Harley's example

Time bar (total: 2.5min)

analyze872.0ms (0.6%)

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%23.4%75%0%0%1.6%6
0%0%21.1%75%0%0%3.9%7
15.7%3.1%16.8%75%0%0%5.1%8
17.2%3.1%15%75%0%0%6.8%9
18.9%3.1%13.4%75%0%0%8.5%10
21%3.1%11.7%75%0%0%10.1%11
22.7%3.1%10.6%75%0%0%11.2%12
Compiler

Compiled 54 to 26 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 596.0ms
ival-pow: 285.0ms (47.8% of total)
ival-mult: 88.0ms (14.8% of total)
ival-sub: 55.0ms (9.2% of total)
ival-div: 38.0ms (6.4% of total)
ival-exp: 38.0ms (6.4% of total)
ival-neg: 38.0ms (6.4% of total)
ival-add: 25.0ms (4.2% of total)
ival-<: 24.0ms (4% of total)
ival-and: 2.0ms (0.3% of total)
const: 2.0ms (0.3% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.2min (89.8%)

Results
1.9min15331×5exit
11.3s38892×0unsamplable
1.8s8054×0valid
388.0ms20×4valid
173.0ms5valid
112.0ms149×1valid
70.0ms17×3valid
45.0ms61×1unsamplable
27.0ms12×2valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 1.7min (85.4% of total)
ival-div: 4.4s (3.7% of total)
backward-pass: 2.4s (2% of total)
ival-exp: 2.2s (1.8% of total)
ival-mult: 2.0s (1.7% of total)
ival-sub: 2.0s (1.7% of total)
ival-add: 1.9s (1.6% of total)
ival-neg: 1.5s (1.2% of total)
ival-<: 887.0ms (0.7% of total)
const: 157.0ms (0.1% of total)
ival-and: 78.0ms (0.1% of total)
Bogosity

preprocess119.0ms (0.1%)

Algorithm
egg-herbie
Rules
1936×fnmadd-define
1576×fma-define
1304×fmsub-define
1216×sum3-define
868×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094589
1262589
2709589
31501589
42477589
53419589
64534589
75383589
87269589
02239
15039
29039
313239
419439
527339
637039
746839
852839
958039
1058639
1160039
060039
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* (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)))
Outputs
(/ (* (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)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)))
Call 2
Inputs
(/ (* (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)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n)))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_p)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg c_p)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_p)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) t)) (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) t)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) s)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) s)))
(/ (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))
Outputs
(/ (* (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)))
(* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (recip (+ 1 (recip (exp s)))) (neg c_p))) (* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) (neg c_p))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n))))
(/ (* (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (- 1 (recip (+ 1 (recip (exp s))))) (neg c_n))) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) (neg c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n)))
(/ (* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (recip (+ 1 (exp t))) c_p))) (pow (+ 1 (recip (- -1 (exp t)))) c_n))
(/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (recip (+ 1 (exp s))) c_p) (/ (pow (+ 1 (recip (- -1 (exp s)))) c_n) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(* (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (/ (pow (recip (+ 1 (recip (exp s)))) (neg c_p)) (fnmsub (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) (neg c_p)) 0)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n)))))
(* (/ (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (recip (+ 1 (recip (exp t)))) c_p)) (/ (neg (pow (- 1 (recip (+ 1 (recip (exp s))))) (neg c_n))) (pow (+ 1 (recip (- -1 (recip (exp t))))) (neg c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n))))
(* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (neg (pow (recip (+ 1 (exp t))) c_p))) (pow (+ 1 (recip (- -1 (exp t)))) c_n)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(* (pow (recip (+ 1 (exp s))) c_p) (/ (neg (pow (+ 1 (recip (- -1 (exp s)))) c_n)) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_p)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_p)))
(/ (/ (* (pow (recip (+ 1 (recip (exp s)))) c_n) (pow (- 1 (recip (+ 1 (recip (exp s))))) c_p)) (pow (recip (+ 1 (recip (exp t)))) c_n)) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_p))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg c_p)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)))
(* (/ (pow (recip (+ 1 (recip (exp s)))) t) (pow (recip (+ 1 (recip (exp c_p)))) t)) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (+ 1 (recip (- -1 (recip (exp c_p))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_p)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (+ 1 (recip (- -1 (recip (exp c_p))))) c_n) (/ (pow (recip (+ 1 (recip (exp c_p)))) s) (* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) s))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) t)) (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) t)))
(* (pow (- 1 (recip (+ 1 (recip (exp s))))) t) (/ (/ (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp c_n))))) t)) (pow (recip (+ 1 (recip (exp c_n)))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) s)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) s)))
(* (/ (pow (recip (+ 1 (recip (exp c_n)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) s)) (/ (pow (+ 1 (recip (- -1 (recip (exp c_n))))) s) (pow (recip (+ 1 (recip (exp t)))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))
(* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (/ (pow (recip (+ 1 (recip (exp t)))) c_p) (* (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n))))

explain332.0ms (0.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(/.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)))
32(612.682011997631 7.16799698697216e-260 4.3472348813616734e-190 -1.0586741064563448e+201)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
13(2.6961172572380117e-222 8.062229756297379e+246 -348691415.99334896 9.205456241589714e+289)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)
10-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
00-0-(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
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))
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-c_n
01(2.3431945762411893e-148 1.4226726115455969e-146 2.5490677284897277e-154 -114.21288421321715)0-(exp.f64 (neg.f64 s))
02(1.5453250250588244e-59 2.2547479600975075e-302 -576.22510236062 -3.25497050245035e-33)0-(exp.f64 (neg.f64 t))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
00-0-c_p
03(0.013684374566434152 9.019180394440324e-73 1.613061093397154e-243 -3.240186230441377e+73)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
00-0-(neg.f64 t)
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-s
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(neg.f64 s)
Results
140.0ms500×0valid
7.0ms10×1valid
6.0ms2valid
Compiler

Compiled 421 to 68 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-pow: 54.0ms (54.2% of total)
ival-div: 11.0ms (11% of total)
ival-exp: 9.0ms (9% of total)
ival-mult: 7.0ms (7% of total)
ival-neg: 6.0ms (6% of total)
ival-sub: 6.0ms (6% of total)
ival-add: 6.0ms (6% of total)
const: 1.0ms (1% of total)
backward-pass: 1.0ms (1% of total)

eval1.0ms (0%)

Compiler

Compiled 51 to 31 computations (39.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(/.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)

simplify29.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(exp.f64 (neg.f64 s))
cost-diff-64
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
cost-diff-64
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
cost-diff-64
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
Rules
160×sum3-define
136×*-lowering-*.f32
136×*-lowering-*.f64
128×fma-lowering-fma.f32
128×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022166
150166
290166
3132166
4194166
5273166
6370166
7468166
8528166
9580166
10586166
11600166
0600166
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* (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)))
(* (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)
(/ 1 (+ 1 (exp (neg s))))
1
(+ 1 (exp (neg s)))
(exp (neg s))
(neg s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 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))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(/ 1 (+ 1 (exp (neg t))))
(+ 1 (exp (neg t)))
(exp (neg t))
(neg t)
t
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
Outputs
(/ (* (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)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
1
#s(literal 1 binary64)
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (neg s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(neg s)
(-.f64 #s(literal 0 binary64) s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
c_n
(* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (neg t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))

localize153.0ms (0.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)
accuracy99.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy98.9%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy96.6%
(/.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)))
Results
116.0ms250×0valid
5.0ms2valid
3.0ms1valid
Compiler

Compiled 187 to 23 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 49.0ms (54.5% of total)
ival-pow: 22.0ms (24.5% of total)
ival-div: 6.0ms (6.7% of total)
ival-exp: 5.0ms (5.6% of total)
ival-neg: 3.0ms (3.3% of total)
ival-sub: 3.0ms (3.3% of total)
ival-add: 3.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series450.0ms (0.3%)

Counts
8 → 168
Calls
Call 1
Inputs
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (+ 1 (exp (neg s)))>
#<alt (exp (neg s))>
#<alt (/ (* (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)))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
Outputs
#<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 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) (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)))>
#<alt (+ (* -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))))>
#<alt (+ (* 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))))>
#<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_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)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<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 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 (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)>
Calls

42 calls:

TimeVariablePointExpression
124.0ms
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)))
114.0ms
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)))
43.0ms
s
@inf
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
42.0ms
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)))
32.0ms
c_p
@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)))

rewrite330.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
3792×*-lowering-*.f32
3792×*-lowering-*.f64
3636×/-lowering-/.f32
3636×/-lowering-/.f64
1544×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02287
113687
2103982
0845282
Stop Event
iter limit
node limit
Counts
8 → 403
Calls
Call 1
Inputs
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(+ 1 (exp (neg s)))
(exp (neg s))
(/ (* (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)))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
Outputs
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 (/.f64 c_p #s(literal 2 binary64)) (/.f64 c_p #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -2 binary64))) (/.f64 c_p #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (neg.f64 (/.f64 c_p #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (/.f64 c_p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (/.f64 c_p #s(literal 2 binary64)))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (/.f64 c_p #s(literal 2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 c_p #s(literal 2 binary64)) (/.f64 c_p #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64))) (/.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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
(exp.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) #s(literal 2 binary64))) (/.f64 c_n #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 #s(literal 2 binary64) c_n)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 #s(literal 2 binary64) c_n)) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 #s(literal 2 binary64) c_n))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (*.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -2 binary64))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) c_n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))) (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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -2 binary64))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))) (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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify283.0ms (0.2%)

Algorithm
egg-herbie
Rules
4814×*-lowering-*.f32
4814×*-lowering-*.f64
2536×+-lowering-+.f64
2536×+-lowering-+.f32
1660×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04055603
113235002
251694973
082324973
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(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))
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(+ (* -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_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)
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)))))
(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_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) 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))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)))))))))
(+ (* 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))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 c_p (*.f64 c_p #s(literal -1/16 binary64))) (*.f64 c_p (*.f64 (*.f64 c_p c_p) #s(literal 1/48 binary64)))))))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) s)))) c_p)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) c_p)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(+ 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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 c_p (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 3 binary64))) (*.f64 c_p #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) s)))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64)))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 s s)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) (+.f64 #s(literal -1/48 binary64) (*.f64 s (*.f64 s #s(literal 1/480 binary64))))))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
1
#s(literal 1 binary64)
(+ 1 (* -1 s))
(-.f64 #s(literal 1 binary64) s)
(+ 1 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
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1
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) t)))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/4 binary64)))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
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(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
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(pow 1/2 c_n)
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(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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) c_n)))))
(+ 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)))))))
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(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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) t))))) c_n)

eval106.0ms (0.1%)

