Harley's example

Time bar (total: 52.0s)

analyze433.0ms (0.8%)

Memory
45.6MiB live, 710.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
0%0%25%75%0%0%0%2
0%0%25%75%0%0%0%3
0%0%25%75%0%0%0%4
0%0%25%75%0%0%0%5
0%0%21.8%75%0%3.1%0%6
0%0%18.7%75%0%6.2%0%7
19%3.1%13.3%75%0%8.6%0%8
19%3.1%13.3%75%0%8.6%0%9
21.6%3.1%11.3%75%0%10.5%0%10
24.6%3.1%9.6%75%0%12.3%0%11
35.6%3.1%5.7%75%0%16.2%0%12
Compiler

Compiled 51 to 27 computations (47.1% saved)

sample39.3s (75.6%)

Memory
214.9MiB live, 43 297.5MiB allocated
Samples
27.5s7 650×5exit
5.2s24 707×0exit
1.4s8 055×0valid
190.0ms21×4valid
66.0ms19×3valid
61.0ms142×1valid
22.0ms19×2valid
15.0ms32×1exit
0.0ms2exit
Precisions
Click to see histograms. Total time spent on operations: 32.0s
ival-pow: 24.4s (76.4% of total)
ival-div: 1.6s (5% of total)
adjust: 1.5s (4.6% of total)
ival-exp: 906.0ms (2.8% of total)
ival-add: 865.0ms (2.7% of total)
ival-sub: 845.0ms (2.6% of total)
ival-neg: 712.0ms (2.2% of total)
ival-mult: 659.0ms (2.1% of total)
ival-<: 316.0ms (1% of total)
exact: 73.0ms (0.2% of total)
ival-and: 65.0ms (0.2% of total)
ival-assert: 16.0ms (0.1% of total)
Bogosity

preprocess108.0ms (0.2%)

Memory
-13.3MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Rules
608×sub-neg
540×div-sub
508×associate-/r*
472×times-frac
432×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094649
1256649
2697649
31471649
42188649
52808649
63221649
73592649
84188649
94284649
104304649
114304649
02243
14843
28643
312443
417043
521943
627443
732243
833843
934843
1035243
035243
Stop Event
iter limit
saturated
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)))
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) (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) (/.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 (/ 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 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) (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 (exp (neg t)))) c_p)) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n)) (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 s)))) c_p) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (* (pow (/ 1 (+ 1 (exp t))) c_p) (pow (+ 1 (/ 1 (- -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 (/ 1 (+ 1 (exp s))) c_p) (/ (pow (+ 1 (/ 1 (- -1 (exp 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))))
(* (/ (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (neg (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)))))
(* (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n)) (neg (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))))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (* (pow (+ 1 (/ 1 (- -1 (exp t)))) c_n) (neg (pow (/ 1 (+ 1 (exp t))) c_p)))))
(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 s))) c_p) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (/ (pow (+ 1 (/ 1 (- -1 (exp s)))) c_n) (neg (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(/ (* (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)))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_p)) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_n)))
(/ (* (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 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 (- -1 (exp (neg c_p))))) c_n) (pow (/ 1 (+ 1 (exp (neg c_p)))) s)) (* (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg 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 (+ 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 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)))
(/ (/ (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))

explain443.0ms (0.9%)

Memory
31.7MiB live, 922.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(/.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)))
95(39266495370.156105 512.3593667344675 139.12437213358677 3.822658227277806e+54)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
30-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
27(8.888951479412328e-286 2.3250612973568973e+98 -402597.79852308525 -0.0013446396148446465)0-(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
10-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
13(39266495370.156105 512.3593667344675 139.12437213358677 3.822658227277806e+54)0-(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
00-0-(neg.f64 s)
00-0-#s(literal 1 binary64)
00-0-t
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
00-0-s
00-0-(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
00-0-(neg.f64 t)
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
00-0-c_p
02(39266495370.156105 512.3593667344675 139.12437213358677 3.822658227277806e+54)0-(exp.f64 (neg.f64 t))
00-0-(exp.f64 (neg.f64 s))
00-0-c_n
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
00-0-(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
01(1.624156987320238e-290 235.5510182232936 5.7488459387149576e-67 4.5846918279195465e-58)0-(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))u/u170
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)underflow15
(*.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))underflow28
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))underflow16
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))underflow8
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)underflow13
(exp.f64 (neg.f64 s))underflow16
(exp.f64 (neg.f64 t))underflow4
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow16
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)underflow7
(*.f64 (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))underflow17
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))underflow2
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)underflow10
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)uflow-rescue80
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)underflow10
(exp.f64 (neg.f64 t))underflow2
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow8
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)sensitivity70
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)sensitivity60
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)sensitivity30
-.f64(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))cancellation30
exp.f64(exp.f64 (neg.f64 t))sensitivity21
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)uflow-rescue20
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)underflow7
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))underflow2
(exp.f64 (neg.f64 t))underflow2
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))underflow8
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)sensitivity10
-.f64(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))cancellation10
pow.f64(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)uflow-rescue10
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)underflow15
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))underflow8
(exp.f64 (neg.f64 s))underflow8
Confusion
Predicted +Predicted -
+310
-5220
Precision
0.8611111111111112
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-50220
Precision?
0.8611111111111112
Recall?
1.0
Freqs
test
numberfreq
0220
124
211
51
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms482×0valid
13.0ms12×2valid
8.0ms4valid
7.0ms14×1valid
Compiler

