s))
(*.f64 #s(literal -1/2 binary64) (*.f64 c_n s))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* -1/2 (* c_n s))
(*.f64 #s(literal -1/2 binary64) (*.f64 c_n s))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* -1 (* c_n (+ (* -1/2 (/ (* c_p s) c_n)) (* 1/2 s))))
(*.f64 c_n (fma.f64 #s(literal -1/2 binary64) s (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 s c_p) c_n))))
(* -1/2 (* c_n s))
(*.f64 #s(literal -1/2 binary64) (*.f64 c_n s))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_p s)))
(*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))
(* 1/2 (* c_p s))
(*.f64 #s(literal 1/2 binary64) (*.f64 s c_p))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))
(* 1/2 (* c_p s))
(*.f64 #s(literal 1/2 binary64) (*.f64 s c_p))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(*.f64 c_p (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c_n s) c_p) (*.f64 s #s(literal 1/2 binary64))))

eval108.0ms (0.2%)

Memory
6.5MiB live, 235.4MiB allocated
Compiler

Compiled 17 004 to 2 105 computations (87.6% saved)

prune151.0ms (0.3%)

Memory
21.5MiB live, 220.7MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New7948802
Fresh145
Picked415
Done011
Total79914813
Accuracy
100.0%
Counts
813 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
19.7%
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) (fma.f64 #s(literal 4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))
27.1%
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) #s(literal 1 binary64))
90.8%
(pow.f64 (-.f64 #s(literal 2 binary64) s) (neg.f64 c_p))
91.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c_n))
90.9%
(pow.f64 #s(literal 1/2 binary64) c_p)
93.4%
(pow.f64 #s(literal 1/2 binary64) c_n)
95.4%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
20.7%
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) (fma.f64 #s(literal -4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64))))
27.6%
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)))
16.9%
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 c_n #s(literal 4 binary64)) (/.f64 (fma.f64 c_n #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_n c_n))) t)) (*.f64 t (*.f64 t t)))))
96.1%
(exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))
98.5%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
94.0%
#s(literal 1 binary64)
Compiler

Compiled 688 to 280 computations (59.3% saved)

regimes108.0ms (0.2%)

Memory
-6.5MiB live, 208.5MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) (fma.f64 #s(literal 4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) (fma.f64 #s(literal -4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 c_n #s(literal 4 binary64)) (/.f64 (fma.f64 c_n #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_n c_n))) t)) (*.f64 t (*.f64 t t)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
(pow.f64 (-.f64 #s(literal 2 binary64) s) (neg.f64 c_p))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 t #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (fma.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 t (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
Outputs
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
Calls

13 calls:

13.0ms
(exp.f64 (neg.f64 t))
10.0ms
c_n
10.0ms
s
9.0ms
(neg.f64 s)
8.0ms
(neg.f64 t)
Results
AccuracySegmentsBranch
99.6%1c_p
99.6%1c_n
99.6%1t
99.6%1s
99.6%1(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
99.6%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
99.6%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
99.6%1(exp.f64 (neg.f64 s))
99.6%1(neg.f64 s)
99.6%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
99.6%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
99.6%1(exp.f64 (neg.f64 t))
99.6%1(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes150.0ms (0.3%)

Memory
11.4MiB live, 88.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) (fma.f64 #s(literal 4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) (fma.f64 #s(literal -4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 c_n #s(literal 4 binary64)) (/.f64 (fma.f64 c_n #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_n c_n))) t)) (*.f64 t (*.f64 t t)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
(pow.f64 (-.f64 #s(literal 2 binary64) s) (neg.f64 c_p))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (-.f64 c_n c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
Outputs
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
Calls

13 calls:

55.0ms
(exp.f64 (neg.f64 t))
48.0ms
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
5.0ms
c_p
5.0ms
(neg.f64 s)
4.0ms
(neg.f64 t)
Results
AccuracySegmentsBranch
98.5%1c_p
98.5%1c_n
98.5%1t
98.5%1s
98.5%1(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
98.5%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
98.5%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
98.5%1(exp.f64 (neg.f64 s))
98.5%1(neg.f64 s)
98.5%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
98.5%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
98.5%1(exp.f64 (neg.f64 t))
98.5%1(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes47.0ms (0.1%)

Memory
0.4MiB live, 79.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) (fma.f64 #s(literal 4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) (fma.f64 #s(literal -4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 c_n #s(literal 4 binary64)) (/.f64 (fma.f64 c_n #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_n c_n))) t)) (*.f64 t (*.f64 t t)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
(pow.f64 (-.f64 #s(literal 2 binary64) s) (neg.f64 c_p))
Outputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

13 calls:

6.0ms
(neg.f64 t)
5.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
4.0ms
c_p
3.0ms
(neg.f64 s)
3.0ms
c_n
Results
AccuracySegmentsBranch
94.0%1c_p
96.3%2c_n
96.1%2t
94.0%1s
95.7%2(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
94.0%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
94.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
94.0%1(exp.f64 (neg.f64 s))
94.0%1(neg.f64 s)
96.1%2(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
96.1%2(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
96.1%2(exp.f64 (neg.f64 t))
96.1%2(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes41.0ms (0.1%)

Memory
-11.1MiB live, 66.3MiB allocated
Accuracy

Total -51.1b remaining (-1328.2%)

Threshold costs -51.1b (-1328.2%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 c_n (*.f64 t t)) (fma.f64 #s(literal 4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) (fma.f64 #s(literal -4 binary64) (/.f64 c_n (*.f64 t (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 c_n (/.f64 #s(literal -2 binary64) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 c_n #s(literal 4 binary64)) (/.f64 (fma.f64 c_n #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_n c_n))) t)) (*.f64 t (*.f64 t t)))))
Outputs
#s(literal 1 binary64)
Calls

13 calls:

11.0ms
c_n
3.0ms
(exp.f64 (neg.f64 s))
3.0ms
(neg.f64 t)
3.0ms
(neg.f64 s)
3.0ms
s
Results
AccuracySegmentsBranch
94.0%1c_p
94.0%1s
94.0%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
94.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
94.0%1(exp.f64 (neg.f64 s))
94.0%1(neg.f64 s)
94.0%1(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
94.0%1t
94.0%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
94.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
94.0%1(exp.f64 (neg.f64 t))
94.0%1(neg.f64 t)
94.0%1c_n
Compiler

Compiled 133 to 94 computations (29.3% saved)

bsearch20.0ms (0%)

Memory
-4.0MiB live, 33.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
9355455.676796742
35160658.71576728
Samples
15.0ms80×0valid
Compiler

Compiled 120 to 94 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow: 5.0ms (39.3% of total)
ival-div: 2.0ms (15.7% of total)
ival-add: 2.0ms (15.7% of total)
ival-exp: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-neg: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify6.0ms (0%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132
13332
24032
34432
44632
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(if (<=.f64 c_n #s(literal 35000000 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)
Outputs
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_p c_n) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(if (<=.f64 c_n #s(literal 35000000 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)

soundness929.0ms (1.8%)

Memory
-20.0MiB live, 819.5MiB allocated
Rules
14 354×lower-fma.f64
14 354×lower-fma.f32
14 240×lower-fma.f64
14 240×lower-fma.f32
13 422×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06704722
120924538
264524409
082274047
05596668
116676521
252796016
081225176
04217043
113316458
249055915
089385594
022100
039100
1151100
2102295
0861283
099217881
1302417415
0904615545
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 171 to 118 computations (31% saved)

preprocess45.0ms (0.1%)

Memory
13.4MiB live, 127.1MiB allocated
Compiler

Compiled 224 to 126 computations (43.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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