Compiler

Compiled 40138 to 2494 computations (93.8% saved)

prune84.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6894693
Fresh000
Picked101
Done000
Total6904694
Accuracy
99.9%
Counts
694 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
94.6%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
94.5%
(/.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)))
98.0%
(exp.f64 (+.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))))
Compiler

Compiled 138 to 90 computations (34.8% saved)

simplify169.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
cost-diff6720
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
cost-diff-64
(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-diff64
(*.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-diff6528
(/.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-diff128
(-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
cost-diff192
(+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))
cost-diff320
(+.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)))
cost-diff19136
(exp.f64 (+.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))))
Rules
1926×fnmadd-define
1878×fnmsub-define
1780×fmm-def
1726×fma-lowering-fma.f32
1726×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
063521
1137518
2284515
3697491
42095479
54415473
67398473
08080473
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))
(- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s)))))))
c_n
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))
(/ 1 (+ -1 (/ -1 (exp s))))
1
(+ -1 (/ -1 (exp s)))
-1
(/ -1 (exp s))
(exp s)
s
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))
(/ 1 (+ -1 (/ -1 (exp t))))
(+ -1 (/ -1 (exp t)))
(/ -1 (exp t))
(exp t)
t
(+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))
(neg (* (log (+ 1 (exp (- 0 s)))) c_p))
(* (log (+ 1 (exp (- 0 s)))) c_p)
(log (+ 1 (exp (- 0 s))))
(exp (- 0 s))
(- 0 s)
0
c_p
(* (log (+ 1 (exp (- 0 t)))) c_p)
(log (+ 1 (exp (- 0 t))))
(exp (- 0 t))
(- 0 t)
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) 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)
(/ 1 (+ 1 (exp (neg s))))
1
(+ 1 (exp (neg s)))
(exp (neg s))
(neg s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
c_n
(* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(/ 1 (+ 1 (exp (neg t))))
(+ 1 (exp (neg t)))
(exp (neg t))
(neg t)
t
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
1
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_n
(pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (- 0 t)))))
(/ 1 (+ 1 (exp (- 0 t))))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
t
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_p
(pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)
(/ 1 (+ 1 (exp (- 0 t))))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
t
Outputs
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
c_n
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(/ 1 (+ -1 (/ -1 (exp s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ -1 (/ -1 (exp s)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))
-1
#s(literal -1 binary64)
(/ -1 (exp s))
(/.f64 #s(literal -1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(/ 1 (+ -1 (/ -1 (exp t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))
(+ -1 (/ -1 (exp t)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))
(/ -1 (exp t))
(/.f64 #s(literal -1 binary64) (exp.f64 t))
(exp t)
(exp.f64 t)
t
(+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))
(*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(neg (* (log (+ 1 (exp (- 0 s)))) c_p))
(*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p))
(* (log (+ 1 (exp (- 0 s)))) c_p)
(*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)
(log (+ 1 (exp (- 0 s))))
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
c_p
(* (log (+ 1 (exp (- 0 t)))) c_p)
(*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(log (+ 1 (exp (- 0 t))))
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (- 0 t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(neg s)
(-.f64 #s(literal 0 binary64) s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
c_n
(* 1 (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) (/.f64 #s(literal -1 binary64) (exp.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) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (neg t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) c_n)
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
1
#s(literal 1 binary64)
(/ -1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_n
(pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (- 0 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(/ 1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (- 0 t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
t
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(/ 1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_p
(pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))
(/ 1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (- 0 t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
t

localize2.5s (1.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
accuracy100.0%
(/.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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
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 t))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))
accuracy100.0%
(*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)
accuracy99.6%
(-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
accuracy99.5%
(+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))
Results
2.1s235×5exit
10.0ms13×0valid
6.0ms0unsamplable
Compiler

Compiled 620 to 62 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 793.0ms (47.3% of total)
backward-pass: 192.0ms (11.5% of total)
ival-div: 175.0ms (10.4% of total)
ival-pow: 152.0ms (9.1% of total)
compiled-spec: 95.0ms (5.7% of total)
ival-mult: 92.0ms (5.5% of total)
ival-add: 82.0ms (4.9% of total)
ival-sub: 45.0ms (2.7% of total)
ival-log: 31.0ms (1.8% of total)
ival-neg: 16.0ms (1% of total)
const: 4.0ms (0.2% of total)

series551.0ms (0.4%)

Counts
24 → 576
Calls
Call 1
Inputs
#<alt (exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))>
#<alt (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))>
#<alt (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))>
#<alt (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))>
#<alt (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n))>
#<alt (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))>
#<alt (/ -1 (+ 1 (exp (- 0 s))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))>
#<alt (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (- 0 s))))>
#<alt (+ 1 (exp (- 0 s)))>
#<alt (* (log (+ 1 (exp (- 0 t)))) c_p)>
#<alt (/ 1 (+ -1 (/ -1 (exp t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (+ 1 (exp (neg s)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (- 0 t))))>
#<alt (- 1 (/ 1 (+ 1 (exp (- 0 t)))))>
Outputs
#<alt (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2)))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 3)))) (* 1/2 (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2))))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))>
#<alt (+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p)))))>
#<alt (+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (+ (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p)))) (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p))))))>
#<alt (+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (+ (* s (+ (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (+ (* 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 (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p))))) (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n)))))>
#<alt (+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n)))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (+ (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (+ (* 1/6 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 3)) (* (- (* -1/2 c_p) (* -1/2 c_n)) (- (* 1/8 c_p) (* -1/8 c_n)))))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n))))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))>
#<alt (+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))>
#<alt (+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))>
#<alt (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))>
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#<alt (* c_p (log (+ 1 (exp (neg t)))))>
#<alt (* c_p (log (+ 1 (exp (neg t)))))>
#<alt (* c_p (log (+ 1 (exp (neg 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 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt (/ -1 (+ 1 (/ 1 (exp t))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))>
#<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 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 1/2>
#<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 (+ 1/2 (* 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 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))>
#<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>
#<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)))))>
Calls

144 calls:

TimeVariablePointExpression
224.0ms
t
@inf
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
77.0ms
s
@inf
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
60.0ms
t
@-inf
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
56.0ms
s
@-inf
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
25.0ms
c_p
@0
(+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))

rewrite361.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
2788×*-lowering-*.f32
2788×*-lowering-*.f64
1874×fma-lowering-fma.f32
1874×fma-lowering-fma.f64
1842×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063300
1458292
23489287
08109287
Stop Event
iter limit
node limit
Counts
24 → 674
Calls
Call 1
Inputs
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))
(+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))
(- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) 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 (- 0 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- 0 t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
(+ 1 (exp (- 0 s)))
(* (log (+ 1 (exp (- 0 t)))) c_p)
(/ 1 (+ -1 (/ -1 (exp t))))
(/ 1 (+ 1 (exp (neg t))))
(+ 1 (exp (neg s)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (- 0 t))))
(- 1 (/ 1 (+ 1 (exp (- 0 t)))))
Outputs
(exp.f64 (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (exp.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))))
(*.f64 (exp.f64 (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)) (exp.f64 (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(*.f64 (exp.f64 (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))) (exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (neg.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))))
(+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(+.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)) (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))))
(+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)))
(+.f64 (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))))
(+.f64 (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))
(+.f64 (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(+.f64 (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)))
(+.f64 (+.f64 (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))))) (-.f64 #s(literal 0 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))
(-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 c_p (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -3 binary64))) (/.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 t)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal -3 binary64))) (/.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 t)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))

simplify548.0ms (0.4%)

Algorithm
egg-herbie
Rules
6018×*-lowering-*.f32
6018×*-lowering-*.f64
4982×+-lowering-+.f64
4982×+-lowering-+.f32
1434×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091413683
1310812953
0846412953
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2)))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 3)))) (* 1/2 (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2))))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))
(+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p)))))
(+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (+ (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p)))) (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(+ (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (* s (+ (* s (+ (* s (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (+ (* 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 (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p))))) (* (exp (- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (* -1 s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n)))))
(+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n)))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n))))))
(+ (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (+ (* t (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (+ (* 1/6 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 3)) (* (- (* -1/2 c_p) (* -1/2 c_n)) (- (* 1/8 c_p) (* -1/8 c_n)))))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n))))) (* (exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log 2))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s)))))))) (- (* -1/2 c_p) (* -1/2 c_n))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))
(+ (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s))))))))
(- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(* -1 (* c_n (- (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(* -1 (* c_n (- (+ (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n))) (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(* -1 (* c_n (- (+ (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n))) (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(* -1 (* c_n (- (+ (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n))) (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(- (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))
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(- (+ (* c_n (log 1/2)) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (+ (* -1/2 c_n) (* s (- (* -1/8 c_n) (* 1/8 c_p)))) (* -1/2 c_p))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))
(- (+ (* c_n (log 1/2)) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (+ (* -1/2 c_n) (* s (- (+ (* -1/8 c_n) (* (pow s 2) (- (* 1/192 c_n) (* -1/192 c_p)))) (* 1/8 c_p)))) (* -1/2 c_p))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2))))
(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t)))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
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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 (* -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)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* 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))
(+ (* 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))
(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 (+ 1 (exp (neg s))))) c_n)
(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)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+ 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)))))))
(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 (+ 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 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
1/2
(+ 1/2 (* -1/4 s))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
-1/2
(- (* -1/4 s) 1/2)
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)
(/ -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) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 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))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
1
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 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))
(/ (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))
(/ (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 1/2 c_p))
(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 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))
(/ (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 (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) 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))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(* c_p (log 2))
(+ (* -1/2 (* c_p t)) (* c_p (log 2)))
(+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (* -1 t)))))
(* c_p (log (+ 1 (exp (* -1 t)))))
(* c_p (log (+ 1 (exp (* -1 t)))))
(* c_p (log (+ 1 (exp (* -1 t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg t)))))
(* c_p (log (+ 1 (exp (neg 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 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/ -1 (+ 1 (/ 1 (exp t))))
1/2
(+ 1/2 (* 1/4 t))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(/ 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))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
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
(+ 1/2 (* 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))))
1/2
(+ 1/2 (* 1/4 t))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(/ 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
(+ 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)))))
Outputs
(exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
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1
#s(literal 1 binary64)
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1/2
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#s(literal -1/2 binary64)
(- (* -1/4 t) 1/2)
(+.f64 (*.f64 t #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)
(+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 t 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)
(+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 t t) #s(literal -1/480 binary64)))) #s(literal -1/4 binary64))) #s(literal -1/2 binary64))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64)))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) #s(literal -1/48 binary64)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/4 binary64)))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 t t) #s(literal -1/480 binary64)))) #s(literal -1/4 binary64))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64)))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal -1/48 binary64)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) (+.f64 (*.f64 (*.f64 #s(literal 1/480 binary64) s) s) #s(literal -1/48 binary64))))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64)))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) #s(literal -1/48 binary64)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/4 binary64)))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 t t) #s(literal -1/480 binary64)))) #s(literal -1/4 binary64))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))

eval258.0ms (0.2%)