Compiled 462 to 92 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 31.0ms (39.2% of total)
ival-div: 13.0ms (16.4% of total)
ival-exp: 9.0ms (11.4% of total)
ival-neg: 7.0ms (8.8% of total)
ival-add: 6.0ms (7.6% of total)
ival-mult: 6.0ms (7.6% of total)
ival-sub: 5.0ms (6.3% of total)
adjust: 2.0ms (2.5% of total)
ival-true: 1.0ms (1.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.0%
(/.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)))
Compiler

Compiled 47 to 22 computations (53.2% saved)

simplify21.0ms (0%)

Memory
8.8MiB live, 51.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022182
148182
286182
3124182
4170182
5219182
6274182
7322182
8338182
9348182
10352182
0352182
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) (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) (/.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) (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) (/.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) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(neg s)
(-.f64 #s(literal 0 binary64) s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.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)))))

localize100.0ms (0.2%)

Memory
-44.0MiB live, 261.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy98.8%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy96.9%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy93.5%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Samples
40.0ms241×0valid
5.0ms2valid
4.0ms4valid
3.0ms1valid
Compiler

Compiled 184 to 24 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 16.0ms (43.1% of total)
ival-div: 5.0ms (13.5% of total)
ival-exp: 4.0ms (10.8% of total)
ival-sub: 3.0ms (8.1% of total)
ival-add: 3.0ms (8.1% of total)
ival-mult: 3.0ms (8.1% of total)
ival-neg: 2.0ms (5.4% of total)
adjust: 1.0ms (2.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series475.0ms (0.9%)

Memory
49.2MiB live, 821.4MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#<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 s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
Outputs
#<alt (/ (* (pow 1/2 c_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)))>
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#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))>
#<alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
Calls

45 calls:

TimeVariablePointExpression
173.0ms
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)))
123.0ms
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)))
54.0ms
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)))
39.0ms
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)))
35.0ms
c_p
@inf
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

rewrite476.0ms (0.9%)

Memory
-19.3MiB live, 540.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 536×*-lowering-*.f32
4 536×*-lowering-*.f64
3 976×accelerator-lowering-fma.f32
3 976×accelerator-lowering-fma.f64
3 722×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022109
1134109
21005104
0858691
Stop Event
iter limit
node limit
Counts
7 → 395
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))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
Outputs
(exp.f64 (*.f64 (log.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) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 c_p (-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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)))))))))
(exp.f64 (+.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 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (/.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 s))))))) (+.f64 (*.f64 (*.f64 c_p #s(literal -1 binary64)) (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) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))))
(exp.f64 (-.f64 (+.f64 (*.f64 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (/.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 s))))))) (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(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 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 (*.f64 (*.f64 c_p #s(literal -1 binary64)) (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) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))))
(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 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))) (*.f64 (*.f64 c_p #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (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))))
(-.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) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.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) (exp.f64 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) (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))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (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))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (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)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n))))
(neg.f64 (/.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 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (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)))
(/.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 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (exp.f64 (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) c_p)))))
(/.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 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.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))) (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))))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) c_n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))
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(*.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))))) (/.f64 c_n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) (/.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal 2 binary64))))

simplify554.0ms (1.1%)

Memory
33.6MiB live, 826.6MiB allocated
Algorithm
egg-herbie
Rules
14 340×accelerator-lowering-fma.f32
14 340×accelerator-lowering-fma.f64
7 070×*-lowering-*.f32
7 070×*-lowering-*.f64
5 282×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04357149
113646564
249646021
090405694
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 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_n) (pow 1/2 c_p))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
Outputs
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1
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1/2
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (*.f64 c_n (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 c_n #s(literal 1/6 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) #s(literal 1/2 binary64)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)

eval126.0ms (0.2%)

Memory
-17.8MiB live, 206.5MiB allocated
Compiler

Compiled 36 822 to 2 043 computations (94.5% saved)

prune111.0ms (0.2%)

