Harley's example

Time bar (total: 2.5min)

analyze950.0ms (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: 620.0ms
ival-pow: 347.0ms (56% of total)
ival-div: 70.0ms (11.3% of total)
ival-mult: 45.0ms (7.3% of total)
ival-exp: 39.0ms (6.3% of total)
ival-add: 38.0ms (6.1% of total)
ival-sub: 28.0ms (4.5% of total)
ival-neg: 28.0ms (4.5% of total)
ival-<: 18.0ms (2.9% of total)
ival-and: 3.0ms (0.5% of total)
const: 3.0ms (0.5% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.2min (87.3%)

Results
1.8min15159×5exit
11.8s38766×0unsamplable
1.8s8047×0valid
375.0ms5valid
178.0ms12×4valid
137.0ms23×3valid
118.0ms147×1valid
52.0ms68×1unsamplable
30.0ms19×2valid
12.0ms3unsamplable
6.0ms2unsamplable
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 1.7min (85.4% of total)
ival-div: 4.3s (3.7% of total)
ival-add: 2.4s (2.1% of total)
ival-exp: 2.3s (1.9% of total)
backward-pass: 2.3s (1.9% of total)
ival-mult: 1.9s (1.6% of total)
ival-sub: 1.8s (1.5% of total)
ival-neg: 1.3s (1.1% of total)
ival-<: 612.0ms (0.5% of total)
const: 176.0ms (0.1% of total)
ival-and: 87.0ms (0.1% of total)
Bogosity

preprocess120.0ms (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))))

explain596.0ms (0.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(/.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)))
63(967.7494274668727 1.611984858697013e-96 2.0131540118526514e-200 -1.4289735492293055e+68)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
45(0.004592485762305744 1.8368885652101533e-251 -5.993107596612546e-227 -1.4591504525317687e+259)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
31(31.54805109192525 1.582163840569008e-112 4.952064097710001 -1.2742362346545775e-6)0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
15(1.280357210421051e-49 439.75240055102716 -2.6148148423762186e-46 4.941258796518938e-68)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)
02(1.280357210421051e-49 439.75240055102716 -2.6148148423762186e-46 4.941258796518938e-68)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(3.411673393419598e-221 2.201648527230128e-145 7.422931198002123e-94 -247.0577319577937)0-(exp.f64 (neg.f64 s))
00-0-(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
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
170.0ms5valid
144.0ms490×0valid
15.0ms20×1valid
Compiler

Compiled 421 to 68 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-pow: 209.0ms (75.9% of total)
ival-div: 25.0ms (9.1% of total)
ival-add: 11.0ms (4% of total)
ival-exp: 10.0ms (3.6% of total)
ival-mult: 7.0ms (2.5% of total)
ival-neg: 6.0ms (2.2% of total)
ival-sub: 6.0ms (2.2% of total)
backward-pass: 2.0ms (0.7% of total)
const: 1.0ms (0.4% 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
91.1%
(/.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)))
Compiler

Compiled 47 to 22 computations (53.2% saved)

simplify36.0ms (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)))))

localize199.0ms (0.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy98.5%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy97.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy95.8%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Results
74.0ms5valid
67.0ms245×0valid
21.0ms10×1valid
Compiler

Compiled 187 to 23 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-pow: 104.0ms (76% of total)
ival-div: 14.0ms (10.2% of total)
ival-exp: 5.0ms (3.7% of total)
ival-mult: 4.0ms (2.9% of total)
ival-neg: 3.0ms (2.2% of total)
ival-sub: 3.0ms (2.2% of total)
ival-add: 3.0ms (2.2% of total)
backward-pass: 1.0ms (0.7% of total)
const: 0.0ms (0% of total)

series453.0ms (0.3%)

Counts
7 → 144
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)))))>
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)))))>
Calls

36 calls:

TimeVariablePointExpression
111.0ms
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)))
83.0ms
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)))
70.0ms
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)))
37.0ms
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)))
33.0ms
s
@inf
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)

rewrite334.0ms (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
02277
113677
2103972
0845272
Stop Event
iter limit
node limit
Counts
7 → 378
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)))))
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))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (*.f64 #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 (neg.f64 (/.f64 c_p #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (+.f64 (neg.f64 (/.f64 c_p #s(literal 2 binary64))) (neg.f64 (/.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 2 binary64) (neg.f64 (/.f64 c_p #s(literal 2 binary64)))))
(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) (exp.f64 s)))) (+.f64 (/.f64 c_p #s(literal 2 binary64)) (/.f64 c_p #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p)))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (*.f64 (/.f64 c_p #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.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)))
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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)))))))

simplify339.0ms (0.2%)

Algorithm
egg-herbie
Rules
5312×*-lowering-*.f32
5312×*-lowering-*.f64
1814×+-lowering-+.f64
1814×+-lowering-+.f32
1544×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03725273
112114689
247584660
083174660
Stop Event
iter limit
node limit
Counts
144 → 144
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))
(+ (* 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)))
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))
(/ (* (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 (* (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))))
(+ (* 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))))
(+ (* 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))))
(/ (* (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 (* -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)))
(/ (* (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)))
(/ (* (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)))
(/ (* (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)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg 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)))
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(/ (* (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 (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 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(+ (* 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)))
(+ (* 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)))
(+ (* 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)))
(/ (* (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 (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 1/2 c_n) (pow 1/2 c_p)))
(+ (* -1 (/ (* t (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* -1 (* t (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(pow 1/2 c_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)))))
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(literal 1/2 binary64) (*.f64 c_p (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s))))
(+ (* 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 #s(literal 1/8 binary64) (*.f64 c_p 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))
(+.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 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 s (+.f64 (*.f64 c_p (*.f64 c_p #s(literal -1/16 binary64))) (*.f64 (*.f64 c_p c_p) (*.f64 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)
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(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))

eval312.0ms (0.2%)

Compiler

Compiled 37587 to 2353 computations (93.7% saved)

prune362.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6359644
Fresh000
Picked101
Done000
Total6369645
Accuracy
99.8%
Counts
645 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.0%
(/.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) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
92.7%
(/.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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
91.1%
(/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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.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)))
91.1%
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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)))
91.1%
(/.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 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 t #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) t)) (exp.f64 t)))) (-.f64 #s(literal 0 binary64) 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)))
91.1%
(/.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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
92.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #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)))
89.5%
(/.f64 (*.f64 (+.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 #s(literal 1/8 binary64) (*.f64 c_p 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)))
95.2%
(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 824 to 496 computations (39.8% saved)

simplify204.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff6272
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)))
cost-diff6336
(*.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n))
cost-diff19264
(/.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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p))
cost-diff128
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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))
cost-diff6592
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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.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))
cost-diff13184
(/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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.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)))
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-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) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
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
2042×fnmadd-define
1738×fma-lowering-fma.f32
1738×fmm-def
1738×fma-lowering-fma.f64
1402×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
071812
1166808
2381802
3940743
42468735
54842735
67802735
08100735
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 (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp t)))) c_p)
(/ 1 (+ 1 (/ 1 (exp t))))
(+ 1 (/ 1 (exp t)))
(/ 1 (exp t))
(exp t)
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 (exp (- 0 s))) (- 0 c_p)) (/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n)))
(pow (+ 1 (exp (- 0 s))) (- 0 c_p))
(+ 1 (exp (- 0 s)))
1
(exp (- 0 s))
(- 0 s)
0
s
(- 0 c_p)
c_p
(/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n))
(* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n))
(pow (+ 1 (exp (- 0 t))) (- 0 c_p))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
t
(pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)
(+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))
(/ 1 (+ -1 (/ -1 (exp t))))
(+ -1 (/ -1 (exp t)))
-1
(/ -1 (exp t))
(exp t)
c_n
(pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n)
(+ 1 (/ 1 (+ -1 (/ -1 (exp s)))))
(/ 1 (+ -1 (/ -1 (exp s))))
(+ -1 (/ -1 (exp s)))
(/ -1 (exp s))
(exp s)
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (exp (neg (* (log (+ 1 (exp (- 0 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
(* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p)))
(neg (* (log (+ 1 (exp (- 0 t)))) c_p))
(* (log (+ 1 (exp (- 0 t)))) c_p)
(log (+ 1 (exp (- 0 t))))
(exp (- 0 t))
(- 0 t)
0
t
(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)
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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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 (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 s))))))
c_n
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
(/ 1 (+ -1 (/ -1 (exp 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 (/ -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 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(neg (* (log (+ 1 (exp (- 0 s)))) c_p))
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
(* (log (+ 1 (exp (- 0 s)))) c_p)
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)
(log (+ 1 (exp (- 0 s))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (- 0 s))
(/.f64 #s(literal 1 binary64) (exp.f64 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 (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
(/ 1 (+ 1 (exp (- 0 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 (- 0 s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(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
c_p
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (/ 1 (exp t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(exp t)
(exp.f64 t)
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) (/.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)))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) 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
(* 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 (exp (- 0 s))) (- 0 c_p)) (/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n)))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) c_n))
(pow (+ 1 (exp (- 0 s))) (- 0 c_p))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
(+ 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
(- 0 c_p)
(-.f64 #s(literal 0 binary64) c_p)
c_p
(/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n))
(/.f64 (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) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))
(* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n))
(/.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))
(pow (+ 1 (exp (- 0 t))) (- 0 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 (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 (+ -1 (/ -1 (exp 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 (/ -1 (exp 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 (/ -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
#s(literal -1 binary64)
(/ -1 (exp t))
(/.f64 #s(literal -1 binary64) (exp.f64 t))
(exp t)
(exp.f64 t)
c_n
(pow (+ 1 (/ 1 (+ -1 (/ -1 (exp 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 (/ -1 (exp s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
(/ 1 (+ -1 (/ -1 (exp s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))
(+ -1 (/ -1 (exp s)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))
(/ -1 (exp s))
(/.f64 #s(literal -1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) 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) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) 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
(* (exp (neg (* (log (+ 1 (exp (- 0 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) (+.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) t))) c_p))
(exp (neg (* (log (+ 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))
(neg (* (log (+ 1 (exp (- 0 t)))) c_p))
(*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #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)
0
#s(literal 0 binary64)
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)))))
(/ 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)