Compiler

Compiled 59095 to 3508 computations (94.1% saved)

prune227.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1382101392
Fresh000
Picked404
Done000
Total1386101396
Accuracy
100.0%
Counts
1396 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
95.9%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
93.8%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
96.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
94.2%
(/.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 (-.f64 #s(literal 0 binary64) t))))) c_n))
94.5%
(+.f64 #s(literal 1 binary64) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
99.2%
(exp.f64 (-.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
96.1%
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
96.1%
(exp.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))))
94.8%
#s(literal 1 binary64)
Compiler

Compiled 456 to 340 computations (25.4% saved)

simplify248.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
cost-diff0
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
cost-diff0
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
cost-diff0
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
cost-diff0
(+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))
cost-diff0
(+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))))
cost-diff128
(-.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
cost-diff6464
(exp.f64 (-.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
Rules
2482×+-lowering-+.f64
2482×+-lowering-+.f32
2280×fma-lowering-fma.f32
2280×fma-lowering-fma.f64
2156×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051475
1120471
2309469
31041467
44224465
57917465
08623465
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))
(- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))
(+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))))
(+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))))
(* c_p (log 2))
c_p
(log 2)
2
(* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))
t
(+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))
(* t (* 1/8 (+ c_p c_n)))
(* 1/8 (+ c_p c_n))
1/8
(+ c_p c_n)
c_n
(* -1/2 (- c_p c_n))
-1/2
(- c_p c_n)
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))
(log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
1
(exp (- 0 s))
(- 0 s)
0
s
(log 1/2)
1/2
(* c_p (log (+ 1 (exp (- 0 s)))))
(log (+ 1 (exp (- 0 s))))
1
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_p
(pow 1/2 c_p)
1/2
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow 1/2 c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
1
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_n
(pow 1/2 c_n)
1/2
(+ 1 (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))))
1
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))))
c_n
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))
(log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
(log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))
(/ -1 (+ 1 (exp (- 0 t))))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
t
Outputs
(exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n) (exp.f64 (-.f64 (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (log.f64 #s(literal 2 binary64)))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))))
(- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))
(+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))))
(+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))))
(+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))))
(+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))
(* c_p (log 2))
(*.f64 c_p (log.f64 #s(literal 2 binary64)))
c_p
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))
(*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))
t
(+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))
(+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))
(* t (* 1/8 (+ c_p c_n)))
(*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)))
(* 1/8 (+ c_p c_n))
(*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))
1/8
#s(literal 1/8 binary64)
(+ c_p c_n)
(+.f64 c_p c_n)
c_n
(* -1/2 (- c_p c_n))
(*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))
-1/2
#s(literal -1/2 binary64)
(- c_p c_n)
(-.f64 c_p c_n)
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))
(log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
1
#s(literal 1 binary64)
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* c_p (log (+ 1 (exp (- 0 s)))))
(*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(log (+ 1 (exp (- 0 s))))
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))
1
#s(literal 1 binary64)
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p))
(/ 1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_p
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow 1/2 c_n))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n)
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
1
#s(literal 1 binary64)
(/ -1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_n
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1/2
#s(literal 1/2 binary64)
(+ 1 (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))))
1
#s(literal 1 binary64)
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))
c_n
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
(log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))
(/ -1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (- 0 t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
t

localize2.7s (1.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
accuracy99.7%
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) s))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) s))
accuracy100.0%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
accuracy99.9%
(-.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
accuracy99.7%
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))
Results
2.5s244×5exit
17.0ms0unsamplable
5.0ms0valid
Compiler

Compiled 536 to 51 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log: 604.0ms (33.5% of total)
ival-exp: 421.0ms (23.4% of total)
backward-pass: 197.0ms (10.9% of total)
ival-mult: 124.0ms (6.9% of total)
ival-pow: 119.0ms (6.6% of total)
compiled-spec: 115.0ms (6.4% of total)
ival-add: 90.0ms (5% of total)
ival-div: 62.0ms (3.4% of total)
ival-sub: 61.0ms (3.4% of total)
const: 8.0ms (0.4% of total)

series115.0ms (0.1%)

Counts
18 → 456
Calls
Call 1
Inputs
#<alt (exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))>
#<alt (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))>
#<alt (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))))>
#<alt (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (- 0 s))))>
#<alt (+ 1 (exp (- 0 s)))>
#<alt (/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow 1/2 c_n))>
#<alt (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))>
#<alt (/ -1 (+ 1 (exp (- 0 s))))>
#<alt (+ 1 (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))))>
#<alt (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))))>
#<alt (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))>
#<alt (log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))>
#<alt (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))>
#<alt (exp (- 0 s))>
Outputs
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))))))>
#<alt (+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))>
#<alt (+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))>
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
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#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s))))))>
#<alt (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s))))))>
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#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (* t (+ 1/2 (* -1/8 t))))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2)))>
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#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 2)) (/ (* c_p (log 2)) (pow t 2))))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 2)) (/ (* c_p (log 2)) (pow t 2))))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))>
#<alt (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)))>
#<alt (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* c_p (log 2)) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))) (log 1/2)))>
#<alt (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* c_p (log 2)) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))) (log 1/2)))>
#<alt (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* c_p (log 2)) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))) (log 1/2)))>
#<alt (* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (- (* -1/8 t) 1/2)))))>
#<alt (* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2))))))>
#<alt (* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2))))))>
#<alt (* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2))))))>
#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_p (log 2)) (+ (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s)))) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_p (log 2)) (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))))>
#<alt (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))>
#<alt (+ (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))>
#<alt (+ (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))>
#<alt (+ (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))>
#<alt (* c_p (+ (log 2) (* t (- (* 1/8 t) 1/2))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p))))>
#<alt (* c_p (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (* t (+ 1/2 (* -1/8 t))))))>
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#<alt (* -1 (* c_p (+ (* -1 (log 2)) (+ (* -1 (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (log 2)) (+ (* -1 (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* c_p (log 2))>
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#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (/ (* c_p (log 2)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (/ (* c_p (log 2)) (pow t 2)))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (log 2)) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (log 2)) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))>
#<alt (+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (* c_n (* t (+ 1/2 (* 1/8 t))))>
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#<alt (* c_n (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* c_p (log 2)) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n))))>
#<alt (* c_n (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* c_p (log 2)) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n))))>
#<alt (* -1 (* c_n (* t (- (* -1/8 t) 1/2))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2)))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2)))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (* t (- (* -1/8 t) 1/2)))))>
#<alt 1>
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#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))))))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
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#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p))>
#<alt 1>
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#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2))))>
#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 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>
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#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))>
#<alt 1>
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#<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))>
Calls

114 calls:

TimeVariablePointExpression
32.0ms
s
@inf
(exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))
28.0ms
c_n
@0
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))))
6.0ms
c_p
@0
(- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))
5.0ms
c_n
@0
(- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))
3.0ms
t
@0
(exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))

rewrite329.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
2952×*-lowering-*.f32
2952×*-lowering-*.f64
2560×pow-lowering-pow.f64
2560×pow-lowering-pow.f32
2078×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051281
1336277
23121273
08512273
Stop Event
iter limit
node limit
Counts
18 → 454
Calls
Call 1
Inputs
(exp (- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s)))))))
(- (+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2)))) (* c_p (log (+ 1 (exp (- 0 s))))))
(+ (+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n))))) (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))))
(+ (* c_p (log 2)) (* t (+ (* t (* 1/8 (+ c_p c_n))) (* -1/2 (- c_p c_n)))))
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
(+ 1 (exp (- 0 s)))
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow 1/2 c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(+ 1 (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))))
(* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))))
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))))
(log (+ 1 (/ -1 (+ 1 (exp (- 0 s))))))
(- (log (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))) (log 1/2))
(exp (- 0 s))
Outputs
(exp.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n))))
(/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(/.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))) (exp.f64 (/.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #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 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))) (exp.f64 (/.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #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 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)))
(*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (+.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)))))
(*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n) (exp.f64 (-.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))))
(*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (exp.f64 (+.f64 (*.f64 c_p (log.f64 #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 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (-.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (+.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p))))
(+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
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(log.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 3 binary64)))) (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -2 binary64)))) (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (log.f64 #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 1/2 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp.f64 (*.f64 (log.f64 (exp.f64 s)) #s(literal -1 binary64)))
(exp.f64 (*.f64 s #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 s) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 s)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 s s))) (exp.f64 (/.f64 (*.f64 s (*.f64 s s)) (*.f64 s s))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) s)) (exp.f64 (/.f64 (*.f64 s s) s)))
(pow.f64 (exp.f64 s) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 s) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) s)
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 s (*.f64 s s)))) (/.f64 #s(literal 1 binary64) (*.f64 s s)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 s s))) (/.f64 #s(literal 1 binary64) s))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) #s(literal 1 binary64))

simplify393.0ms (0.3%)