Memory
-23.6MiB live, 199.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6224626
Fresh000
Picked101
Done000
Total6234627
Accuracy
100.0%
Counts
627 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.8%
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
92.7%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
89.7%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
90.5%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Compiler

Compiled 130 to 78 computations (40% saved)

simplify25.0ms (0%)

Memory
12.7MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
cost-diff0
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
cost-diff0
(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-diff0
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
cost-diff0
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
cost-diff128
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
cost-diff0
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
cost-diff128
(*.f64 #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))
Rules
128×+-lowering-+.f64
128×+-lowering-+.f32
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
124×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044470
179470
2117470
3145470
4193470
5244470
6302470
7340470
8355470
9365470
10369470
0369470
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)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
1
(+ 1 (exp (neg s)))
(exp (neg s))
(neg s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
c_n
(* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(/ 1 (+ 1 (exp (neg t))))
(+ 1 (exp (neg t)))
(exp (neg t))
(neg t)
t
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) 1))
(* (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) 1)
(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 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))
1
(/ -1 (+ 1 (/ 1 (exp s))))
-1
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(exp s)
s
c_n
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
(/ -1 (+ 1 (exp (- 0 t))))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
0
t
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(/ 1 (+ 1 (/ 1 (exp s))))
1
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(exp s)
s
c_p
(pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)
(/ 1 (+ 1 (exp (- 0 t))))
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
0
t
Outputs
(/ (* (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 (*.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.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
(* 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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (neg t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(/ (* (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) 1))
(/.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)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) 1)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (neg t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 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) (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 (/ 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
#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
#s(literal -1 binary64)
(+ 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
c_n
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(/ -1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (- 0 t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(/.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) (exp.f64 t)))) c_p))
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 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 (exp s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
c_p
(pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
(/ 1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (- 0 t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t

localize230.0ms (0.4%)

Memory
5.2MiB live, 391.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
accuracy97.7%
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
accuracy97.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
accuracy99.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
accuracy99.2%
(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)
accuracy98.8%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
accuracy97.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy99.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy97.7%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
accuracy97.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy99.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy99.2%
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
accuracy98.8%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
accuracy97.3%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #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)))
Samples
84.0ms232×0valid
12.0ms2valid
7.0ms4valid
7.0ms1valid
3.0ms0exit
Compiler

Compiled 504 to 46 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 28.0ms (37% of total)
ival-div: 18.0ms (23.8% of total)
ival-exp: 8.0ms (10.6% of total)
ival-add: 8.0ms (10.6% of total)
ival-mult: 5.0ms (6.6% of total)
ival-sub: 4.0ms (5.3% of total)
adjust: 2.0ms (2.6% of total)
ival-neg: 2.0ms (2.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series319.0ms (0.6%)

Memory
21.2MiB live, 415.0MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#<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)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) 1)>
#<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) 1))>
#<alt (/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n))>
#<alt (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))>
#<alt (/ -1 (+ 1 (/ 1 (exp s))))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))>
#<alt (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n)>
#<alt (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)>
#<alt (+ 1 (exp (- 0 t)))>
Outputs
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<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))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<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))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<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))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))) (+ (* 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))) (+ (* 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))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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)))))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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 1/2 c_n) (pow 1/2 c_p)) (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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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)) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (+ (* 1/2 (/ (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (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)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (+ (* c_p (+ (* 1/6 (/ (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (+ (* c_n (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (* c_n (- (* 1/6 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (+ (* 1/6 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) 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)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))))))))))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (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))>
#<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))>
#<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))>
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#<alt (+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (/ 1 (exp s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (/ 1 (exp s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p)))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp s)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<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 2>
#<alt (+ 2 (* -1 t))>
#<alt (+ 2 (* t (- (* 1/2 t) 1)))>
#<alt (+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
Calls

129 calls:

TimeVariablePointExpression
149.0ms
t
@inf
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
40.0ms
t
@inf
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n))
21.0ms
s
@inf
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
20.0ms
s
@-inf
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
20.0ms
s
@inf
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n))

rewrite366.0ms (0.7%)