localize3.2s (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
accuracy99.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))
accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))
accuracy99.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
accuracy99.9%
(-.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 (-.f64 #s(literal 0 binary64) s)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 t))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
accuracy100.0%
(*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
accuracy99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
accuracy99.7%
(-.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)))))))
accuracy99.7%
(+.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
2.9s236×5exit
11.0ms12×0valid
8.0ms0unsamplable
Compiler

Compiled 958 to 72 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-exp: 1.1s (45.4% of total)
ival-pow: 322.0ms (13% of total)
backward-pass: 304.0ms (12.2% of total)
ival-div: 185.0ms (7.5% of total)
compiled-spec: 182.0ms (7.3% of total)
ival-add: 114.0ms (4.6% of total)
ival-mult: 99.0ms (4% of total)
ival-sub: 79.0ms (3.2% of total)
ival-log: 36.0ms (1.4% of total)
ival-neg: 30.0ms (1.2% of total)
const: 5.0ms (0.2% of total)

series776.0ms (0.5%)

Counts
30 → 804
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 (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) 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 (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 (exp (- 0 s))) (- 0 c_p)) (/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n)))>
#<alt (/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n))>
#<alt (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n))>
#<alt (pow (+ 1 (exp (- 0 s))) (- 0 c_p))>
#<alt (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p)))>
#<alt (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))>
#<alt (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (exp t))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))>
#<alt (pow (+ 1 (exp (- 0 t))) (- 0 c_p))>
#<alt (/ 1 (+ -1 (/ -1 (exp t))))>
#<alt (+ 1 (/ 1 (+ -1 (/ -1 (exp s)))))>
Outputs
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#<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)))))))))))>
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#<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))))))>
#<alt (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))>
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#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1 (* c_n (- (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))>
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#<alt (* -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))))))))))>
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#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -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 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))>
#<alt (exp (* -1 (* c_p (log 2))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* t (exp (* -1 (* c_p (log 2))))))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (+ (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (+ 1 (exp (neg t)))) 2))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (exp (neg t)))) 3))) (* 1/2 (pow (log (+ 1 (exp (neg t)))) 2)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* 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 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
Calls

201 calls:

TimeVariablePointExpression
293.0ms
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))))
78.0ms
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))))
46.0ms
c_n
@0
(- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
46.0ms
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))))
44.0ms
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))))

rewrite502.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
3170×*-lowering-*.f32
3170×*-lowering-*.f64
2184×pow-lowering-pow.f64
2184×pow-lowering-pow.f32
1880×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071433
1506417
23972411
08963411
Stop Event
iter limit
node limit
Counts
30 → 1202
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 (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
(+ 1 (exp (- 0 s)))
(/ (* (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 (exp (- 0 s))) (- 0 c_p)) (/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n)))
(/ (* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) c_n))
(* (pow (+ 1 (exp (- 0 t))) (- 0 c_p)) (pow (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))) c_n))
(pow (+ 1 (exp (- 0 s))) (- 0 c_p))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(exp (neg (* (log (+ 1 (exp (- 0 t)))) c_p)))
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (exp t))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(/ 1 (+ 1 (exp (neg t))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))
(pow (+ 1 (exp (- 0 t))) (- 0 c_p))
(/ 1 (+ -1 (/ -1 (exp t))))
(+ 1 (/ 1 (+ -1 (/ -1 (exp s)))))
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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.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 (+.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 #s(literal 0 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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p)))))
(neg.f64 (/.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 #s(literal 0 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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 s))))) c_n))))
(neg.f64 (/.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) (/.f64 #s(literal -1 binary64) (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) (+.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) (exp.f64 t))) c_p))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)) (/.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 t))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))))))
(/.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 (+.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) (exp.f64 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 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 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))))) c_n) (*.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) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 t))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))))
(/.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 (+.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) (exp.f64 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 s))))) c_n)))
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))
(/.f64 (*.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 (+.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) (+.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) (exp.f64 t))) c_p)))
(/.f64 (/.f64 (*.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 (+.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p)))
(/.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 c_p (log.f64 (*.f64 (/.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) (exp.f64 t)))))))) #s(literal 1 binary64))
(/.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) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (-.f64 #s(literal 0 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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 c_p #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)) (expm1.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 #s(literal 2 binary64) (/.f64 c_p #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t))))) (*.f64 #s(literal 2 binary64) (/.f64 c_p #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) (*.f64 #s(literal 2 binary64) (/.f64 c_p #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) (/.f64 c_p #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) (/.f64 c_p #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c_p) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c_p) #s(literal 2 binary64)) #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) (exp.f64 t)))) (/.f64 (/.f64 c_p #s(literal 2 binary64)) #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) (exp.f64 t)))) (/.f64 (/.f64 c_p #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(neg.f64 (/.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 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(pow.f64 (+.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) (exp.f64 t)))))
(*.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) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)) (expm1.f64 (-.f64 #s(literal 0 binary64) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)) (expm1.f64 (-.f64 #s(literal 0 binary64) t))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t))))) (pow.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) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) #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) s)))))
(-.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -3 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 #s(literal 1 binary64) (/.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) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) #s(literal 1 binary64))
(fma.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 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) s) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) (expm1.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) s) (-.f64 #s(literal 0 binary64) s))))) (+.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #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) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -3 binary64)))))
(/.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))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -3 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -3 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -3 binary64)))) (neg.f64 (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)))) (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)))))))
(/.f64 (neg.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)))) (neg.f64 (+.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 #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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.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 #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) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #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) s))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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 s))) #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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) (+.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #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) s)))))))

simplify605.0ms (0.4%)

Algorithm
egg-herbie
Rules
5088×*-lowering-*.f32
5088×*-lowering-*.f64
3042×+-lowering-+.f64
3042×+-lowering-+.f32
1430×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0154527005
1590925854
0813325854
Stop Event
iter limit
node limit
Counts
804 → 804
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)))))
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(exp (neg (* c_p (log (+ 1 (exp (neg t)))))))
(exp (neg (* c_p (log (+ 1 (exp (neg t)))))))
(log 1/2)
(+ (log 1/2) (* -1/2 t))
(+ (log 1/2) (* t (- (* -1/8 t) 1/2)))
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log 1/2))
(+ (* -1/2 (* c_n t)) (* c_n (log 1/2)))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* -1/8 (* c_n t)))))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* t (+ (* -1/8 c_n) (* 1/192 (* c_n (pow t 2))))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 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 (/ 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
(+ 1 (* -1 t))
(+ 1 (* t (- (* 1/2 t) 1)))
(+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp 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)))))
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 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
(+ 1/2 (* -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 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp t)))))
(exp (* -1 (* c_p (log 2))))
(+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* t (exp (* -1 (* c_p (log 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (+ (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
1
(+ 1 (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (+ 1 (exp (neg t)))) 2))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (exp (neg t)))) 3))) (* 1/2 (pow (log (+ 1 (exp (neg t)))) 2)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* 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 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 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
Outputs
(exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (*.f64 (*.f64 c_n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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)))))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (*.f64 c_n (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.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 1/2 binary64) (*.f64 (*.f64 c_n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))) (pow.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.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)))))))
(+ (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)))))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (*.f64 c_n (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.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 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 c_n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))) (pow.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.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 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))) (pow.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.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))))))))
(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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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))))))))
(/.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) (exp.f64 t))) c_p)) (*.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))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) 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)))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (exp.f64 (*.f64 c_n (log.f64 #s(literal 1/2 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))))) c_n) (pow.f64 #s(literal 2 binary64) 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 (* (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)))))
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(+.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) (/.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 (/ 1 (exp t))))
(/.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 (/ 1 (exp t))))
(/.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 (/ 1 (exp t))))
(/.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))))
1/2
#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 (- (* 1/48 (pow s 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 (*.f64 (*.f64 s s) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 s s) #s(literal -1/480 binary64)))) #s(literal -1/4 binary64))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))

eval395.0ms (0.3%)