Algorithm
egg-herbie
Rules
5040×*-lowering-*.f32
5040×*-lowering-*.f64
3906×+-lowering-+.f64
3906×+-lowering-+.f32
1918×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068210700
122529934
084639934
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* -1/2 (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n)))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* -1/2 (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n))) (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_p c_n) 2))))))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* -1/2 (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n))) (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/16 (* (+ c_n c_p) (- c_p c_n))) (* -1/48 (pow (- c_p c_n) 3))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_p c_n) 2)))))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ 1 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_n))))
(* -1 (* c_n (- (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (/ 1 c_n))))
(* -1 (* c_n (- (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (/ 1 c_n))))
(+ 1 (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))))
(+ 1 (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s))))))
(+ 1 (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))
(+ 1 (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))))
(+ 1 (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+ 1 (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))))
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))
(+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* 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)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))
(- (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 1/2)
(+ (log 1/2) (* -1/2 s))
(+ (log 1/2) (* s (- (* -1/8 s) 1/2)))
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(* -1/2 s)
(* s (- (* -1/8 s) 1/2))
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))
1
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
Outputs
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (*.f64 c_p (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))))))
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 c_p (+.f64 (*.f64 c_p (*.f64 (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64))) #s(literal 1/6 binary64))) (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))) (*.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* -1/2 (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n)))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* -1/2 (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n))) (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_p c_n) 2))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))) (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 c_n c_p) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n)))) t)))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* -1/2 (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (- c_p c_n))) (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/16 (* (+ c_n c_p) (- c_p c_n))) (* -1/48 (pow (- c_p c_n) 3))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_p c_n) 2)))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))) (*.f64 t (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 c_n c_p) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n))))) (*.f64 (exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 (+.f64 (*.f64 (-.f64 c_p c_n) (*.f64 (+.f64 c_n c_p) #s(literal -1/16 binary64))) (*.f64 (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n)) (*.f64 (-.f64 c_p c_n) #s(literal -1/48 binary64)))) t)))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* -1/2 (* t (- c_p c_n))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+ (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_n (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))))
(+ (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) 2)))) (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_n (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (pow.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
(+ (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) 3)))) (* 1/2 (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) 2))))) (* (exp (- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_n (+.f64 (*.f64 (*.f64 (*.f64 c_n #s(literal 1/6 binary64)) (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))) (pow.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 t (*.f64 #s(literal 1/8 binary64) c_p)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (pow.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(exp.f64 (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(exp.f64 (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(exp.f64 (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(exp.f64 (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (-.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n)))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n)))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n)))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n)))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))
(exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))))
(+ (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (* s (* (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (- (* -1/2 c_n) (* -1/2 c_p)))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 s (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
(+ (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (* s (+ (* s (* (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p)))) (* (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 s (+.f64 (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))) (*.f64 s (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))))))))
(+ (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (* s (+ (* s (+ (* s (* (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (+ (* 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 c_n)) (* 1/8 (* t (+ c_n c_p)))))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p))))) (* (exp (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p)))))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 s (+.f64 (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 s (+.f64 (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 s (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (*.f64 c_p (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (*.f64 c_p (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (*.f64 c_p (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(* c_p (- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))))
(*.f64 c_p (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* c_p (- (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))) (log (+ 1 (exp (neg s))))))
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(* c_p (- (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))) (log (+ 1 (exp (neg s))))))
(*.f64 c_p (+.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))) (/.f64 c_n c_p)) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) c_p))) (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* c_p (- (+ (log 2) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))) (log (+ 1 (exp (neg s))))))
(*.f64 c_p (+.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))) (/.f64 c_n c_p)) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) c_p))) (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* -1 (* c_p (- (+ (* -1 (log 2)) (* t (+ 1/2 (* -1/8 t)))) (* -1 (log (+ 1 (exp (neg s))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_p) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (- (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t))))) (* -1 (log (+ 1 (exp (neg s))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_p) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (/.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))) c_p)) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (- (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t))))) (* -1 (log (+ 1 (exp (neg s))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_p) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (/.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))) c_p)) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (- (+ (* -1 (log 2)) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (* t (+ 1/2 (* -1/8 t))))) (* -1 (log (+ 1 (exp (neg s))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_p) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 (-.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/8 binary64)))) (/.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 t (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))) c_p)) (log.f64 #s(literal 2 binary64)))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))
(+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(- (+ (* -1/2 (* t (- c_p c_n))) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2)))) (* c_p (log (+ 1 (exp (neg s))))))
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(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s))))))
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(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 (- c_p c_n)) (* 1/8 (* t (+ c_n c_p))))))) (* c_p (log (+ 1 (exp (neg s))))))
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(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (+.f64 c_n c_p) (*.f64 t (*.f64 t #s(literal 1/8 binary64))))
(* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) t)))
(* (pow t 2) (- (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 2)) (/ (* c_p (log 2)) (pow t 2))))) (/ (* c_p (log (+ 1 (exp (neg s))))) (pow t 2))))
(*.f64 (*.f64 t t) (+.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))) (/.f64 c_n (*.f64 t t))) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t t)))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) t) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (/.f64 c_p (*.f64 t t))))))
(* (pow t 2) (- (+ (* -1/2 (/ (- c_p c_n) t)) (+ (* 1/8 (+ c_n c_p)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 2)) (/ (* c_p (log 2)) (pow t 2))))) (/ (* c_p (log (+ 1 (exp (neg s))))) (pow t 2))))
(*.f64 (*.f64 t t) (+.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))) (/.f64 c_n (*.f64 t t))) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t t)))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) t) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (/.f64 c_p (*.f64 t t))))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (+.f64 c_n c_p) (*.f64 t (*.f64 t #s(literal 1/8 binary64))))
(* (pow t 2) (+ (* -1/2 (/ (- c_p c_n) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n)) (/.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) t)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))) t)) (* 1/2 (- c_p c_n))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n)) (/.f64 (+.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) t)) t)))
(- (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) (* c_p (log (+ 1 (exp (neg s))))))
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(- (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_p (log (+ 1 (exp (neg s))))))
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(- (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_p (log (+ 1 (exp (neg s))))))
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(- (+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_p (log (+ 1 (exp (neg s))))))
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1/2
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1
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(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))

eval185.0ms (0.1%)

Compiler

Compiled 44824 to 3480 computations (92.2% saved)

prune223.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New121771224
Fresh325
Picked415
Done000
Total1224101234
Accuracy
100.0%
Counts
1234 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
97.9%
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c_p))
94.2%
(/.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 (-.f64 #s(literal 0 binary64) t))))) c_n))
94.7%
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))))
94.7%
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)))
94.8%
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
95.0%
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))))
99.2%
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s))))
95.0%
(exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))))
94.8%
#s(literal 1 binary64)
Compiler

Compiled 383 to 271 computations (29.2% saved)

simplify279.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) s))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64))
cost-diff128
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c_p))
cost-diff256
(+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))
cost-diff256
(*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))
cost-diff256
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))
cost-diff256
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))))
cost-diff128
(*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))
cost-diff256
(+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))
cost-diff256
(*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))))
cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))))
cost-diff0
(*.f64 s #s(literal -1/2 binary64))
cost-diff0
(*.f64 c_n (*.f64 s #s(literal -1/2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
cost-diff0
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
cost-diff0
(*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))
cost-diff128
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))
cost-diff128
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s))))
Rules
3320×*-lowering-*.f32
3320×*-lowering-*.f64
3028×+-lowering-+.f64
3028×+-lowering-+.f32
1472×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051485
1163478
2583453
31824450
45074450
08243450
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s)))
(* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))
t
(+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))
(* 1/2 (- c_n c_p))
1/2
(- c_n c_p)
c_n
c_p
(* t (* 1/8 (+ c_n c_p)))
(* 1/8 (+ c_n c_p))
1/8
(+ c_n c_p)
(* -1/2 (* (- c_n c_p) s))
-1/2
(* (- c_n c_p) s)
s
(+ 1 (* c_n (* s -1/2)))
1
(* c_n (* s -1/2))
c_n
(* s -1/2)
s
-1/2
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))))
1
(* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))))
s
(+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))
(* 1/2 c_p)
1/2
c_p
(* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))
(+ (* c_p -1/8) (* 1/8 (* c_p c_p)))
(* c_p -1/8)
-1/8
(* 1/8 (* c_p c_p))
1/8
(* c_p c_p)
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))))
(* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))
t
(+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))
(* 1/2 (- c_n c_p))
1/2
(- c_n c_p)
c_n
c_p
(* t (* 1/8 (+ c_n c_p)))
(* 1/8 (+ c_n c_p))
1/8
(+ c_n c_p)
(* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))
s
(+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))
(* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p))))
(+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))
(* s (* s (* 1/192 (+ c_n c_p))))
(* s (* 1/192 (+ c_n c_p)))
(* 1/192 (+ c_n c_p))
1/192
(* -1/8 (+ c_n c_p))
-1/8
(* -1/2 (- c_n c_p))
-1/2
(pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))
(* (+ 1 (exp (- 0 s))) 1/2)
(+ 1 (exp (- 0 s)))
1
(exp (- 0 s))
(- 0 s)
0
s
1/2
(- 0 c_p)
c_p
Outputs
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (+.f64 c_n c_p)))) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t #s(literal 1/2 binary64))))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s)))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (+.f64 c_n c_p)))) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t #s(literal 1/2 binary64)))))
(* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))
(*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))
t
(+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
(* 1/2 (- c_n c_p))
(*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p))
1/2
#s(literal 1/2 binary64)
(- c_n c_p)
(-.f64 c_n c_p)
c_n
c_p
(* t (* 1/8 (+ c_n c_p)))
(*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))
(* 1/8 (+ c_n c_p))
(*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))
1/8
#s(literal 1/8 binary64)
(+ c_n c_p)
(+.f64 c_n c_p)
(* -1/2 (* (- c_n c_p) s))
(*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))
-1/2
#s(literal -1/2 binary64)
(* (- c_n c_p) s)
(*.f64 (-.f64 c_n c_p) s)
s
(+ 1 (* c_n (* s -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 #s(literal -1/2 binary64) s)))
1
#s(literal 1 binary64)
(* c_n (* s -1/2))
(*.f64 c_n (*.f64 #s(literal -1/2 binary64) s))
c_n
(* s -1/2)
(*.f64 #s(literal -1/2 binary64) s)
s
-1/2
#s(literal -1/2 binary64)
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64))))))))
1
#s(literal 1 binary64)
(* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))))
(*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64)))))))
s
(+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))
(*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64))))))
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
c_p
(* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64))) (*.f64 c_p s))
(+ (* c_p -1/8) (* 1/8 (* c_p c_p)))
(*.f64 c_p (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64))))
(* c_p -1/8)
(*.f64 c_p #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(* 1/8 (* c_p c_p))
(*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)))
1/8
#s(literal 1/8 binary64)
(* c_p c_p)
(*.f64 c_p c_p)
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (+.f64 c_n c_p)))) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t #s(literal 1/2 binary64))))) (*.f64 (*.f64 (+.f64 c_n c_p) (*.f64 s s)) (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64)))))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))))
(+.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (+.f64 c_n c_p)))) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t #s(literal 1/2 binary64))))) (*.f64 (*.f64 (+.f64 c_n c_p) (*.f64 s s)) (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64))))))
(* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))
(*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))
t
(+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
(* 1/2 (- c_n c_p))
(*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p))
1/2
#s(literal 1/2 binary64)
(- c_n c_p)
(-.f64 c_n c_p)
c_n
c_p
(* t (* 1/8 (+ c_n c_p)))
(*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))
(* 1/8 (+ c_n c_p))
(*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))
1/8
#s(literal 1/8 binary64)
(+ c_n c_p)
(+.f64 c_n c_p)
(* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))
(*.f64 s (+.f64 (*.f64 (+.f64 c_n c_p) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64)))) s)) (*.f64 (-.f64 c_n c_p) #s(literal -1/2 binary64))))
s
(+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))
(+.f64 (*.f64 (+.f64 c_n c_p) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64)))) s)) (*.f64 (-.f64 c_n c_p) #s(literal -1/2 binary64)))
(* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p))))
(*.f64 (+.f64 c_n c_p) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64)))) s))
(+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))
(*.f64 (+.f64 c_n c_p) (+.f64 #s(literal -1/8 binary64) (*.f64 s (*.f64 s #s(literal 1/192 binary64)))))
(* s (* s (* 1/192 (+ c_n c_p))))
(*.f64 (+.f64 c_n c_p) (*.f64 s (*.f64 s #s(literal 1/192 binary64))))
(* s (* 1/192 (+ c_n c_p)))
(*.f64 s (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(* 1/192 (+ c_n c_p))
(*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64))
1/192
#s(literal 1/192 binary64)
(* -1/8 (+ c_n c_p))
(*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(* -1/2 (- c_n c_p))
(*.f64 (-.f64 c_n c_p) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
(* (+ 1 (exp (- 0 s))) 1/2)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 s)))
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
1
#s(literal 1 binary64)
(exp (- 0 s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
1/2
#s(literal 1/2 binary64)
(- 0 c_p)
(-.f64 #s(literal 0 binary64) c_p)
c_p