Memory
1.9MiB live, 672.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 900×/-lowering-/.f32
2 900×/-lowering-/.f64
2 858×*-lowering-*.f32
2 858×*-lowering-*.f64
1 966×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044276
1290276
21824276
08955240
Stop Event
iter limit
node limit
Counts
22 → 868
Calls
Call 1
Inputs
(* 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)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) 1)
(/ (* (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) 1))
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow (/ 1 (+ 1 (exp (- 0 t)))) c_p))
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(/ 1 (+ 1 (/ 1 (exp s))))
(+ 1 (/ 1 (exp s)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 t))))) c_n)
(pow (/ 1 (+ 1 (exp (- 0 t)))) c_p)
(+ 1 (exp (- 0 t)))
Outputs
(exp.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 2 binary64))) (/.f64 c_n #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) c_n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) 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) #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))))) (/.f64 c_n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -3 binary64))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.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) (exp.f64 t)))))) c_n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -2 binary64))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) c_n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -3 binary64))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.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) (exp.f64 t)))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -2 binary64))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.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) (exp.f64 t)))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (*.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.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) (+.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))) (*.f64 #s(literal -1 binary64) c_p)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 c_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))
(exp.f64 (+.f64 (+.f64 (*.f64 c_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.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 s))))))) (neg.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))
(exp.f64 (+.f64 (+.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_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))) (neg.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))))
(exp.f64 (+.f64 (neg.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 (*.f64 c_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.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 s)))))))))
(exp.f64 (+.f64 (neg.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 (*.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_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))))
(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 c_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(exp.f64 (-.f64 (+.f64 (*.f64 c_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.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 s))))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))))
(exp.f64 (-.f64 (+.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_p (-.f64 #s(literal 0 binary64) (log1p.f64 (/.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 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 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) (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))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 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) (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))))
(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 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 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)))
(/.f64 #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 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)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 binary64) 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) (+.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))) (*.f64 #s(literal -1 binary64) c_p))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (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 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)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 binary64) c_p))))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 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 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 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)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (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 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)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) (*.f64 #s(literal -1 binary64) c_p)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (+.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))) (*.f64 #s(literal -1 binary64) c_p))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) t)) (exp.f64 t))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (-.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))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) t)) (exp.f64 t))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) t)) (exp.f64 t)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.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) (exp.f64 t)))))

simplify760.0ms (1.5%)

Memory
-227.8MiB live, 1 432.0MiB allocated
Algorithm
egg-herbie
Rules
12 910×accelerator-lowering-fma.f32
12 910×accelerator-lowering-fma.f64
7 348×*-lowering-*.f32
7 348×*-lowering-*.f64
5 334×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078113248
1239712830
2718712800
0824012059
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))) (+ (* 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))) (+ (* 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))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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)))))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (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 (+ 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 (+ 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 (+ 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 (+ 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)) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* c_p (+ (* 1/2 (/ (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (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)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* c_p (+ (* c_p (+ (* 1/6 (/ (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(+ (* c_n (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (* c_n (- (* 1/6 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (+ (* 1/6 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) 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)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) 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))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))))))))))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_n))
(+ (* 1/2 (/ (* c_n (* t (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow 1/2 c_n))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_n)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_n)))
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_n))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_n)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ (* (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 (+ 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 (+ 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 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
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(/ 1 (+ 1 (/ 1 (exp s))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
(+ 1 (/ 1 (exp s)))
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
1/2
(+ 1/2 (* -1/4 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)))))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(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)
2
(+ 2 (* -1 t))
(+ 2 (* t (- (* 1/2 t) 1)))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
Outputs
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (*.f64 c_n (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) t) #s(literal -1/2 binary64))))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (*.f64 t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 t (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 c_n (*.f64 c_n #s(literal 1/8 binary64)))))))))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (+.f64 (*.f64 c_n #s(literal -1/8 binary64)) (*.f64 c_n (*.f64 c_n #s(literal 1/8 binary64)))) (*.f64 t (+.f64 (*.f64 c_n (*.f64 (*.f64 c_n c_n) #s(literal -1/48 binary64))) (*.f64 c_n (*.f64 c_n #s(literal 1/16 binary64)))))))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.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)
(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)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) c_n)))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(+.f64 #s(literal 1 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))))) (*.f64 c_n (+.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 3 binary64)) (*.f64 c_n #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) #s(literal 2 binary64))))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.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)
(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)
(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)
(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)
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)) (*.f64 s (+.f64 (/.f64 (*.f64 (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n))) (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) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)))))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* 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))) (+ (/ (* (+ (* -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)) (/ (* (+ (* -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 1/2 c_n) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
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1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))))
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1/2
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(+ 1/2 (* -1/4 s))
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-1/2
#s(literal -1/2 binary64)
(- (* -1/4 s) 1/2)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp s)))))))
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
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(/ 1 (+ 1 (/ 1 (exp s))))
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(/ 1 (+ 1 (/ 1 (exp s))))
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(/ 1 (+ 1 (/ 1 (exp s))))
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(/ 1 (+ 1 (/ 1 (exp s))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 t))
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
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(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
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(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
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(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.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)
(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)
(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)
(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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/4 binary64)))
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1
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1
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(-.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) c_p))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) c_p)) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(+ 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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 c_p (+.f64 (*.f64 c_p (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t)))) #s(literal 2 binary64))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
(pow (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) 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 (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
2
#s(literal 2 binary64)
(+ 2 (* -1 t))
(-.f64 #s(literal 2 binary64) t)
(+ 2 (* t (- (* 1/2 t) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) t))))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/6 binary64)))))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))

eval215.0ms (0.4%)