Compiler

Compiled 123812 to 5429 computations (95.6% saved)

prune307.0ms (0.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New2340162356
Fresh404
Picked505
Done000
Total2349162365
Accuracy
100.0%
Counts
2365 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
94.5%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
94.1%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
87.0%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (*.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
5.1%
(/.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) c_p))
93.0%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))
89.4%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
91.3%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
91.1%
(/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)) (/.f64 c_p #s(literal 2 binary64))) (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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
90.3%
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
91.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
96.4%
(exp.f64 (-.f64 (+.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (+.f64 (*.f64 c_n #s(literal -1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 c_p #s(literal -1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) c_p)))) (+.f64 (*.f64 c_n (log.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_p (log.f64 #s(literal 2 binary64))))))
96.4%
(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 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p s)) (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64)))))))
96.5%
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (+.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))))
94.9%
(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
93.1%
#s(literal 1 binary64)
Compiler

Compiled 994 to 690 computations (30.6% saved)

simplify202.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p s)) (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64)))))
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-diff256
(+.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 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p s)) (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64))))))
cost-diff12672
(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 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p s)) (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64)))))))
cost-diff0
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))
cost-diff0
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))
cost-diff0
(*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
cost-diff12608
(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p)
cost-diff0
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
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-diff256
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))))
cost-diff448
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (+.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-diff12992
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (+.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
2256×+-lowering-+.f64
2256×+-lowering-+.f32
1982×*-lowering-*.f32
1982×*-lowering-*.f64
1774×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
073575
1182555
2424547
31272531
44324530
08266530
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))
(+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
(* 1/2 (* t c_n))
1/2
(* t c_n)
t
c_n
(* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))
(- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
1
(/ 1 (+ 1 (/ 1 (exp s))))
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(exp s)
s
(log 1/2)
(+ (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)
1
(/ (pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p)
(/ 1 (+ 2 (* s (+ (* s 1/2) -1))))
1
(+ 2 (* s (+ (* s 1/2) -1)))
2
(* s (+ (* s 1/2) -1))
s
(+ (* s 1/2) -1)
(* s 1/2)
1/2
-1
c_p
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(/ 1 (+ 1 (/ 1 (exp t))))
(+ 1 (/ 1 (exp t)))
(/ 1 (exp t))
(exp t)
t
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s))))))
c_p
(- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))
(log (+ 1 (/ 1 (exp t))))
(/ 1 (exp t))
1
(exp t)
t
(log (+ 1 (/ 1 (exp s))))
(/ 1 (exp s))
(exp s)
s
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))))
(- (* 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
(+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))
(* 1/2 (* c_p s))
1/2
(* c_p s)
c_p
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(log (+ 1 (/ 1 (exp t))))
(/ 1 (exp t))
(log 2)
2
Outputs
(exp (+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(/.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (+.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 (+.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)))) c_p))
(+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (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) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
(+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
(*.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))))
(* 1/2 (* t c_n))
(*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))
1/2
#s(literal 1/2 binary64)
(* t c_n)
(*.f64 t c_n)
t
c_n
(* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (log.f64 #s(literal 1/2 binary64))))
(- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (log.f64 #s(literal 1/2 binary64)))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
1
#s(literal 1 binary64)
(/ 1 (+ 1 (/ 1 (exp s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(/ 1 (exp s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (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 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(neg (* (log (+ 1 (exp (- 0 s)))) c_p))
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
(* (log (+ 1 (exp (- 0 s)))) c_p)
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)
(log (+ 1 (exp (- 0 s))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (- 0 s))
(/.f64 #s(literal 1 binary64) (exp.f64 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)
1
#s(literal 1 binary64)
(/ (pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))) c_p)
(/ 1 (+ 2 (* s (+ (* s 1/2) -1))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 2 (* s (+ (* s 1/2) -1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))
2
#s(literal 2 binary64)
(* s (+ (* s 1/2) -1))
(*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))
s
(+ (* s 1/2) -1)
(+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))
(* s 1/2)
(*.f64 #s(literal 1/2 binary64) s)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
c_p
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (/ 1 (exp t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(exp t)
(exp.f64 t)
t
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s))))))
(*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
c_p
(- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))
(log (+ 1 (/ 1 (exp t))))
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
1
#s(literal 1 binary64)
(exp t)
(exp.f64 t)
t
(log (+ 1 (/ 1 (exp s))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(/ 1 (exp s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))))
(/.f64 (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 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) (/.f64 (exp.f64 (*.f64 s (*.f64 c_p #s(literal -1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) #s(literal 1/2 binary64))) c_p)))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))))
(-.f64 (*.f64 c_p (+.f64 (*.f64 #s(literal 1/2 binary64) s) (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 s))))))
c_n
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
(/ 1 (+ -1 (/ -1 (exp 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 (/ -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
(+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))
(*.f64 c_p (+.f64 (*.f64 #s(literal 1/2 binary64) s) (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))
(* 1/2 (* c_p s))
(*.f64 s (*.f64 #s(literal 1/2 binary64) c_p))
1/2
#s(literal 1/2 binary64)
(* c_p s)
(*.f64 s c_p)
c_p
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))
(*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (/ 1 (exp t))))
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize3.2s (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
accuracy99.9%
(-.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)))))))
accuracy99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
accuracy99.9%
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))
accuracy100.0%
(*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
accuracy100.0%
(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
accuracy99.9%
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 t))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p)
accuracy100.0%
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
accuracy100.0%
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (+.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))))
accuracy99.9%
(+.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))
accuracy98.4%
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64)))
Results
3.0s243×5exit
7.0ms1valid
6.0ms0unsamplable
1.0ms0valid
Compiler

Compiled 675 to 70 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-exp: 764.0ms (28.8% of total)
backward-pass: 569.0ms (21.4% of total)
ival-log: 510.0ms (19.2% of total)
ival-div: 187.0ms (7% of total)
ival-mult: 163.0ms (6.1% of total)
compiled-spec: 145.0ms (5.5% of total)
ival-add: 111.0ms (4.2% of total)
ival-sub: 76.0ms (2.9% of total)
ival-pow: 63.0ms (2.4% of total)
ival-neg: 58.0ms (2.2% of total)
const: 7.0ms (0.3% of total)

series567.0ms (0.4%)

Counts
24 → 648
Calls
Call 1
Inputs
#<alt (exp (+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))>
#<alt (+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))>
#<alt (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))>
#<alt (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p)>
#<alt (/ 1 (+ 2 (* s (+ (* s 1/2) -1))))>
#<alt (+ 2 (* s (+ (* s 1/2) -1)))>
#<alt (exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))>
#<alt (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s))))))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))>
#<alt (log (+ 1 (/ 1 (exp t))))>
#<alt (exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))))>
#<alt (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))))>
#<alt (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))>
#<alt (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))>
#<alt (log (+ 1 (exp (- 0 t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (exp t))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))>
#<alt (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))>
Outputs
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 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)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 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)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (* c_p (+ (* -1/2 c_p) (* 1/2 c_n)))) (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))>
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#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (* -1/2 t)>
#<alt (* t (- (* 1/8 t) 1/2))>
#<alt (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))>
#<alt (* t (- (* t (+ 1/8 (* (pow t 2) (- (* 1/2880 (pow t 2)) 1/192)))) 1/2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (- (log (+ 1 (/ 1 (exp t)))) (log 2))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 t))>
#<alt (+ (log 1/2) (* t (- (* -1/8 t) 1/2)))>
#<alt (+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log 1/2))>
#<alt (+ (* -1/2 (* c_n t)) (* c_n (log 1/2)))>
#<alt (+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* -1/8 (* c_n t)))))>
#<alt (+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* t (+ (* -1/8 c_n) (* 1/192 (* c_n (pow t 2))))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
Calls

162 calls:

TimeVariablePointExpression
260.0ms
s
@-inf
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
35.0ms
s
@inf
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
35.0ms
t
@inf
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
30.0ms
c_n
@-inf
(+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
27.0ms
c_p
@0
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s))))))

rewrite294.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
2166×*-lowering-*.f32
2166×*-lowering-*.f64
1612×/-lowering-/.f32
1612×/-lowering-/.f64
1500×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073337
1521324
24622321
08020321
Stop Event
iter limit
node limit
Counts
24 → 451
Calls
Call 1
Inputs
(exp (+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))))
(+ (+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p)))
(+ (* 1/2 (* t c_n)) (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
(+ (neg (* (log (+ 1 (exp (- 0 s)))) c_p)) (* (log (+ 1 (exp (- 0 t)))) c_p))
(/ (pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow (/ 1 (+ 2 (* s (+ (* s 1/2) -1)))) c_p)
(/ 1 (+ 2 (* s (+ (* s 1/2) -1))))
(+ 2 (* s (+ (* s 1/2) -1)))
(exp (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))))
(* c_p (- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s))))))
(- (log (+ 1 (/ 1 (exp t)))) (log (+ 1 (/ 1 (exp s)))))
(log (+ 1 (/ 1 (exp t))))
(exp (+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))))
(+ (- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2)))))
(- (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))))) (* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
(+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))
(- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))
(log (+ 1 (exp (- 0 t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (exp t))
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(log (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))
(* c_n (log (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))
Outputs
(exp.f64 (+.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log.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))))))))
(*.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64)))))) (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))
(*.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) (exp.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64)))))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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)))))))))
(*.f64 (exp.f64 (-.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (+.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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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))))))))
(+.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))))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_p (log.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))))))))
(+.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log.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)))))))
(+.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (-.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(+.f64 (*.f64 c_p (log.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)))))) (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (*.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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)))
(+.f64 (+.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)))
(+.f64 (+.f64 (*.f64 c_p (log.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)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.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))))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log.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)))))))) (/.f64 (pow.f64 (*.f64 c_p (log.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)))))) #s(literal 2 binary64)) (-.f64 (*.f64 c_n (+.f64 (*.f64 #s(literal 1/2 binary64) t) (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))))) #s(literal 1/2 binary64))))) (*.f64 c_p (log.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)))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t c_n) (+.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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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))))))))
(fma.f64 (*.f64 t c_n) #s(literal 1/2 binary64) (+.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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) c_n (+.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))))) #s(literal 1/2 binary64)))) (*.f64 c_p (log.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))))))))
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(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 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)

simplify465.0ms (0.3%)

Algorithm
egg-herbie
Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
4422×+-lowering-+.f64
4422×+-lowering-+.f32
1332×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108015041
1375414429
0809514429
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
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(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log 1/2))
(+ (* -1/2 (* c_n t)) (* c_n (log 1/2)))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* -1/8 (* c_n t)))))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* t (+ (* -1/8 c_n) (* 1/192 (* c_n (pow t 2))))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
Outputs
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))))
(*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n)))))
(+.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 t (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(+.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 t (+.f64 (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 t (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (+.f64 (*.f64 c_p #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n))))))))))
(+ (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (+ (* t (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 (* c_p (+ (* -1/2 c_p) (* 1/2 c_n)))) (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(+.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 t (+.f64 (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n))) (*.f64 t (+.f64 (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (+.f64 (*.f64 c_p #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n)))))) (*.f64 t (*.f64 (*.f64 (/.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 #s(literal 2 binary64) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 c_p c_n) (-.f64 c_p c_n)))))))))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(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)))))) (* 1/2 t)) (log 1/2)))))
(+.f64 (/.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 c_n (*.f64 (/.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 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))))))
(+ (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)))))) (* 1/2 t)) (log 1/2)) 2)))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/2 t)) (log 1/2))))))
(+.f64 (/.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 c_n (+.f64 (*.f64 (/.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 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 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))) (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 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(+ (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)))))) (* 1/2 t)) (log 1/2)) 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)))))) (* 1/2 t)) (log 1/2)) 2))))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/2 t)) (log 1/2))))))
(+.f64 (/.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 c_n (+.f64 (*.f64 (/.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 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.f64 c_n (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 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))) (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 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.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))) (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 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(/.f64 (exp.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (exp (neg t))))))) (+ (* c_n (log 1/2)) (* c_p (log (+ 1 (exp (neg s))))))))
(/.f64 (exp.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p)))
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(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (+.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 c_n #s(literal 1/2 binary64)) 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)))))) (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))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) (* 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 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (+ (* 1/8 (* c_p t)) (* 1/2 c_n)))))) (* 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 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (+.f64 (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p t)))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)))))))) (* 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 (+.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_p c_n)) (*.f64 t (+.f64 (*.f64 c_p #s(literal 1/8 binary64)) (*.f64 (*.f64 c_p #s(literal -1/192 binary64)) (*.f64 t t))))))) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 1/2 (* c_n t))
(*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)
(* t (- (+ (* 1/2 c_n) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) t) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log (+ 1 (exp (neg s))))) t)))
(*.f64 t (-.f64 (+.f64 (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (/.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))) t))) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) t)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) t)))
(* t (- (+ (* 1/2 c_n) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) t) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log (+ 1 (exp (neg s))))) t)))
(*.f64 t (-.f64 (+.f64 (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (/.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))) t))) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) t)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) t)))
(* t (- (+ (* 1/2 c_n) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) t) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log (+ 1 (exp (neg s))))) t)))
(*.f64 t (-.f64 (+.f64 (*.f64 c_n (+.f64 #s(literal 1/2 binary64) (/.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))) t))) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) t)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) t)))
(* 1/2 (* c_n t))
(*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)
(* -1 (* t (+ (* -1 (/ (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))) t)) (* -1/2 c_n))))
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 (*.f64 c_n #s(literal -1/2 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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) t))))
(* -1 (* t (+ (* -1 (/ (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))) t)) (* -1/2 c_n))))
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 (*.f64 c_n #s(literal -1/2 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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) t))))
(* -1 (* t (+ (* -1 (/ (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))) t)) (* -1/2 c_n))))
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 (*.f64 c_n #s(literal -1/2 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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) t))))
(- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))
(*.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)))))) (* 1/2 t)) (log 1/2))) (* c_p (log (+ 1 (exp (neg t)))))) (* 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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.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)))))) (* 1/2 t)) (log 1/2))) (* c_p (log (+ 1 (exp (neg t)))))) (* 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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.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)))))) (* 1/2 t)) (log 1/2))) (* c_p (log (+ 1 (exp (neg t)))))) (* 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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64))))) (*.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)))))) (* 1/2 t)) (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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) t) (log.f64 #s(literal 1/2 binary64)))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 t) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n))) (+ (log 1/2) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(*.f64 c_n (-.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (+.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_n))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_n))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 t) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n))) (+ (log 1/2) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(*.f64 c_n (-.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (+.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_n))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_n))))
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 t) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n))) (+ (log 1/2) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))))
(*.f64 c_n (-.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (+.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_n))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_n))))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (* -1/2 t))))
(*.f64 (-.f64 (*.f64 t #s(literal -1/2 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 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c_n))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)) (* -1/2 t)))))
(*.f64 (-.f64 (-.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 (*.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)) (-.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 #s(literal 0 binary64) c_n))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)) (* -1/2 t)))))
(*.f64 (-.f64 (-.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 (*.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)) (-.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 #s(literal 0 binary64) c_n))
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))) (+ (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)) (* -1/2 t)))))
(*.f64 (-.f64 (-.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 (*.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)) (-.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 #s(literal 0 binary64) c_n))
(- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))
(- (+ (* 1/2 (* c_n t)) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (* -1/2 c_n) (* -1/2 c_p))))) (* c_p (log 2)))
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))))
(- (+ (* 1/2 (* c_n t)) (+ (* 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_p (log 2)))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2))))
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(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (* t (* (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (- (* -1/2 c_p) (* -1/2 c_n)))))
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(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (* t (+ (* t (* (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n)))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (- (* -1/2 c_p) (* -1/2 c_n))))))
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(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (* t (+ (* t (+ (* t (* (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (+ (* 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 (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (- (+ (* 1/8 c_p) (* 1/2 (pow (- (* -1/2 c_p) (* -1/2 c_n)) 2))) (* -1/8 c_n))))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_n (log 1/2)))) (- (* -1/2 c_p) (* -1/2 c_n))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s) (+.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 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp 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 (- (* 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 (/ 1 (exp t)))) (* 1/2 s)) (log 2)))))
(+.f64 (/.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)) (*.f64 c_p (*.f64 (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (/.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 (- (* 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 (/ 1 (exp t)))) (* 1/2 s)) (log 2)) 2)))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (+ (log (+ 1 (/ 1 (exp t)))) (* 1/2 s)) (log 2))))))
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(+ (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 (/ 1 (exp t)))) (* 1/2 s)) (log 2)) 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 (/ 1 (exp t)))) (* 1/2 s)) (log 2)) 2))))) (* (exp (- (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (- (+ (log (+ 1 (/ 1 (exp t)))) (* 1/2 s)) (log 2))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (/ 1 (exp t))))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (/ 1 (exp t))))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (/ 1 (exp t))))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (log (+ 1 (/ 1 (exp t))))))) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* c_p (log 2)))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(exp (- (+ (* 1/2 (* c_p s)) (+ (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))) (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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(+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))))
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(* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))) c_n))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))) c_n))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (/ 1 (exp t)))) (log 2))) c_n))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
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(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(- (log (+ 1 (/ 1 (exp t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (log 1/2) (* -1/2 t))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 t #s(literal -1/2 binary64)))
(+ (log 1/2) (* t (- (* -1/8 t) 1/2)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 t (+.f64 (*.f64 (*.f64 t t) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log 1/2))
(*.f64 c_n (log.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (* c_n t)) (* c_n (log 1/2)))
(+.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 c_n t)))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* -1/8 (* c_n t)))))
(+.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64))) (*.f64 t (+.f64 (*.f64 c_n #s(literal -1/2 binary64)) (*.f64 (*.f64 c_n t) #s(literal -1/8 binary64)))))
(+ (* c_n (log 1/2)) (* t (+ (* -1/2 c_n) (* t (+ (* -1/8 c_n) (* 1/192 (* c_n (pow t 2))))))))
(+.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64))) (*.f64 t (+.f64 (*.f64 c_n #s(literal -1/2 binary64)) (*.f64 t (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 #s(literal 1/192 binary64) (*.f64 c_n (*.f64 t t))))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))
(*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))

eval154.0ms (0.1%)