localize302.0ms (0.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) s))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy99.6%
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c_p))
accuracy99.9%
(*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))
accuracy99.8%
(*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p))))
accuracy99.8%
(*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))
accuracy99.4%
(*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) c_p)
accuracy100.0%
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))
accuracy99.9%
(*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))
accuracy99.6%
(*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 s #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 c_n (*.f64 s #s(literal -1/2 binary64)))
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
accuracy100.0%
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))
accuracy99.9%
(*.f64 (-.f64 c_n c_p) s)
accuracy99.9%
(*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)))))
Results
150.0ms255×0valid
1.0ms1valid
Compiler

Compiled 527 to 52 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 38.0ms (51.9% of total)
ival-add: 14.0ms (19.1% of total)
ival-pow: 6.0ms (8.2% of total)
ival-exp: 5.0ms (6.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (5.5% of total)
ival-sub: 4.0ms (5.5% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series140.0ms (0.1%)

Counts
25 → 708
Calls
Call 1
Inputs
#<alt (exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s))))>
#<alt (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s)))>
#<alt (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))>
#<alt (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))>
#<alt (+ 1 (* c_n (* s -1/2)))>
#<alt (* c_n (* s -1/2))>
#<alt (* s -1/2)>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))))>
#<alt (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))))>
#<alt (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))>
#<alt (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))>
#<alt (exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))))>
#<alt (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))))>
#<alt (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))>
#<alt (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))>
#<alt (pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))>
#<alt (* (+ 1 (exp (- 0 s))) 1/2)>
#<alt (+ 1 (exp (- 0 s)))>
#<alt (exp (- 0 s))>
#<alt (* (- c_n c_p) s)>
#<alt (* 1/8 (* c_p c_p))>
#<alt (* 1/2 c_p)>
#<alt (* 1/192 (+ c_n c_p))>
#<alt (* s (* 1/192 (+ c_n c_p)))>
#<alt (* s (* s (* 1/192 (+ c_n c_p))))>
Outputs
#<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_n c_p)))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2))))))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/48 (pow (- c_n c_p) 3)) (* 1/16 (* (+ c_n c_p) (- c_n c_p)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2)))))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))))>
#<alt (+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2)))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))>
#<alt (+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 3)))) (* 1/2 (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2))))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))>
#<alt (exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))>
#<alt (exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))>
#<alt (exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))>
#<alt (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))>
#<alt (exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))>
#<alt (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* -1/2 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p)))))>
#<alt (+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* 1/8 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2)))))))>
#<alt (+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2))))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* 1/2 (* t (- c_n c_p))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))>
#<alt (* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))>
#<alt (* 1/8 (* (pow t 2) (+ c_n c_p)))>
#<alt (* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))>
#<alt (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))>
#<alt (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))>
#<alt (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))>
#<alt (* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))>
#<alt (* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))>
#<alt (* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))>
#<alt (* -1 (* c_n (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2)))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))>
#<alt (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))>
#<alt (* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))>
#<alt (* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))>
#<alt (* 1/2 (* t (- c_n c_p)))>
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#<alt (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))>
#<alt (+ (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (* 1/2 (* t (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (- c_n c_p)))))>
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#<alt (+ (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2)))) (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (+ (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2)))) (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2))))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (+ (* t (- (* 1/8 t) 1/2)) (+ (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))>
#<alt (* -1 (* c_p (+ (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)) (* t (+ 1/2 (* -1/8 t))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)) (* t (+ 1/2 (* -1/8 t)))))))>
#<alt (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))>
#<alt (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (* s (+ (* -1/2 (- c_n c_p)) (* -1/8 (* s (+ c_n c_p))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))>
#<alt (* 1/192 (* (pow s 4) (+ c_n c_p)))>
#<alt (* (pow s 4) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (+ (* 1/192 (+ c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) (pow s 4))))))>
#<alt (* 1/192 (* (pow s 4) (+ c_n c_p)))>
#<alt (* (pow s 4) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* (pow s 4) (+ (* -1 (/ (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p))) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* -1/2 (* s (- c_n c_p)))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* -1/8 (* s (+ c_n c_p)))))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))>
#<alt (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))>
#<alt (* 1/192 (* (pow s 4) (+ c_n c_p)))>
#<alt (* (pow s 4) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* 1/192 (* (pow s 4) (+ c_n c_p)))>
#<alt (* (pow s 4) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* (pow s 4) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))>
#<alt (+ (* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))>
#<alt (+ (* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))>
#<alt (+ (* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))>
#<alt (* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))>
#<alt (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))>
#<alt (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))>
#<alt (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))>
#<alt (* -1 (* c_n (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2))))))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))>
#<alt (* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))>
#<alt (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))>
#<alt (+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))>
#<alt (+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))>
#<alt (+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))>
#<alt (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))>
#<alt (* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))>
#<alt (* -1 (* c_p (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))>
#<alt (* -1/2 (- c_n c_p))>
#<alt (+ (* -1/2 (- c_n c_p)) (* -1/8 (* s (+ c_n c_p))))>
#<alt (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))>
#<alt (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))>
#<alt (* 1/192 (* (pow s 3) (+ c_n c_p)))>
#<alt (* (pow s 3) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))>
#<alt (* (pow s 3) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* (pow s 3) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))>
#<alt (* 1/192 (* (pow s 3) (+ c_n c_p)))>
#<alt (* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow s 2))))))>
#<alt (* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/2 (/ (- c_n c_p) (pow s 3)))))))>
#<alt (* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/2 (/ (- c_n c_p) (pow s 3)))))))>
#<alt (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))>
#<alt (+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))>
#<alt (+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))>
#<alt (+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))>
#<alt (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))>
#<alt (* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))>
#<alt (* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))>
#<alt (* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))>
#<alt (* -1 (* c_n (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))>
#<alt (* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))>
#<alt (* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))>
#<alt (* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))>
#<alt (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))>
#<alt (+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))>
#<alt (+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))>
#<alt (+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))>
#<alt (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))>
#<alt (* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))>
#<alt (* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))>
#<alt (* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))>
#<alt (* -1 (* c_p (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))>
#<alt (* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))>
#<alt (* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))>
#<alt (* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (* 1/2 (+ 1 (exp (neg s)))))) (* 1/2 (* c_p (pow (log (* 1/2 (+ 1 (exp (neg s))))) 2))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (* 1/2 (+ 1 (exp (neg s)))))) (* c_p (+ (* -1/6 (* c_p (pow (log (* 1/2 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (* 1/2 (+ 1 (exp (neg s))))) 2)))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt (exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 s))>
#<alt (+ 1 (* s (- (* 1/4 s) 1/2)))>
#<alt (+ 1 (* s (- (* s (+ 1/4 (* -1/12 s))) 1/2)))>
#<alt (* 1/2 (+ 1 (exp (neg s))))>
#<alt (* 1/2 (+ 1 (exp (neg s))))>
#<alt (* 1/2 (+ 1 (exp (neg s))))>
#<alt (* 1/2 (+ 1 (exp (neg s))))>
#<alt (* 1/2 (+ 1 (exp (* -1 s))))>
#<alt (* 1/2 (+ 1 (exp (* -1 s))))>
#<alt (* 1/2 (+ 1 (exp (* -1 s))))>
#<alt (* 1/2 (+ 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 (* -1 (* c_p s))>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (* c_n s)>
#<alt (* c_n (+ s (* -1 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ s (* -1 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ s (* -1 (/ (* c_p s) c_n))))>
#<alt (* c_n s)>
#<alt (* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))>
#<alt (* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))>
#<alt (* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))>
#<alt (* c_n s)>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (+ (* -1 (* c_p s)) (* c_n s))>
#<alt (* -1 (* c_p s))>
#<alt (* c_p (+ (* -1 s) (/ (* c_n s) c_p)))>
#<alt (* c_p (+ (* -1 s) (/ (* c_n s) c_p)))>
#<alt (* c_p (+ (* -1 s) (/ (* c_n s) c_p)))>
#<alt (* -1 (* c_p s))>
#<alt (* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* s (- c_n c_p))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/8 (pow c_p 2))>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/192 c_p)>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (* 1/192 c_n)>
#<alt (* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))>
#<alt (* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))>
#<alt (* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))>
#<alt (* 1/192 c_n)>
#<alt (* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))>
#<alt (* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))>
#<alt (* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))>
#<alt (* 1/192 c_n)>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (+ (* 1/192 c_n) (* 1/192 c_p))>
#<alt (* 1/192 c_p)>
#<alt (* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))>
#<alt (* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))>
#<alt (* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))>
#<alt (* 1/192 c_p)>
#<alt (* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))>
#<alt (* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))>
#<alt (* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* s (+ c_n c_p)))>
#<alt (* 1/192 (* c_p s))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (* 1/192 (* c_n s))>
#<alt (* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))>
#<alt (* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))>
#<alt (* 1/192 (* c_n s))>
#<alt (* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))>
#<alt (* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))>
#<alt (* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))>
#<alt (* 1/192 (* c_n s))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))>
#<alt (* 1/192 (* c_p s))>
#<alt (* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))>
#<alt (* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))>
#<alt (* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))>
#<alt (* 1/192 (* c_p s))>
#<alt (* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))>
#<alt (* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* (pow s 2) (+ c_n c_p)))>
#<alt (* 1/192 (* c_p (pow s 2)))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (* 1/192 (* c_n (pow s 2)))>
#<alt (* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))>
#<alt (* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))>
#<alt (* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))>
#<alt (* 1/192 (* c_n (pow s 2)))>
#<alt (* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))>
#<alt (* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))>
#<alt (* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))>
#<alt (* 1/192 (* c_n (pow s 2)))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))>
#<alt (* 1/192 (* c_p (pow s 2)))>
#<alt (* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))>
#<alt (* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))>
#<alt (* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))>
#<alt (* 1/192 (* c_p (pow s 2)))>
#<alt (* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))>
#<alt (* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))>
#<alt (* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))>
Calls