Memory
56.0MiB live, 476.8MiB allocated
Compiler

Compiled 64 508 to 3 721 computations (94.2% saved)

prune255.0ms (0.5%)

Memory
-3.0MiB live, 468.7MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 68631 689
Fresh000
Picked404
Done000
Total1 69031 693
Accuracy
100.0%
Counts
1 693 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
93.6%
(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)
92.8%
#s(literal 1 binary64)
Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify6.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) s))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
cost-diff0
(+.f64 #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
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
Rules
16×+-lowering-+.f64
16×*-lowering-*.f32
16×*-lowering-*.f64
16×+-lowering-+.f32
14×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01473
12373
22773
33473
44273
55273
65673
05673
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
1
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
1
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_n
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_p
Outputs
1
#s(literal 1 binary64)
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
1
#s(literal 1 binary64)
(/ -1 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_n
(pow (/ 1 (+ 1 (exp (- 0 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 (+ 1 (exp (- 0 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(exp (- 0 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_p

localize107.0ms (0.2%)

Memory
-31.6MiB live, 83.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) s))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) s))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
accuracy99.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
Samples
38.0ms247×0valid
2.0ms2valid
0.0ms1valid
Compiler

Compiled 86 to 17 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 17.0ms (62.1% of total)
ival-div: 4.0ms (14.6% of total)
ival-add: 2.0ms (7.3% of total)
ival-exp: 2.0ms (7.3% of total)
ival-sub: 1.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))>
#<alt (/ -1 (+ 1 (exp (- 0 s))))>
#<alt (+ 1 (exp (- 0 s)))>
#<alt (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (- 0 s))))>
#<alt (exp (- 0 s))>
Outputs
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt -1/2>
#<alt (- (* -1/4 s) 1/2)>
#<alt (- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)>
#<alt (- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt 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 (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 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))>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
s
@-inf
(/ -1 (+ 1 (exp (- 0 s))))
0.0ms
s
@inf
(/ -1 (+ 1 (exp (- 0 s))))
0.0ms
c_n
@0
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
0.0ms
s
@0
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
0.0ms
s
@-inf
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)

rewrite378.0ms (0.7%)

Memory
0.4MiB live, 444.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 374×accelerator-lowering-fma.f32
4 374×accelerator-lowering-fma.f64
2 558×*-lowering-*.f32
2 558×*-lowering-*.f64
2 276×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
18351
257850
3629550
0806347
Stop Event
iter limit
node limit
Counts
7 → 345
Calls
Call 1
Inputs
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(+ 1 (exp (- 0 s)))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
(exp (- 0 s))
Outputs
(exp.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (*.f64 c_n #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))) (/.f64 c_n #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (/.f64 #s(literal 2 binary64) c_n)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (/.f64 #s(literal 2 binary64) c_n)) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (/.f64 #s(literal 2 binary64) c_n))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 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))))) (*.f64 c_n #s(literal 1 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) #s(literal 2 binary64)) c_n) #s(literal 1/2 binary64))
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(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(-.f64 #s(literal 0 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) (exp.f64 (*.f64 s #s(literal -2 binary64))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))))
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(fma.f64 (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))))
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(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s)))))
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(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s)) (-.f64 (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 s))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) (exp.f64 (*.f64 s #s(literal -2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (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) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) #s(literal 1 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64))))) (+.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 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) (exp.f64 (*.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 s))))))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s))))) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s))))) (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) s) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -3 binary64) s)) (expm1.f64 (*.f64 #s(literal -3 binary64) s)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) s))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 s #s(literal -2 binary64)) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -3 binary64) s))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 s #s(literal -2 binary64)))) (expm1.f64 (-.f64 #s(literal 0 binary64) s)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 s #s(literal -2 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 s #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 s #s(literal -2 binary64)) (*.f64 s #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 s #s(literal -2 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 s)))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 s))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 s)))
(pow.f64 (exp.f64 s) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) s)
(pow.f64 (exp.f64 (*.f64 s (-.f64 #s(literal 0 binary64) (*.f64 s s)))) (/.f64 #s(literal 1 binary64) (*.f64 s s)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 s s))) (/.f64 #s(literal 1 binary64) s))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 s))) #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 s)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 s) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 s) #s(literal -1/2 binary64)))

simplify596.0ms (1.1%)