Compiler

Compiled 51894 to 3540 computations (93.2% saved)

prune133.0ms (0.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1179101189
Fresh7411
Picked415
Done000
Total1190151205
Accuracy
100.0%
Counts
1205 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(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)
94.5%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
94.8%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p) #s(literal 1 binary64))
94.1%
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
93.0%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))
91.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 #s(literal 2 binary64) c_p))
94.9%
(/.f64 (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
91.3%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
91.1%
(/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)) (/.f64 c_p #s(literal 2 binary64))) (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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
97.6%
(exp.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
97.2%
(exp.f64 (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 c_p #s(literal -1/8 binary64)) s) (*.f64 #s(literal 1/2 binary64) c_p))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
93.9%
(exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))
96.5%
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
97.2%
(exp.f64 (*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))))
93.1%
#s(literal 1 binary64)
Compiler

Compiled 655 to 489 computations (25.3% saved)

simplify191.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
cost-diff0
(+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))))
cost-diff6336
(exp.f64 (*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))))
cost-diff0
(*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))
cost-diff0
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p))
cost-diff0
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) t))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)
cost-diff6464
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 #s(literal 2 binary64) c_p))
cost-diff0
(*.f64 #s(literal 1/2 binary64) c_p)
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s)
cost-diff0
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
cost-diff0
(*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)
cost-diff128
(-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))))
cost-diff6464
(exp.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
Rules
2164×*-lowering-*.f32
2164×*-lowering-*.f64
1890×fnmadd-define
1794×+-lowering-+.f64
1794×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048352
1127340
2325336
3897334
43230333
55680333
08215333
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(exp (+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))))
(+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2))))
(* (* c_n 1/2) t)
(* c_n 1/2)
c_n
1/2
t
(- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))
(+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p))))
(* c_p (log (+ 1 (exp (- 0 t)))))
c_p
(log (+ 1 (exp (- 0 t))))
(exp (- 0 t))
(- 0 t)
0
(* s (* -1/2 (- c_n c_p)))
s
(* -1/2 (- c_n c_p))
-1/2
(- c_n c_p)
(* c_p (log 2))
(log 2)
2
(exp (* (* 1/2 c_p) s))
(* (* 1/2 c_p) s)
(* 1/2 c_p)
1/2
c_p
s
(/ (pow (+ 1 (exp (- 0 t))) c_p) (pow 2 c_p))
(pow (+ 1 (exp (- 0 t))) c_p)
(+ 1 (exp (- 0 t)))
1
(exp (- 0 t))
(- 0 t)
0
t
c_p
(pow 2 c_p)
2
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
(pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p))
(+ 2 (* s (+ (* 1/2 s) -1)))
2
(* s (+ (* 1/2 s) -1))
s
(+ (* 1/2 s) -1)
(* 1/2 s)
1/2
-1
(- 0 c_p)
0
c_p
(pow (+ 1 (exp (- 0 t))) (- 0 c_p))
(+ 1 (exp (- 0 t)))
1
(exp (- 0 t))
(- 0 t)
t
(exp (* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))))
(* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2))))
c_p
(+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))
(log (+ 1 (exp (- 0 t))))
(exp (- 0 t))
(- 0 t)
0
t
(- (* s (+ 1/2 (* s -1/8))) (log 2))
(* s (+ 1/2 (* s -1/8)))
s
(+ 1/2 (* s -1/8))
1/2
(* s -1/8)
-1/8
(log 2)
2
Outputs
(exp (+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (exp.f64 (+.f64 (*.f64 c_n (*.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 c_n c_p) (*.f64 s #s(literal -1/2 binary64))))))
(+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2))))
(+.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t))) (*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) s) (log.f64 #s(literal 2 binary64))))))
(* (* c_n 1/2) t)
(*.f64 c_n (*.f64 #s(literal 1/2 binary64) t))
(* c_n 1/2)
(*.f64 c_n #s(literal 1/2 binary64))
c_n
1/2
#s(literal 1/2 binary64)
t
(- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))
(-.f64 (*.f64 (-.f64 c_n c_p) (*.f64 s #s(literal -1/2 binary64))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p))))
(+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 (-.f64 c_n c_p) (*.f64 s #s(literal -1/2 binary64))))
(* c_p (log (+ 1 (exp (- 0 t)))))
(*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))
c_p
(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)
0
#s(literal 0 binary64)
(* s (* -1/2 (- c_n c_p)))
(*.f64 (-.f64 c_n c_p) (*.f64 s #s(literal -1/2 binary64)))
s
(* -1/2 (- c_n c_p))
(*.f64 #s(literal 1/2 binary64) (-.f64 c_p c_n))
-1/2
#s(literal -1/2 binary64)
(- c_n c_p)
(-.f64 c_n c_p)
(* c_p (log 2))
(*.f64 c_p (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(exp (* (* 1/2 c_p) s))
(exp.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)))
(* (* 1/2 c_p) s)
(*.f64 c_p (*.f64 #s(literal 1/2 binary64) s))
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
c_p
s
(/ (pow (+ 1 (exp (- 0 t))) c_p) (pow 2 c_p))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(pow (+ 1 (exp (- 0 t))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
1
#s(literal 1 binary64)
(exp (- 0 t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t
c_p
(pow 2 c_p)
(pow.f64 #s(literal 2 binary64) c_p)
2
#s(literal 2 binary64)
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)))
(pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p))
(+ 2 (* s (+ (* 1/2 s) -1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))
2
#s(literal 2 binary64)
(* s (+ (* 1/2 s) -1))
(*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))
s
(+ (* 1/2 s) -1)
(+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(- 0 c_p)
(-.f64 #s(literal 0 binary64) c_p)
0
#s(literal 0 binary64)
c_p
(pow (+ 1 (exp (- 0 t))) (- 0 c_p))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
1
#s(literal 1 binary64)
(exp (- 0 t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
t
(exp (* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))))) c_p)
(* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2))))
(*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))))
c_p
(+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))
(+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))
(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)
0
#s(literal 0 binary64)
t
(- (* s (+ 1/2 (* s -1/8))) (log 2))
(-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* s (+ 1/2 (* s -1/8)))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))
s
(+ 1/2 (* s -1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* s -1/8)
(*.f64 s #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize1.3s (0.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))))
accuracy99.9%
(*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))))
accuracy99.6%
(+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))
accuracy97.7%
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
accuracy99.2%
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
accuracy97.7%
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p))
accuracy97.7%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) t))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
accuracy99.2%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 #s(literal 2 binary64) c_p))
accuracy97.7%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) c_p)
accuracy100.0%
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
accuracy100.0%
(*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))
accuracy100.0%
(*.f64 c_p (log.f64 #s(literal 2 binary64)))
accuracy99.7%
(-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))
accuracy97.7%
(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
Results
1.1s217×5exit
24.0ms36×0valid
3.0ms3valid
2.0ms1valid
Compiler

Compiled 401 to 49 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 881.0ms
ival-log: 231.0ms (26.2% of total)
ival-exp: 183.0ms (20.8% of total)
ival-mult: 118.0ms (13.4% of total)
backward-pass: 117.0ms (13.3% of total)
ival-pow: 78.0ms (8.9% of total)
ival-sub: 59.0ms (6.7% of total)
ival-add: 51.0ms (5.8% of total)
compiled-spec: 22.0ms (2.5% of total)
ival-div: 16.0ms (1.8% of total)
const: 5.0ms (0.6% of total)

series67.0ms (0%)