177 calls:

TimeVariablePointExpression
46.0ms
s
@inf
(pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))
19.0ms
s
@-inf
(pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))
7.0ms
t
@inf
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s))))
6.0ms
c_n
@inf
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))))
3.0ms
s
@0
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))))

rewrite313.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
3624×*-lowering-*.f32
3624×*-lowering-*.f64
2146×pow-lowering-pow.f64
2146×pow-lowering-pow.f32
1408×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051317
1327311
23410311
08170311
Stop Event
iter limit
node limit
Counts
25 → 362
Calls
Call 1
Inputs
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* -1/2 (* (- c_n c_p) s)))
(* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p)))))
(+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))
(+ 1 (* c_n (* s -1/2)))
(* c_n (* s -1/2))
(* s -1/2)
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))))
(* s (+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))))
(+ (* 1/2 c_p) (* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p)))))
(* s (+ (* c_p -1/8) (* 1/8 (* c_p c_p))))
(exp (+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))))
(+ (* t (+ (* 1/2 (- c_n c_p)) (* t (* 1/8 (+ c_n c_p))))) (* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))))
(* s (+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p))))
(+ (* s (+ (* s (* s (* 1/192 (+ c_n c_p)))) (* -1/8 (+ c_n c_p)))) (* -1/2 (- c_n c_p)))
(pow (* (+ 1 (exp (- 0 s))) 1/2) (- 0 c_p))
(* (+ 1 (exp (- 0 s))) 1/2)
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(* (- c_n c_p) s)
(* 1/8 (* c_p c_p))
(* 1/2 c_p)
(* 1/192 (+ c_n c_p))
(* s (* 1/192 (+ c_n c_p)))
(* s (* s (* 1/192 (+ c_n c_p))))
Outputs
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))))
(/.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) s))))) (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 s s)) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) s))))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 s (*.f64 s s))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))) (*.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))))))
(pow.f64 (exp.f64 (-.f64 (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 s s)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))))
(*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))))) (exp.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))))
(*.f64 (exp.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))))))
(*.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)))) (exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 t t)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))))
(*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p))))) (exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 t t))))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.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 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))
(+.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p))) (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 t t)) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s))))
(+.f64 (+.f64 (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)) (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 t t)))
(-.f64 (/.f64 (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 s s)) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))))
(fma.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s)))
(fma.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) 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 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))
(fma.f64 (*.f64 (-.f64 c_n c_p) s) #s(literal -1/2 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))
(fma.f64 (*.f64 (-.f64 c_n c_p) #s(literal -1/2 binary64)) s (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))))) (*.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))))))) (+.f64 (*.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t)))) (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) t))))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 s (*.f64 s s))))))
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(+.f64 (*.f64 s (*.f64 c_n #s(literal 1/192 binary64))) (*.f64 s (*.f64 c_p #s(literal 1/192 binary64))))
(+.f64 (*.f64 (*.f64 s #s(literal 1/192 binary64)) c_n) (*.f64 (*.f64 s #s(literal 1/192 binary64)) c_p))
(+.f64 (*.f64 (*.f64 s #s(literal 1/192 binary64)) c_p) (*.f64 (*.f64 s #s(literal 1/192 binary64)) c_n))
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/192 binary64)) s) (*.f64 (*.f64 c_p #s(literal 1/192 binary64)) s))
(+.f64 (*.f64 c_n (*.f64 s #s(literal 1/192 binary64))) (*.f64 c_p (*.f64 s #s(literal 1/192 binary64))))
(+.f64 (*.f64 c_p (*.f64 s #s(literal 1/192 binary64))) (*.f64 c_n (*.f64 s #s(literal 1/192 binary64))))
(/.f64 (*.f64 (*.f64 s #s(literal 1/192 binary64)) (+.f64 (*.f64 c_n (*.f64 c_n c_n)) (*.f64 c_p (*.f64 c_p c_p)))) (+.f64 (*.f64 c_n c_n) (*.f64 c_p (-.f64 c_p c_n))))
(/.f64 (*.f64 (*.f64 s #s(literal 1/192 binary64)) (-.f64 (*.f64 c_n c_n) (*.f64 c_p c_p))) (-.f64 c_n c_p))
(*.f64 (+.f64 c_n c_p) (*.f64 s #s(literal 1/192 binary64)))
(*.f64 s (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (+.f64 c_n c_p) s))
(*.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)) s)
(*.f64 (*.f64 s #s(literal 1/192 binary64)) (+.f64 c_n c_p))
(*.f64 (*.f64 s (+.f64 c_n c_p)) #s(literal 1/192 binary64))
(+.f64 (*.f64 (*.f64 s s) (*.f64 c_n #s(literal 1/192 binary64))) (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/192 binary64))))
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/192 binary64)) (*.f64 s s)) (*.f64 (*.f64 c_p #s(literal 1/192 binary64)) (*.f64 s s)))
(*.f64 s (*.f64 (+.f64 c_n c_p) (*.f64 s #s(literal 1/192 binary64))))
(*.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)) (*.f64 s s))
(*.f64 (*.f64 (+.f64 c_n c_p) (*.f64 s #s(literal 1/192 binary64))) s)
(*.f64 (*.f64 s s) (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(*.f64 (*.f64 s #s(literal 1/192 binary64)) (*.f64 (+.f64 c_n c_p) s))
(*.f64 (*.f64 s (*.f64 s #s(literal 1/192 binary64))) (+.f64 c_n c_p))
(*.f64 (*.f64 (*.f64 s s) (+.f64 c_n c_p)) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) (+.f64 c_n c_p))

simplify429.0ms (0.3%)