Memory
-12.1MiB live, 698.1MiB allocated
Algorithm
egg-herbie
Rules
14 772×accelerator-lowering-fma.f32
14 772×accelerator-lowering-fma.f64
5 470×+-lowering-+.f64
5 470×+-lowering-+.f32
4 858×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691078
14281058
210641037
329321027
469471027
08125948
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
1/2
(+ 1/2 (* -1/4 s))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
-1/2
(- (* -1/4 s) 1/2)
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
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)))
(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))))
1
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
Outputs
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 c_n s))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (*.f64 s (*.f64 (*.f64 c_n s) (+.f64 #s(literal -1/8 binary64) (*.f64 c_n #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 c_n s)))))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (*.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (*.f64 c_n #s(literal -1/2 binary64)) (*.f64 s (+.f64 (*.f64 c_n (+.f64 #s(literal -1/8 binary64) (*.f64 c_n #s(literal 1/8 binary64)))) (*.f64 (*.f64 s (*.f64 c_n c_n)) (+.f64 #s(literal 1/16 binary64) (*.f64 c_n #s(literal -1/48 binary64))))))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (*.f64 #s(literal 1/2 binary64) c_n))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (*.f64 (*.f64 c_n (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64))) (+.f64 #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))))) (*.f64 c_n #s(literal 1/6 binary64))))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
1/2
#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 #s(literal -1/4 binary64) (*.f64 s (*.f64 s #s(literal 1/48 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 #s(literal -1/4 binary64) (*.f64 (*.f64 s s) (+.f64 #s(literal 1/48 binary64) (*.f64 s (*.f64 s #s(literal -1/480 binary64))))))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 s) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 s #s(literal -1/4 binary64)))
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 s (+.f64 #s(literal -1/4 binary64) (*.f64 s (*.f64 s #s(literal 1/48 binary64))))))
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 s (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 s s) (+.f64 #s(literal 1/48 binary64) (*.f64 s (*.f64 s #s(literal -1/480 binary64))))))))
(/ -1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 s c_p)) (+.f64 #s(literal 1 binary64) (*.f64 s (*.f64 (*.f64 s c_p) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) c_p)))))))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(+.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 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) c_p))) (*.f64 (*.f64 s (*.f64 c_p c_p)) (+.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 1/48 binary64) c_p)))))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -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 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
(+ 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 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (+.f64 #s(literal -1 binary64) (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (*.f64 #s(literal 1/2 binary64) c_p))))))
(+ 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 (*.f64 c_p (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) (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64)))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 s (*.f64 s #s(literal -1/48 binary64))))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) (+.f64 #s(literal -1/48 binary64) (*.f64 s (*.f64 s #s(literal 1/480 binary64))))))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (* -1 s))
(-.f64 #s(literal 1 binary64) s)
(+ 1 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (neg s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp (* -1 s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))

eval133.0ms (0.3%)

Memory
-6.2MiB live, 147.1MiB allocated
Compiler

Compiled 11 837 to 1 634 computations (86.2% saved)

prune81.0ms (0.2%)

Memory
22.9MiB live, 180.4MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5675572
Fresh000
Picked123
Done000
Total5687575
Accuracy
100.0%
Counts
575 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
93.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
93.3%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
91.4%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
91.0%
(pow.f64 #s(literal 1/2 binary64) c_p)
93.3%
(pow.f64 #s(literal 1/2 binary64) c_n)
92.8%
#s(literal 1 binary64)
Compiler

Compiled 145 to 120 computations (17.2% saved)

simplify119.0ms (0.2%)