Counts
22 → 552
Calls
Call 1
Inputs
#<alt (exp (+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))))>
#<alt (+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2))))>
#<alt (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))>
#<alt (* (* c_n 1/2) t)>
#<alt (exp (* (* 1/2 c_p) s))>
#<alt (* (* 1/2 c_p) s)>
#<alt (* 1/2 c_p)>
#<alt (/ (pow (+ 1 (exp (- 0 t))) c_p) (pow 2 c_p))>
#<alt (pow (+ 1 (exp (- 0 t))) c_p)>
#<alt (+ 1 (exp (- 0 t)))>
#<alt (exp (- 0 t))>
#<alt (/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))>
#<alt (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p))>
#<alt (+ 2 (* s (+ (* 1/2 s) -1)))>
#<alt (* s (+ (* 1/2 s) -1))>
#<alt (exp (* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))))>
#<alt (* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2))))>
#<alt (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))>
#<alt (log (+ 1 (exp (- 0 t))))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log (+ 1 (exp (- 0 t)))))>
#<alt (pow (+ 1 (exp (- 0 t))) (- 0 c_p))>
Outputs
#<alt (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t)))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2)))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t))))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 3)))) (* 1/2 (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2))))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t))))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (* -1/2 (* s (- c_n c_p))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n)))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))>
#<alt (+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (* c_p (+ (* -1/2 c_p) (* 1/2 c_n)))) (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))>
#<alt (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))>
#<alt (+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* -1/2 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p)))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* -1/2 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p))) (* 1/8 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 2)))))))>
#<alt (+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* -1/2 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 2))))))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))>
#<alt (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))>
#<alt (- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))>
#<alt (- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))>
#<alt (- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))>
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#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (* s (+ 1/2 (* -1/8 s))))>
#<alt (+ (* -1/2 (* c_p t)) (* c_p (* s (+ 1/2 (* -1/8 s)))))>
#<alt (+ (* c_p (* s (+ 1/2 (* -1/8 s)))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))>
#<alt (+ (* c_p (* s (+ 1/2 (* -1/8 s)))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))>
#<alt (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))>
#<alt (+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))>
#<alt (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))>
#<alt (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))>
#<alt (* -1/8 (* c_p (pow s 2)))>
#<alt (* (pow s 2) (+ (* -1/8 c_p) (* 1/2 (/ c_p s))))>
#<alt (* (pow s 2) (+ (* -1/8 c_p) (+ (* 1/2 (/ c_p s)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (pow s 2)))))>
#<alt (* (pow s 2) (+ (* -1/8 c_p) (+ (* 1/2 (/ c_p s)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (pow s 2)))))>
#<alt (* -1/8 (* c_p (pow s 2)))>
#<alt (* (pow s 2) (+ (* -1/8 c_p) (* 1/2 (/ c_p s))))>
#<alt (* (pow s 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s)) (* -1/2 c_p)) s)) (* -1/8 c_p)))>
#<alt (* (pow s 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s)) (* -1/2 c_p)) s)) (* -1/8 c_p)))>
#<alt (* s (+ 1/2 (* -1/8 s)))>
#<alt (+ (* -1/2 t) (* s (+ 1/2 (* -1/8 s))))>
#<alt (+ (* s (+ 1/2 (* -1/8 s))) (* t (- (* 1/8 t) 1/2)))>
#<alt (+ (* s (+ 1/2 (* -1/8 s))) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (log (+ 1 (exp (neg t)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))>
#<alt (* -1/8 (pow s 2))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/8))>
#<alt (* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ (log (+ 1 (exp (neg t)))) (pow s 2))) (+ 1/8 (/ (log 2) (pow s 2)))))>
#<alt (* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ (log (+ 1 (exp (neg t)))) (pow s 2))) (+ 1/8 (/ (log 2) (pow s 2)))))>
#<alt (* -1/8 (pow s 2))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/8))>
#<alt (* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- (log (+ 1 (exp (neg t)))) (log 2)) s)) 1/2) s)) 1/8))>
#<alt (* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- (log (+ 1 (exp (neg t)))) (log 2)) s)) 1/2) s)) 1/8))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 t))>
#<alt (+ (log 2) (* t (- (* 1/8 t) 1/2)))>
#<alt (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<alt (* c_p (log 2))>
#<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 (* c_p (log (+ 1 (exp (neg t)))))>
#<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 (* c_p (log (+ 1 (exp (neg t)))))>
#<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 (* c_p (log (+ 1 (exp (neg t)))))>
#<alt (* c_p (log 2))>
#<alt (+ (* -1/2 (* c_p t)) (* c_p (log 2)))>
#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))>
#<alt (+ (* c_p (log 2)) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))>
#<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 (* c_p (log (+ 1 (exp (neg t)))))>
#<alt (* c_p (log (+ 1 (exp (* -1 t)))))>
#<alt (* c_p (log (+ 1 (exp (* -1 t)))))>
#<alt (* c_p (log (+ 1 (exp (* -1 t)))))>
#<alt (* c_p (log (+ 1 (exp (* -1 t)))))>
#<alt (exp (* -1 (* c_p (log 2))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* t (exp (* -1 (* c_p (log 2))))))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))>
#<alt (+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (+ (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (+ 1 (exp (neg t)))) 2))))))>
#<alt (+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (exp (neg t)))) 3))) (* 1/2 (pow (log (+ 1 (exp (neg t)))) 2)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))>
Calls

138 calls:

TimeVariablePointExpression
16.0ms
t
@inf
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
4.0ms
s
@-inf
(* s (+ (* 1/2 s) -1))
1.0ms
t
@0
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
1.0ms
s
@inf
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
1.0ms
c_p
@0
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))

rewrite279.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
3354×fma-lowering-fma.f32
3354×fma-lowering-fma.f64
2650×*-lowering-*.f32
2650×*-lowering-*.f64
2020×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048224
1310213
22769213
08244213
Stop Event
iter limit
node limit
Counts
22 → 449
Calls
Call 1
Inputs
(exp (+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))))
(+ (* (* c_n 1/2) t) (- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2))))
(- (+ (* c_p (log (+ 1 (exp (- 0 t))))) (* s (* -1/2 (- c_n c_p)))) (* c_p (log 2)))
(* (* c_n 1/2) t)
(exp (* (* 1/2 c_p) s))
(* (* 1/2 c_p) s)
(* 1/2 c_p)
(/ (pow (+ 1 (exp (- 0 t))) c_p) (pow 2 c_p))
(pow (+ 1 (exp (- 0 t))) c_p)
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(/ (pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p)) (pow (+ 1 (exp (- 0 t))) (- 0 c_p)))
(pow (+ 2 (* s (+ (* 1/2 s) -1))) (- 0 c_p))
(+ 2 (* s (+ (* 1/2 s) -1)))
(* s (+ (* 1/2 s) -1))
(exp (* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))))
(* c_p (+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2))))
(+ (log (+ 1 (exp (- 0 t)))) (- (* s (+ 1/2 (* s -1/8))) (log 2)))
(log (+ 1 (exp (- 0 t))))
(* c_p (log 2))
(* c_p (log (+ 1 (exp (- 0 t)))))
(pow (+ 1 (exp (- 0 t))) (- 0 c_p))
Outputs
(exp.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (+.f64 (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))))
(/.f64 (exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (pow.f64 #s(literal 2 binary64) c_p))
(*.f64 (exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)) (/.f64 (exp.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))) (pow.f64 #s(literal 2 binary64) c_p)))
(*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))))) (pow.f64 #s(literal 2 binary64) c_p)) (exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (+.f64 (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(+.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (+.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(+.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(+.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))))
(-.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (-.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 t (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))) (-.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))) (/.f64 (pow.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))))
(fma.f64 c_n (*.f64 #s(literal 1/2 binary64) t) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 c_n t) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(fma.f64 (*.f64 c_n #s(literal 1/2 binary64)) t (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(fma.f64 t (*.f64 c_n #s(literal 1/2 binary64)) (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(fma.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (+.f64 (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p (+.f64 (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
(fma.f64 (+.f64 (pow.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) #s(literal 3 binary64)) (*.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 (*.f64 s s) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)) (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) #s(literal 2 binary64)) (*.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (-.f64 (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p))) (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))) (+.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t)))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)) (expm1.f64 (-.f64 #s(literal 0 binary64) t))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))) (pow.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 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))

simplify328.0ms (0.2%)