Algorithm
egg-herbie
Rules
7090×+-lowering-+.f64
7090×+-lowering-+.f32
5514×*-lowering-*.f32
5514×*-lowering-*.f64
1614×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082213142
1314012743
0850612743
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
(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_n c_p)))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2))))))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/48 (pow (- c_n c_p) 3)) (* 1/16 (* (+ c_n c_p) (- c_n c_p)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2)))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2)))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 3)))) (* 1/2 (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2))))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* -1/2 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p)))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* 1/8 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2)))))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(* -1/2 (* s (- c_n c_p)))
(+ (* -1/2 (* s (- c_n c_p))) (* 1/2 (* t (- c_n c_p))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))
(* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))
(* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))
(+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(* -1 (* c_n (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2)))))
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
(+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))
(+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* 1/8 t) 1/2)) (/ (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))) c_p)))))
(* -1 (* c_p (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t))))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))) c_p)) (+ (* -1/2 s) (* t (+ 1/2 (* -1/8 t)))))))
(* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(* -1/2 (* s (- c_n c_p)))
(* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))
(* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))
(* s (+ (* -1/2 (- c_n c_p)) (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)))
(* -1/2 (* s (- c_n c_p)))
(* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))
(* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))
(* -1 (* s (+ (* -1 (/ (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))) s)) (* 1/2 (- c_n c_p)))))
(* 1/2 (* t (- c_n c_p)))
(* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))
(* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))
(* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))
(+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+ (* c_n (* t (+ 1/2 (* 1/8 t)))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(* c_n (* t (+ 1/2 (* 1/8 t))))
(* c_n (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))
(* c_n (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))
(* c_n (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))
(* -1 (* c_n (* t (- (* -1/8 t) 1/2))))
(* -1 (* c_n (+ (* -1 (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)) (* t (- (* -1/8 t) 1/2)))))
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(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))))
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(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
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(* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))
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(* -1/2 (* s (- c_n c_p)))
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(+ (* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))
(* c_n (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)))
(* -1 (* c_n (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2))))))))
(* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))
(* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))
(* -1 (* c_n (+ (* -1 (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))))
(* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))
(+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))
(+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))
(+ (* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))
(* c_p (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))))
(* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))
(* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))
(* c_p (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)))
(* -1 (* c_p (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))))
(* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))
(* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))
(* -1 (* c_p (+ (* -1 (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) c_p)) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))))
(* -1/2 (- c_n c_p))
(+ (* -1/2 (- c_n c_p)) (* -1/8 (* s (+ c_n c_p))))
(+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))
(+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))
(* 1/192 (* (pow s 3) (+ c_n c_p)))
(* (pow s 3) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p))))
(* (pow s 3) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))
(* (pow s 3) (+ (* -1/2 (/ (- c_n c_p) (pow s 3))) (+ (* -1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/192 (+ c_n c_p)))))
(* 1/192 (* (pow s 3) (+ c_n c_p)))
(* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow s 2))))))
(* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/2 (/ (- c_n c_p) (pow s 3)))))))
(* -1 (* (pow s 3) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow s 2))) (* 1/2 (/ (- c_n c_p) (pow s 3)))))))
(+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))
(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
(* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))
(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
(* -1 (* c_n (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))
(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
(+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))
(* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))
(* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))
(* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))
(* c_p (+ 1/2 (+ (* -1/2 (/ c_n c_p)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))) c_p)))))
(* -1 (* c_p (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))
(* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))
(* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))
(* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))) c_p)) (* s (+ 1/8 (* -1/192 (pow s 2))))) 1/2)))
1
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
1
(+ 1 (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(+ 1 (* c_p (+ (* -1 (log (* 1/2 (+ 1 (exp (neg s)))))) (* 1/2 (* c_p (pow (log (* 1/2 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (* -1 (log (* 1/2 (+ 1 (exp (neg s)))))) (* c_p (+ (* -1/6 (* c_p (pow (log (* 1/2 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (* 1/2 (+ 1 (exp (neg s))))) 2)))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
1
(+ 1 (* -1/2 s))
(+ 1 (* s (- (* 1/4 s) 1/2)))
(+ 1 (* s (- (* s (+ 1/4 (* -1/12 s))) 1/2)))
(* 1/2 (+ 1 (exp (neg s))))
(* 1/2 (+ 1 (exp (neg s))))
(* 1/2 (+ 1 (exp (neg s))))
(* 1/2 (+ 1 (exp (neg s))))
(* 1/2 (+ 1 (exp (* -1 s))))
(* 1/2 (+ 1 (exp (* -1 s))))
(* 1/2 (+ 1 (exp (* -1 s))))
(* 1/2 (+ 1 (exp (* -1 s))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
1
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(* -1 (* c_p s))
(+ (* -1 (* c_p s)) (* c_n s))
(+ (* -1 (* c_p s)) (* c_n s))
(+ (* -1 (* c_p s)) (* c_n s))
(* c_n s)
(* c_n (+ s (* -1 (/ (* c_p s) c_n))))
(* c_n (+ s (* -1 (/ (* c_p s) c_n))))
(* c_n (+ s (* -1 (/ (* c_p s) c_n))))
(* c_n s)
(* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))
(* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))
(* -1 (* c_n (+ (* -1 s) (/ (* c_p s) c_n))))
(* c_n s)
(+ (* -1 (* c_p s)) (* c_n s))
(+ (* -1 (* c_p s)) (* c_n s))
(+ (* -1 (* c_p s)) (* c_n s))
(* -1 (* c_p s))
(* c_p (+ (* -1 s) (/ (* c_n s) c_p)))
(* c_p (+ (* -1 s) (/ (* c_n s) c_p)))
(* c_p (+ (* -1 s) (/ (* c_n s) c_p)))
(* -1 (* c_p s))
(* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ s (* -1 (/ (* c_n s) c_p)))))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* s (- c_n c_p))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/8 (pow c_p 2))
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/192 c_p)
(+ (* 1/192 c_n) (* 1/192 c_p))
(+ (* 1/192 c_n) (* 1/192 c_p))
(+ (* 1/192 c_n) (* 1/192 c_p))
(* 1/192 c_n)
(* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))
(* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))
(* c_n (+ 1/192 (* 1/192 (/ c_p c_n))))
(* 1/192 c_n)
(* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))
(* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))
(* -1 (* c_n (- (* -1/192 (/ c_p c_n)) 1/192)))
(* 1/192 c_n)
(+ (* 1/192 c_n) (* 1/192 c_p))
(+ (* 1/192 c_n) (* 1/192 c_p))
(+ (* 1/192 c_n) (* 1/192 c_p))
(* 1/192 c_p)
(* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))
(* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))
(* c_p (+ 1/192 (* 1/192 (/ c_n c_p))))
(* 1/192 c_p)
(* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))
(* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))
(* -1 (* c_p (- (* -1/192 (/ c_n c_p)) 1/192)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* s (+ c_n c_p)))
(* 1/192 (* c_p s))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(* 1/192 (* c_n s))
(* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))
(* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))
(* c_n (+ (* 1/192 s) (* 1/192 (/ (* c_p s) c_n))))
(* 1/192 (* c_n s))
(* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))
(* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))
(* -1 (* c_n (+ (* -1/192 s) (* -1/192 (/ (* c_p s) c_n)))))
(* 1/192 (* c_n s))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(+ (* 1/192 (* c_n s)) (* 1/192 (* c_p s)))
(* 1/192 (* c_p s))
(* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))
(* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))
(* c_p (+ (* 1/192 s) (* 1/192 (/ (* c_n s) c_p))))
(* 1/192 (* c_p s))
(* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))
(* -1 (* c_p (+ (* -1/192 s) (* -1/192 (/ (* c_n s) c_p)))))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* (pow s 2) (+ c_n c_p)))
(* 1/192 (* c_p (pow s 2)))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(* 1/192 (* c_n (pow s 2)))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(* 1/192 (* c_n (pow s 2)))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(* 1/192 (* c_n (pow s 2)))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(* 1/192 (* c_p (pow s 2)))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(* 1/192 (* c_p (pow s 2)))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
Outputs
(exp (* -1/2 (* s (- c_n c_p))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* 1/2 (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p)))))
(+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2))))))))
(+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))))) (*.f64 (*.f64 t (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n (+.f64 c_p (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))))))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* 1/2 (* (exp (* -1/2 (* s (- c_n c_p)))) (- c_n c_p))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/48 (pow (- c_n c_p) 3)) (* 1/16 (* (+ c_n c_p) (- c_n c_p)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))))) (*.f64 t (+.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n (+.f64 c_p (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))))) (*.f64 t (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p)))) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 c_n c_p)) (-.f64 c_n c_p))))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (* 1/2 (* t (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t)))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 c_n (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2)))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))))))
(+ (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 3)))) (* 1/2 (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))) 2))))) (* (exp (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))) (*.f64 c_n (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_n) (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 s #s(literal 1/2 binary64)) (-.f64 c_p c_n)) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 s #s(literal 1/2 binary64)) (-.f64 c_p c_n)) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 s #s(literal 1/2 binary64)) (-.f64 c_p c_n)) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 s #s(literal 1/2 binary64)) (-.f64 c_p c_n)) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (*.f64 c_p (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c_p (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64))))))) (*.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2))) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) (*.f64 c_p (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 c_p (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64))))))) (*.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s c_n)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* -1/2 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p)))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* 1/8 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2)))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))) (*.f64 (*.f64 s #s(literal 1/8 binary64)) (*.f64 (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (pow (- c_n c_p) 2))))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))) (*.f64 s (+.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) s) (*.f64 (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))
(* -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_n c_p))))
(*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t)))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)))
(* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))
(*.f64 (*.f64 t t) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t t)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
(* (pow t 2) (+ (* -1/2 (/ (* s (- c_n c_p)) (pow t 2))) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t)))))
(*.f64 (*.f64 t t) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (*.f64 t t)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s (-.f64 c_n c_p))) t)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1/2 (- c_n c_p)) (* 1/2 (/ (* s (- c_n c_p)) t))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s (-.f64 c_n c_p))) t)) t)))
(+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
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(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))))
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))))
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))))
(* c_n (+ (* -1/2 s) (* t (+ 1/2 (* 1/8 t)))))
(*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))))))
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
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(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) c_n) (*.f64 t (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))) c_n))))))
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* 1/8 t))) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) c_n) (*.f64 t (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))) c_n))))))
(* -1 (* c_n (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2)))))
(-.f64 #s(literal 0 binary64) (*.f64 c_n (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
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(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_n) (-.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))))) c_n)))
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) c_n)) (+ (* 1/2 s) (* t (- (* -1/8 t) 1/2))))))
(*.f64 (-.f64 #s(literal 0 binary64) c_n) (-.f64 (+.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))))) c_n)))
(+ (* -1/2 (* c_n s)) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))
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(+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
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(+ (* -1/2 (* c_n s)) (+ (* c_p (+ (* 1/2 s) (* t (- (* 1/8 t) 1/2)))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
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(exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))
(exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
(+ (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (* 1/2 (* t (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (- c_n c_p)))))
(+.f64 (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))))
(+ (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (* t (+ (* 1/2 (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (- c_n c_p))) (* t (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2))))))))
(+.f64 (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))) (-.f64 c_n c_p)) (*.f64 t (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n (+.f64 c_p (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))))) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))))))
(+ (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (* t (+ (* 1/2 (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (- c_n c_p))) (* t (+ (* t (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (+ (* 1/48 (pow (- c_n c_p) 3)) (* 1/16 (* (+ c_n c_p) (- c_n c_p)))))) (* (exp (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))) (+ (* 1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2)))))))))
(+.f64 (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))) (-.f64 c_n c_p)) (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n (+.f64 c_p (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))))) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))) (*.f64 t (*.f64 (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 c_n c_p)) (-.f64 c_n c_p))) (exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))))))))
(exp (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* 1/2 (* t (- c_n c_p))) (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))
(exp (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* 1/2 (* t (- c_n c_p))) (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))
(exp (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* 1/2 (* t (- c_n c_p))) (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))
(exp (+ (* 1/8 (* (pow t 2) (+ c_n c_p))) (+ (* 1/2 (* t (- c_n c_p))) (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64))))))))
(+ (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (*.f64 c_n (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))
(+ (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* 1/2 (* c_n (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))) 2)))) (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (*.f64 (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))))))))
(+ (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))) 3)))) (* 1/2 (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (pow (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))) 2))))) (* (exp (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))) (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t))))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))) (*.f64 c_n (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 c_n (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64))))))))) (*.f64 (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))) (*.f64 (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* 1/2 (+ c_p (* -1 c_n))) (* s (+ (* -1/8 (- c_p (* -1 c_n))) (* 1/192 (* (pow s 2) (- c_p (* -1 c_n)))))))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 s (+.f64 (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* s (+ (* 1/2 (+ c_p (* -1 c_n))) (* s (+ (* -1/8 (- c_p (* -1 c_n))) (* 1/192 (* (pow s 2) (- c_p (* -1 c_n)))))))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 s (+.f64 (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* s (+ (* 1/2 (+ c_p (* -1 c_n))) (* s (+ (* -1/8 (- c_p (* -1 c_n))) (* 1/192 (* (pow s 2) (- c_p (* -1 c_n)))))))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 s (+.f64 (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* s (+ (* 1/2 (+ c_p (* -1 c_n))) (* s (+ (* -1/8 (- c_p (* -1 c_n))) (* 1/192 (* (pow s 2) (- c_p (* -1 c_n)))))))) (* t (+ (* -1/2 (+ c_p (* -1 c_n))) (* 1/8 (* t (- c_p (* -1 c_n))))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 s (+.f64 (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n))))))
(exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n)))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s)))))))))
(+ (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 c_p (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))
(+ (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2))) 2)))) (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))))))
(+ (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2))) 3)))) (* 1/2 (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (pow (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2))) 2))))) (* (exp (+ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) (+ (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (* t (- (* 1/8 t) 1/2)))))))
(+.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))) (*.f64 c_p (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) c_n) t) (*.f64 c_n #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s))))))))) (*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (+ c_n (* -1 c_p))) (* s (+ (* -1/8 (- c_n (* -1 c_p))) (* 1/192 (* (pow s 2) (- c_n (* -1 c_p)))))))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (+ c_n (* -1 c_p))) (* s (+ (* -1/8 (- c_n (* -1 c_p))) (* 1/192 (* (pow s 2) (- c_n (* -1 c_p)))))))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (+ c_n (* -1 c_p))) (* s (+ (* -1/8 (- c_n (* -1 c_p))) (* 1/192 (* (pow s 2) (- c_n (* -1 c_p)))))))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (+ c_n (* -1 c_p))) (* s (+ (* -1/8 (- c_n (* -1 c_p))) (* 1/192 (* (pow s 2) (- c_n (* -1 c_p)))))))) (* t (+ (* 1/8 (* t (- c_n (* -1 c_p)))) (* 1/2 (+ c_n (* -1 c_p)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* -1/2 (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p)))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2))))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))) (*.f64 s (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64))))))))
(+ (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (* s (+ (* -1/2 (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (- c_n c_p))) (* s (+ (* s (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (+ (* -1/48 (pow (- c_n c_p) 3)) (* 1/16 (* (+ c_n c_p) (- c_n c_p)))))) (* (exp (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (pow (- c_n c_p) 2)))))))))
(+.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))))) (*.f64 s (+.f64 (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) (*.f64 s (*.f64 (exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 c_n c_p)) (-.f64 c_n c_p)) (*.f64 (*.f64 (-.f64 c_n c_p) (*.f64 (-.f64 c_n c_p) (-.f64 c_n c_p))) #s(literal -1/48 binary64))))))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* -1/8 (* (pow s 2) (+ c_n c_p))) (+ (* 1/192 (* (pow s 4) (+ c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (+.f64 (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 s s)) (*.f64 #s(literal 1/192 binary64) (pow.f64 s #s(literal 4 binary64))))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* -1/8 (* (pow s 2) (+ c_n c_p))) (+ (* 1/192 (* (pow s 4) (+ c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (+.f64 (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 s s)) (*.f64 #s(literal 1/192 binary64) (pow.f64 s #s(literal 4 binary64))))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* -1/8 (* (pow s 2) (+ c_n c_p))) (+ (* 1/192 (* (pow s 4) (+ c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (+.f64 (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 s s)) (*.f64 #s(literal 1/192 binary64) (pow.f64 s #s(literal 4 binary64))))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))))
(exp (+ (* -1/2 (* s (- c_n c_p))) (+ (* -1/8 (* (pow s 2) (+ c_n c_p))) (+ (* 1/192 (* (pow s 4) (+ c_n c_p))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))) (+.f64 (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 s s)) (*.f64 #s(literal 1/192 binary64) (pow.f64 s #s(literal 4 binary64))))) (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(exp (+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))))
(* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p)))))))
(*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))))
(+ (* 1/2 (* t (- c_n c_p))) (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 c_n c_p) t)) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
(+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
(+ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (* t (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 (- c_n c_p)))))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 c_n c_p))) (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (+ (* 1/2 (/ (- c_n c_p) t)) (/ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))) t) (/.f64 s t)))))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (+ (* 1/2 (/ (- c_n c_p) t)) (/ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) (pow t 2)))))
(*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))))) t) (/.f64 s t)))))
(* 1/8 (* (pow t 2) (+ c_n c_p)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 c_n c_p))
(* (pow t 2) (+ (* 1/8 (+ c_n c_p)) (* 1/2 (/ (- c_n c_p) t))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (*.f64 (-.f64 c_n c_p) #s(literal 1/2 binary64)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) t)) (* -1/2 (- c_n c_p))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (/.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) t)) t)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* s (+ (* -1/2 (- c_n c_p)) (* s (+ (* -1/8 (+ c_n c_p)) (* 1/192 (* (pow s 2) (+ c_n c_p))))))) t)) (* -1/2 (- c_n c_p))) t)) (* 1/8 (+ c_n c_p))))
(*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (/.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))) t)) t)))
(+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))))
(+ (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t))))) (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))
(+ (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t))))) (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))
(+ (* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t))))) (+ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))))
(+.f64 (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))) (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))) (*.f64 c_n (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* t (+ 1/2 (* 1/8 t)))))
(*.f64 c_n (+.f64 (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
(*.f64 c_n (+.f64 (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 t (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c_p) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t))) c_n))) (/.f64 (*.f64 s (+.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64)))))) c_n))))
(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
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(* c_n (+ (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (+ (* t (+ 1/2 (* 1/8 t))) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))) c_n) (/ (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))) c_n)))))
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(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
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(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
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(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))
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(* c_n (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))
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(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
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(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
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(* c_n (- (+ (* 1/2 (/ c_p c_n)) (+ (* s (- (* 1/192 (pow s 2)) 1/8)) (/ (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))) c_n))) 1/2))
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(* -1 (* c_n (+ 1/2 (* s (+ 1/8 (* -1/192 (pow s 2)))))))
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(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
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(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
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(* -1 (* c_n (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))) c_n)) (* s (+ 1/8 (* -1/192 (pow s 2))))))))
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(+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))
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(* c_p (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* c_p s)))
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(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (* -1 s))))))))
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1
#s(literal 1 binary64)
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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(exp (* -1 (* c_p (log (* 1/2 (+ 1 (exp (neg s))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 s))
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(+ 1 (* s (- (* 1/4 s) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* s (- (* s (+ 1/4 (* -1/12 s))) 1/2)))
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(* 1/2 (+ 1 (exp (neg s))))
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(* 1/2 (+ 1 (exp (neg s))))
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(* 1/2 (+ 1 (exp (neg s))))
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(* 1/2 (+ 1 (exp (neg s))))
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(*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s)))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(*.f64 c_n (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(*.f64 c_n (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* c_n (+ (* 1/192 (/ (* c_p (pow s 2)) c_n)) (* 1/192 (pow s 2))))
(*.f64 c_n (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* 1/192 (* c_n (pow s 2)))
(*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s)))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) c_n) (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) c_n) (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* -1 (* c_n (+ (* -1/192 (/ (* c_p (pow s 2)) c_n)) (* -1/192 (pow s 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) c_n) (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_p (*.f64 s s)) c_n) (*.f64 s s))))
(* 1/192 (* c_n (pow s 2)))
(*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 s s)))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(*.f64 (*.f64 s s) (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(*.f64 (*.f64 s s) (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(+ (* 1/192 (* c_n (pow s 2))) (* 1/192 (* c_p (pow s 2))))
(*.f64 (*.f64 s s) (*.f64 (+.f64 c_n c_p) #s(literal 1/192 binary64)))
(* 1/192 (* c_p (pow s 2)))
(*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(*.f64 c_p (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s))))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(*.f64 c_p (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s))))
(* c_p (+ (* 1/192 (/ (* c_n (pow s 2)) c_p)) (* 1/192 (pow s 2))))
(*.f64 c_p (*.f64 #s(literal 1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s))))
(* 1/192 (* c_p (pow s 2)))
(*.f64 (*.f64 c_p (*.f64 s s)) #s(literal 1/192 binary64))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 c_p (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s)))))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 c_p (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s)))))
(* -1 (* c_p (+ (* -1/192 (/ (* c_n (pow s 2)) c_p)) (* -1/192 (pow s 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 c_p (*.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 (*.f64 c_n (*.f64 s s)) c_p) (*.f64 s s)))))