Memory
-23.3MiB live, 182.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
cost-diff0
(-.f64 #s(literal 2 binary64) s)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
cost-diff0
(pow.f64 #s(literal 1/2 binary64) c_p)
cost-diff0
(pow.f64 #s(literal 1/2 binary64) c_n)
cost-diff0
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
Rules
2 488×accelerator-lowering-fma.f32
2 488×accelerator-lowering-fma.f64
696×*-lowering-*.f32
696×*-lowering-*.f64
526×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027170
156170
2110170
3173170
4289170
5533170
61057170
71901170
82315170
92408170
102463170
112467170
122467170
02467147
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* 1/2 s)))))
1
(+ 2 (* s (+ -1 (* 1/2 s))))
2
(* s (+ -1 (* 1/2 s)))
s
(+ -1 (* 1/2 s))
-1
(* 1/2 s)
1/2
c_p
(pow 1/2 c_n)
1/2
c_n
(pow 1/2 c_p)
1/2
c_p
(pow (/ 1 (- 2 s)) c_p)
(/ 1 (- 2 s))
1
(- 2 s)
2
s
c_p
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6)))))))
1
(+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))
2
(* s (+ -1 (* s (+ 1/2 (* s -1/6)))))
s
(+ -1 (* s (+ 1/2 (* s -1/6))))
-1
(* s (+ 1/2 (* s -1/6)))
(+ 1/2 (* s -1/6))
1/2
(* s -1/6)
-1/6
c_p
Outputs
(pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* 1/2 s)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 2 (* s (+ -1 (* 1/2 s))))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(* s (+ -1 (* 1/2 s)))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))
s
(+ -1 (* 1/2 s))
(+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* 1/2 s)
(*.f64 s #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
c_p
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1/2
#s(literal 1/2 binary64)
c_n
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
c_p
(pow (/ 1 (- 2 s)) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/ 1 (- 2 s))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
1
#s(literal 1 binary64)
(- 2 s)
(-.f64 #s(literal 2 binary64) s)
2
#s(literal 2 binary64)
s
c_p
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1/2 binary64) (*.f64 s #s(literal 1/6 binary64)))))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6)))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1/2 binary64) (*.f64 s #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))
(-.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal -1/2 binary64) (*.f64 s #s(literal 1/6 binary64)))))))
2
#s(literal 2 binary64)
(* s (+ -1 (* s (+ 1/2 (* s -1/6)))))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
s
(+ -1 (* s (+ 1/2 (* s -1/6))))
(+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))
-1
#s(literal -1 binary64)
(* s (+ 1/2 (* s -1/6)))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
(+ 1/2 (* s -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* s -1/6)
(*.f64 s #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
c_p

localize91.0ms (0.2%)

Memory
-14.2MiB live, 183.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
accuracy99.5%
(*.f64 s #s(literal -1/6 binary64))
accuracy100.0%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
accuracy100.0%
(-.f64 #s(literal 2 binary64) s)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s))
accuracy100.0%
(pow.f64 #s(literal 1/2 binary64) c_p)
accuracy100.0%
(pow.f64 #s(literal 1/2 binary64) c_n)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) s)
accuracy100.0%
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))))
accuracy99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
Samples
53.0ms247×0valid
2.0ms0invalid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 11.0ms (30% of total)
ival-mult: 8.0ms (21.8% of total)
ival-add: 6.0ms (16.4% of total)
const: 6.0ms (16.4% of total)
ival-div: 5.0ms (13.6% of total)
ival-sub: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0%)