Algorithm
egg-herbie
Rules
7256×*-lowering-*.f32
7256×*-lowering-*.f64
4820×+-lowering-+.f64
4820×+-lowering-+.f32
1346×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08479690
128629232
087789232
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))
(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t)))))
(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2)))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t))))))
(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 3)))) (* 1/2 (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2))))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (* -1/2 (* s (- c_n c_p))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n)))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (* c_p (+ (* -1/2 c_p) (* 1/2 c_n)))) (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))
(+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* -1/2 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p)))))
(+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* -1/2 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p))) (* 1/8 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 2)))))))
(+ (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* -1/2 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- c_n c_p))) (* s (+ (* -1/48 (* s (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 3)))) (* 1/8 (* (exp (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (- c_n c_p) 2))))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))
(- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))
(- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))
(- (+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* 1/2 t))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2)))
(* c_n (+ (* -1/2 s) (* 1/2 t)))
(* c_n (- (+ (* -1/2 s) (+ (* 1/2 t) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)))) (/ (* c_p (log 2)) c_n)))
(* c_n (- (+ (* -1/2 s) (+ (* 1/2 t) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)))) (/ (* c_p (log 2)) c_n)))
(* c_n (- (+ (* -1/2 s) (+ (* 1/2 t) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)))) (/ (* c_p (log 2)) c_n)))
(* -1 (* c_n (+ (* -1/2 t) (* 1/2 s))))
(* -1 (* c_n (+ (* -1 (/ (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1 (* c_n (+ (* -1 (/ (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1 (* c_n (+ (* -1 (/ (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) c_n)) (+ (* -1/2 t) (* 1/2 s)))))
(* -1/2 (* s (- c_n c_p)))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/8 (* c_p t)) (* 1/2 c_n)))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)))))))
(* 1/2 (* c_n t))
(* t (- (+ (* -1/2 (/ (* s (- c_n c_p)) t)) (+ (* 1/2 c_n) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log 2)) t)))
(* t (- (+ (* -1/2 (/ (* s (- c_n c_p)) t)) (+ (* 1/2 c_n) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log 2)) t)))
(* t (- (+ (* -1/2 (/ (* s (- c_n c_p)) t)) (+ (* 1/2 c_n) (/ (* c_p (log (+ 1 (exp (neg t))))) t))) (/ (* c_p (log 2)) t)))
(* 1/2 (* c_n t))
(* -1 (* t (+ (* -1 (/ (- (+ (* -1/2 (* s (- c_n c_p))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log 2))) t)) (* -1/2 c_n))))
(* -1 (* t (+ (* -1 (/ (- (+ (* -1/2 (* s (- c_n c_p))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log 2))) t)) (* -1/2 c_n))))
(* -1 (* t (+ (* -1 (/ (- (+ (* -1/2 (* s (- c_n c_p))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log 2))) t)) (* -1/2 c_n))))
(+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))
(+ (* -1/2 (* c_n s)) (+ (* 1/2 (* c_n t)) (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))) (log 2)))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (* -1/2 s)) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (* -1/2 s))) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (* -1/2 s))) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (* -1/2 s))) (* -1 (log 2)))))
(- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))
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(* s (- (+ (* -1/2 (- c_n c_p)) (+ (* 1/2 (/ (* c_n t) s)) (/ (* c_p (log (+ 1 (exp (neg t))))) s))) (/ (* c_p (log 2)) s)))
(* s (- (+ (* -1/2 (- c_n c_p)) (+ (* 1/2 (/ (* c_n t) s)) (/ (* c_p (log (+ 1 (exp (neg t))))) s))) (/ (* c_p (log 2)) s)))
(* -1/2 (* s (- c_n c_p)))
(* -1 (* s (+ (* -1 (/ (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) s)) (* 1/2 (- c_n c_p)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) s)) (* 1/2 (- c_n c_p)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))) s)) (* 1/2 (- c_n c_p)))))
(* -1/2 (* c_n s))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) (log 2)))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (* -1/2 s)) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))) (* -1 (log 2)))))
(* -1 (* c_p (- (+ (* -1 (log (+ 1 (exp (neg t))))) (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))) (* -1 (log 2)))))
(* -1/2 (* s (- c_n c_p)))
(+ (* -1/2 (* c_p t)) (* -1/2 (* s (- c_n c_p))))
(+ (* -1/2 (* s (- c_n c_p))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
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(+ (exp (* -1 (* c_p (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* s (+ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/12 c_p) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s)))))))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (* 2 (/ (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s)))))))) s)))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (+ (* 2 (/ (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s)))))))) s)) (/ (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (+ (* 2 (/ (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s)))))))) s)) (+ (/ (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (+ (* -16/3 c_p) (+ (* -4 (pow c_p 2)) (* 4/3 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s))))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))
(exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s)))))))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (* 2 (/ (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s)))))))) s)))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (* -1 (/ (+ (* -2 (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))))) (* -1 (/ (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) s))) s)))
(+ (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (* -1 (/ (+ (* -2 (* c_p (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (+ (* -4/3 (pow c_p 3)) (+ (* 4 (pow c_p 2)) (* 16/3 c_p)))) s)) (* (exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s))))))) (+ (* -2 c_p) (* 2 (pow c_p 2))))) s))) s)))
1
(+ 1 (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(+ 1 (* c_p (+ (* -1 (log (+ 2 (* s (- (* 1/2 s) 1))))) (* 1/2 (* c_p (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 2))))))
(+ 1 (* c_p (+ (* -1 (log (+ 2 (* s (- (* 1/2 s) 1))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 3))) (* 1/2 (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 2)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* 1/2 s) 1)))
(* 1/2 (pow s 2))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))
(* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))
(* 1/2 (pow s 2))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))
(* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))
(* -1 s)
(* s (- (* 1/2 s) 1))
(* s (- (* 1/2 s) 1))
(* s (- (* 1/2 s) 1))
(* 1/2 (pow s 2))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* 1/2 (pow s 2))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (- 1/2 (/ 1 s)))
(* (pow s 2) (- 1/2 (/ 1 s)))
1
(+ 1 (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(+ 1 (* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* 1/2 (* c_p (pow (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) 2))) (* s (+ 1/2 (* -1/8 s))))) (log 2))))
(+ 1 (* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* c_p (+ (* 1/6 (* c_p (pow (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) 3))) (* 1/2 (pow (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) 2)))) (* s (+ 1/2 (* -1/8 s))))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (* s (+ 1/2 (* -1/8 s)))))
(+ (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (* -1/2 (* c_p (* t (exp (* c_p (* s (+ 1/2 (* -1/8 s)))))))))
(+ (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (* t (+ (* -1/2 (* c_p (exp (* c_p (* s (+ 1/2 (* -1/8 s))))))) (* t (* (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (* t (+ (* -1/2 (* c_p (exp (* c_p (* s (+ 1/2 (* -1/8 s))))))) (* t (+ (* t (* (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (+ (* -1/16 (pow c_p 2)) (* -1/48 (pow c_p 3))))) (* (exp (* c_p (* s (+ 1/2 (* -1/8 s))))) (+ (* 1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (* 1/2 (* c_p (* s (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))))))
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))) (* s (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))) (* s (+ (* s (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (+ (log 2) (* 1/8 (pow s 2))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (+ (log 2) (* 1/8 (pow s 2))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (+ (log 2) (* 1/8 (pow s 2))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (+ (log 2) (* 1/8 (pow s 2))))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(exp (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (* s (+ 1/2 (* -1/8 s))))
(+ (* -1/2 (* c_p t)) (* c_p (* s (+ 1/2 (* -1/8 s)))))
(+ (* c_p (* s (+ 1/2 (* -1/8 s)))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t)))))
(+ (* c_p (* s (+ 1/2 (* -1/8 s)))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)))
(* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))
(+ (* 1/2 (* c_p s)) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))
(* -1/8 (* c_p (pow s 2)))
(* (pow s 2) (+ (* -1/8 c_p) (* 1/2 (/ c_p s))))
(* (pow s 2) (+ (* -1/8 c_p) (+ (* 1/2 (/ c_p s)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (pow s 2)))))
(* (pow s 2) (+ (* -1/8 c_p) (+ (* 1/2 (/ c_p s)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (pow s 2)))))
(* -1/8 (* c_p (pow s 2)))
(* (pow s 2) (+ (* -1/8 c_p) (* 1/2 (/ c_p s))))
(* (pow s 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s)) (* -1/2 c_p)) s)) (* -1/8 c_p)))
(* (pow s 2) (+ (* -1 (/ (+ (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s)) (* -1/2 c_p)) s)) (* -1/8 c_p)))
(* s (+ 1/2 (* -1/8 s)))
(+ (* -1/2 t) (* s (+ 1/2 (* -1/8 s))))
(+ (* s (+ 1/2 (* -1/8 s))) (* t (- (* 1/8 t) 1/2)))
(+ (* s (+ 1/2 (* -1/8 s))) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (* -1 t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (log (+ 1 (exp (neg t)))) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(* -1/8 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/8))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ (log (+ 1 (exp (neg t)))) (pow s 2))) (+ 1/8 (/ (log 2) (pow s 2)))))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ (log (+ 1 (exp (neg t)))) (pow s 2))) (+ 1/8 (/ (log 2) (pow s 2)))))
(* -1/8 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/8))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- (log (+ 1 (exp (neg t)))) (log 2)) s)) 1/2) s)) 1/8))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- (log (+ 1 (exp (neg t)))) (log 2)) s)) 1/2) s)) 1/8))
(log 2)
(+ (log 2) (* -1/2 t))
(+ (log 2) (* t (- (* 1/8 t) 1/2)))
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* c_p (log 2))
(* 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)))))
(* 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)))))
(exp (* -1 (* c_p (log 2))))
(+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* t (exp (* -1 (* c_p (log 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (+ (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
1
(+ 1 (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (+ 1 (exp (neg t)))) 2))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (exp (neg t)))) 3))) (* 1/2 (pow (log (+ 1 (exp (neg t)))) 2)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
Outputs
(exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))
(exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t)))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 (exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))))
(+ (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (pow (+ (* -1/2 s) (* 1/2 t)) 2)))) (* (exp (- (+ (* 1/2 (* c_p s)) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* -1/2 s) (* 1/2 t))))))
(+.f64 (exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 c_n (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_n) (*.f64 (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) (exp.f64 (+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))))))
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(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 t c_n) (*.f64 s (-.f64 c_p c_n)))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 t c_n) (*.f64 s (-.f64 c_p c_n)))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 t c_n) (*.f64 s (-.f64 c_p c_n)))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* 1/2 (* c_n t)) (+ (* 1/2 (* s (+ c_p (* -1 c_n)))) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 t c_n) (*.f64 s (-.f64 c_p c_n)))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (* -1/2 (* s (- c_n c_p))))
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n)))))
(+.f64 (exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p))) (*.f64 (exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p))) (*.f64 t (+.f64 (*.f64 c_p #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) c_n)))))
(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
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(+ (exp (* -1/2 (* s (- c_n c_p)))) (* t (+ (* t (+ (* t (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 (* c_p (+ (* -1/2 c_p) (* 1/2 c_n)))) (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (* -1/2 (* s (- c_n c_p)))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
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(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (* -1 t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))))
(exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))))
(+.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) (*.f64 c_p (*.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) s) (log.f64 #s(literal 2 binary64)))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* 1/2 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2)))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))
(+.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) (*.f64 c_p (+.f64 (*.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) s) (log.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) s) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t)))) c_p))))))
(+ (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 3)))) (* 1/2 (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (pow (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) 2))))) (* (exp (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t)))) (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))))))
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(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (- c_n c_p))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(exp (- (+ (* -1/2 (* s (+ c_n (* -1 c_p)))) (+ (* 1/2 (* c_n t)) (* c_p (log (+ 1 (exp (neg t))))))) (* c_p (log 2))))
(exp.f64 (+.f64 (+.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)) (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) c_p) (-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(/ (exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1))))))) (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t))))))))
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(/ (exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1))))))) (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t))))))))
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(/ (exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1))))))) (exp (* -1 (* c_p (log (+ 1 (exp (* -1 t))))))))
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(exp (* -1 (* c_p (log 2))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p))
(+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* s (exp (* -1 (* c_p (log 2))))))))
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(exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ 1 s)))))))
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(exp (* -1 (* c_p (+ (log 1/2) (* -2 (log (/ -1 s)))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
(-.f64 #s(literal 1 binary64) (*.f64 c_p (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))))))
(+ 1 (* c_p (+ (* -1 (log (+ 2 (* s (- (* 1/2 s) 1))))) (* 1/2 (* c_p (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 2))))))
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(+ 1 (* c_p (+ (* -1 (log (+ 2 (* s (- (* 1/2 s) 1))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 3))) (* 1/2 (pow (log (+ 2 (* s (- (* 1/2 s) 1)))) 2)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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(exp (* -1 (* c_p (log (+ 2 (* s (- (* 1/2 s) 1)))))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 s))
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(+ 2 (* s (- (* 1/2 s) 1)))
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(+ 2 (* s (- (* 1/2 s) 1)))
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(* 1/2 (pow s 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 s s))
(* (pow s 2) (- 1/2 (/ 1 s)))
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(* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))
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(* 1/2 (pow s 2))
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1
#s(literal 1 binary64)
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(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)))) (*.f64 (+.f64 (*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 t (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)))))))
(+ (exp (* -1 (* c_p (log 2)))) (* t (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* t (+ (* t (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)))) (*.f64 t (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)) (+.f64 (*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) (*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p)) (+.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)))))))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(-.f64 #s(literal 1 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (+ 1 (exp (neg t)))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal 2 binary64))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (exp (neg t))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (exp (neg t)))) 3))) (* 1/2 (pow (log (+ 1 (exp (neg t)))) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 c_p (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal 2 binary64))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) #s(literal 3 binary64)) (*.f64 c_p #s(literal -1/6 binary64))))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(exp (* -1 (* c_p (log (+ 1 (exp (neg t)))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))