eval154.0ms (0.1%)

Compiler

Compiled 43911 to 2720 computations (93.8% saved)

prune134.0ms (0.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New116681174
Fresh404
Picked325
Done011
Total1173111184
Accuracy
100.0%
Counts
1184 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c_p))
94.7%
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) #s(literal 1 binary64))
94.7%
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))))
94.8%
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
3.6%
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))
3.7%
(*.f64 #s(literal -1/2 binary64) (*.f64 s c_n))
99.9%
(exp.f64 (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t))))
95.2%
(exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
96.1%
(exp.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))
99.4%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
94.8%
#s(literal 1 binary64)
Compiler

Compiled 724 to 298 computations (58.8% saved)

regimes99.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 s c_n))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(exp.f64 (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t))))
(exp.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/8 binary64)))))))
(exp.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))))
(exp.f64 (*.f64 s (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 s (*.f64 (+.f64 c_n c_p) (+.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) #s(literal -1/8 binary64)))))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s))))
(exp.f64 (+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 c_n c_p)) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))) (*.f64 s (+.f64 (*.f64 s (+.f64 (*.f64 s (*.f64 s (*.f64 #s(literal 1/192 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.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 (-.f64 #s(literal 0 binary64) t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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)))
(exp.f64 (-.f64 (+.f64 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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) (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 (+.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))) (+.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))))
Outputs
(exp.f64 (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t))))
Calls

13 calls:

10.0ms
c_n
9.0ms
(neg.f64 s)
8.0ms
(neg.f64 t)
8.0ms
s
8.0ms
c_p
Results
AccuracySegmentsBranch
99.9%1c_p
99.9%1c_n
99.9%1t
99.9%1s
99.9%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)))
99.9%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
99.9%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
99.9%1(exp.f64 (neg.f64 s))
99.9%1(neg.f64 s)
99.9%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
99.9%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
99.9%1(exp.f64 (neg.f64 t))
99.9%1(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes16.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 s c_n))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
Outputs
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
Calls

4 calls:

6.0ms
t
3.0ms
c_n
3.0ms
s
3.0ms
c_p
Results
AccuracySegmentsBranch
99.4%1c_p
99.4%1c_n
99.4%1t
99.4%1s
Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0%)

Accuracy

Total -58.7b remaining (-1757.1%)

Threshold costs -58.7b (-1757.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 s c_n))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 s #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))
(+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 c_p (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)))))))
Outputs
#s(literal 1 binary64)
Calls

4 calls:

5.0ms
t
3.0ms
s
3.0ms
c_n
3.0ms
c_p
Results
AccuracySegmentsBranch
94.8%1c_p
94.8%1c_n
94.8%1t
94.8%1s
Compiler

Compiled 20 to 16 computations (20% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621
12721
23121
33321
43421
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
#s(literal 1 binary64)
Outputs
(exp.f64 (*.f64 (-.f64 c_n c_p) (+.f64 (*.f64 #s(literal -1/2 binary64) s) (*.f64 #s(literal 1/2 binary64) t))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 s (-.f64 c_n c_p))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 c_n c_p) s)))
#s(literal 1 binary64)

soundness1.6s (1.1%)

Rules
7090×+-lowering-+.f64
7090×+-lowering-+.f32
6018×*-lowering-*.f32
6018×*-lowering-*.f64
5514×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02287
113687
2103982
0845282
04055603
113235002
251694973
082324973
091413683
1310812953
0846412953
082213142
1314012743
0850612743
068210700
122529934
084639934
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 70 to 54 computations (22.9% saved)

preprocess42.0ms (0%)

Compiler

Compiled 202 to 116 computations (42.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...