eval171.0ms (0.1%)

Compiler

Compiled 31382 to 2661 computations (91.5% saved)

prune138.0ms (0.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New111091119
Fresh549
Picked325
Done011
Total1118161134
Accuracy
100.0%
Counts
1134 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(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)
94.1%
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (-.f64 #s(literal 0 binary64) c_p))))
94.1%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) c_p))
91.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 #s(literal 2 binary64) c_p))
94.5%
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
96.1%
(/.f64 (pow.f64 (exp.f64 c_p) (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))))) (pow.f64 #s(literal 2 binary64) c_p))
91.3%
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
91.1%
(/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)) (/.f64 c_p #s(literal 2 binary64))) (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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
91.8%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p))
93.1%
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
98.4%
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
93.9%
(exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))
96.5%
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
97.2%
(exp.f64 (*.f64 c_p (-.f64 (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))) (log.f64 #s(literal 2 binary64)))))
95.4%
(exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t))))
93.1%
#s(literal 1 binary64)
Compiler

Compiled 1482 to 511 computations (65.5% saved)

regimes139.0ms (0.1%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
(exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
(exp.f64 (*.f64 c_n (+.f64 (*.f64 s #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) t))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p) (pow.f64 #s(literal 2 binary64) c_p))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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)
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 s #s(literal 1/2 binary64)) #s(literal -1 binary64))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 c_p #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p))
(exp.f64 (*.f64 c_p (+.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 c_p (-.f64 (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64))))) (log.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(/.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) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(exp.f64 (+.f64 (*.f64 s (+.f64 (*.f64 (*.f64 c_p #s(literal -1/8 binary64)) s) (*.f64 #s(literal 1/2 binary64) c_p))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 (*.f64 #s(literal 1/2 binary64) s) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c_p)) (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (-.f64 #s(literal 0 binary64) c_p))))
(/.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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(exp.f64 (+.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t) (-.f64 (+.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (*.f64 s (*.f64 #s(literal -1/2 binary64) (-.f64 c_n c_p)))) (*.f64 c_p (log.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
(/.f64 (pow.f64 (exp.f64 c_p) (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/8 binary64)))))) (pow.f64 #s(literal 2 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 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))) c_p))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (*.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
(exp.f64 (-.f64 (+.f64 (+.f64 (*.f64 c_p (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 c_n (log.f64 #s(literal 1/2 binary64)))) (*.f64 s (+.f64 (+.f64 (*.f64 c_n #s(literal -1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 c_p #s(literal -1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) c_p)))) (+.f64 (*.f64 c_n (log.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_p (log.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t c_n)) (*.f64 c_n (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (log.f64 #s(literal 1/2 binary64))))) (+.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))))
(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 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p s)) (*.f64 c_p (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) 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.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 (*.f64 (+.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 #s(literal 1/8 binary64) (*.f64 c_p 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))))
(/.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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) #s(literal -2 binary64)) (/.f64 c_p #s(literal 2 binary64))) (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 (exp.f64 (neg.f64 (*.f64 (log1p.f64 (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) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 t #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) t)) (exp.f64 t)))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Outputs
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
Calls

13 calls:

13.0ms
t
12.0ms
(neg.f64 t)
12.0ms
c_n
11.0ms
c_p
11.0ms
(neg.f64 s)
Results
AccuracySegmentsBranch
98.4%1c_p
98.4%1c_n
98.4%1t
98.4%1s
98.4%1(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
98.4%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
98.4%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
98.4%1(exp.f64 (neg.f64 s))
98.4%1(neg.f64 s)
98.4%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
98.4%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
98.4%1(exp.f64 (neg.f64 t))
98.4%1(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes10.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
(exp.f64 (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) t))
Outputs
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
Calls

4 calls:

3.0ms
s
2.0ms
c_n
2.0ms
t
2.0ms
c_p
Results
AccuracySegmentsBranch
96.5%1c_p
96.5%1c_n
96.5%1t
96.5%1s
Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_p))
Outputs
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
c_n
2.0ms
s
2.0ms
t
2.0ms
c_p
Results
AccuracySegmentsBranch
93.1%1c_p
93.1%1c_n
93.1%1t
93.1%1s
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

4 calls:

1.0ms
s
1.0ms
t
1.0ms
c_n
1.0ms
c_p
Results
AccuracySegmentsBranch
93.1%1c_n
93.1%1s
93.1%1c_p
93.1%1t
Compiler

Compiled 20 to 16 computations (20% saved)

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
12822
23222
33422
43522
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(exp.f64 (*.f64 (*.f64 s #s(literal -1/2 binary64)) (-.f64 c_n c_p)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) s))
(exp.f64 (*.f64 s (*.f64 c_p #s(literal 1/2 binary64))))
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) #s(literal 1 binary64))
(+.f64 (*.f64 c_p (*.f64 s #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.5s (1%)

Rules
7256×*-lowering-*.f32
7256×*-lowering-*.f64
5312×*-lowering-*.f32
5312×*-lowering-*.f64
5122×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08479690
128629232
087789232
0154527005
1590925854
0813325854
0108015041
1375414429
0809514429
03725273
112114689
247584660
083174660
02277
113677
2103972
0845272
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 197 to 143 computations (27.4% saved)

preprocess40.0ms (0%)

Compiler

Compiled 204 to 118 computations (42.2% saved)

end0.0ms (0%)

Profiling

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