Memory
-1.8MiB live, 37.3MiB allocated
Counts
16 → 228
Calls
Call 1
Inputs
#<alt (pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)>
#<alt (/ 1 (+ 2 (* s (+ -1 (* 1/2 s)))))>
#<alt (+ 2 (* s (+ -1 (* 1/2 s))))>
#<alt (* s (+ -1 (* 1/2 s)))>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (/ 1 (- 2 s))>
#<alt (- 2 s)>
#<alt (pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)>
#<alt (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6)))))))>
#<alt (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))>
#<alt (* s (+ -1 (* s (+ 1/2 (* s -1/6)))))>
#<alt (* 1/2 s)>
#<alt (* s -1/6)>
#<alt (* s (+ 1/2 (* s -1/6)))>
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 (* (+ (* -1/12 c_p) (+ (* -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 (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (+ (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -16/3 c_p) (+ (* -4 (pow c_p 2)) (* 4/3 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))>
#<alt (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))) s)))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) s))) s)))>
#<alt (+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -4/3 (pow c_p 3)) (+ (* 4 (pow c_p 2)) (* 16/3 c_p)))) s)) (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2))))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2)))))))>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* -1/16 (pow s 2)))))>
#<alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* -1/32 s) 1/16)))))>
#<alt (/ 2 (pow s 2))>
#<alt (/ (+ 2 (* 4 (/ 1 s))) (pow s 2))>
#<alt (/ (- (+ 2 (* 4 (/ 1 s))) (/ 16 (pow s 3))) (pow s 2))>
#<alt (/ (+ 2 (+ (* -1 (/ (+ 16 (* 32 (/ 1 s))) (pow s 3))) (* 4 (/ 1 s)))) (pow s 2))>
#<alt (/ 2 (pow s 2))>
#<alt (/ (+ 2 (* 4 (/ 1 s))) (pow s 2))>
#<alt (/ (+ 2 (* -1 (/ (- (* 16 (/ 1 (pow s 2))) 4) s))) (pow s 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ (* 16 (/ 1 (pow s 2))) (/ 32 (pow s 3))) 4) s))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (* 1/2 (pow s 2))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))>
#<alt (* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))>
#<alt (* 1/2 (pow s 2))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))>
#<alt (* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))>
#<alt (* -1 s)>
#<alt (* s (- (* 1/2 s) 1))>
#<alt (* s (- (* 1/2 s) 1))>
#<alt (* s (- (* 1/2 s) 1))>
#<alt (* 1/2 (pow s 2))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* 1/2 (pow s 2))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt (* (pow s 2) (- 1/2 (/ 1 s)))>
#<alt 1>
#<alt (+ 1 (* c_n (log 1/2)))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt 1>
#<alt (+ 1 (* c_p (log 1/2)))>
#<alt (+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* 1/48 (pow c_p 3)) (+ (* 1/24 c_p) (* 1/16 (pow c_p 2)))) (pow 1/2 c_p))) (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (exp (* c_p (+ (log -1) (log (/ 1 s)))))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))>
#<alt (+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (+ (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 4/3 (pow c_p 3)) (+ (* 8/3 c_p) (* 4 (pow c_p 2))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))>
#<alt (pow (/ -1 s) c_p)>
#<alt (+ (* 2 (/ (* c_p (pow (/ -1 s) c_p)) s)) (pow (/ -1 s) c_p))>
#<alt (+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p)) s))) s)) (pow (/ -1 s) c_p))>
#<alt (+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (+ (* -1 (/ (* (+ (* -4 (pow c_p 2)) (+ (* -8/3 c_p) (* -4/3 (pow c_p 3)))) (pow (/ -1 s) c_p)) s)) (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p))) s))) s)) (pow (/ -1 s) c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (- 2 s)))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* 1/2 (* c_p (pow (log (/ 1 (- 2 s))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (- 2 s))) 3))) (* 1/2 (pow (log (/ 1 (- 2 s))) 2)))))))>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt (pow (/ 1 (- 2 s)) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* 1/8 s))))>
#<alt (+ 1/2 (* s (+ 1/4 (* s (+ 1/8 (* 1/16 s))))))>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* 2 (/ 1 s))) s))>
#<alt (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 s))) s)) 1) s)>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2))) (+ 1 (* 2 (/ 1 s)))) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* 2 (/ 1 s))) s))>
#<alt (* -1 (/ (+ 1 (+ (* 2 (/ 1 s)) (/ 4 (pow s 2)))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) s)) 2) s))) s))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* -1 s))>
#<alt (* -1 s)>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* s (- (* 2 (/ 1 s)) 1))>
#<alt (* -1 s)>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (* -1 (* s (- 1 (* 2 (/ 1 s)))))>
#<alt (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 (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))>
#<alt (+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)))>
#<alt (+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)) (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) (pow s 2))))>
#<alt (+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)) (+ (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -9/2 (pow c_p 2)) (+ (* 3 c_p) (* 9/2 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) (pow s 2)))))>
#<alt (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s))))))>
#<alt (+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* 3 (/ (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s))))))) s)))>
#<alt (+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) s))) s)))>
#<alt (+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -9/2 (pow c_p 3)) (+ (* -3 c_p) (* 9/2 (pow c_p 2))))) s)) (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2))))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2)))))))>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)>
#<alt (pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) 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) (- (* 1/96 s) 1/48)))))>
#<alt (/ -6 (pow s 3))>
#<alt (* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))>
#<alt (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 6) (pow s 3))>
#<alt (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) (pow s 2))) (+ 6 (* 18 (/ 1 s)))) (pow s 3))>
#<alt (/ -6 (pow s 3))>
#<alt (* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))>
#<alt (* -1 (/ (+ 6 (+ (* 18 (/ 1 s)) (/ 18 (pow s 2)))) (pow s 3)))>
#<alt (* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 18) s))) (pow s 3)))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (* -1/6 (pow s 3))>
#<alt (* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow s 3) (- (+ (* 1/2 (/ 1 s)) (* 2 (/ 1 (pow s 3)))) (+ 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (pow s 3))>
#<alt (* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))>
#<alt (* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))) s)))))>
#<alt (* -1 s)>
#<alt (* s (- (* 1/2 s) 1))>
#<alt (* s (- (* s (+ 1/2 (* -1/6 s))) 1))>
#<alt (* s (- (* s (+ 1/2 (* -1/6 s))) 1))>
#<alt (* -1/6 (pow s 3))>
#<alt (* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (pow s 3))>
#<alt (* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))>
#<alt (* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* 1/2 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* -1/6 s)>
#<alt (* 1/2 s)>
#<alt (* s (+ 1/2 (* -1/6 s)))>
#<alt (* s (+ 1/2 (* -1/6 s)))>
#<alt (* s (+ 1/2 (* -1/6 s)))>
#<alt (* -1/6 (pow s 2))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* -1/6 (pow s 2))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
#<alt (* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
s
@inf
(pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)
1.0ms
s
@inf
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
1.0ms
s
@-inf
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
1.0ms
c_p
@0
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
1.0ms
s
@-inf
(pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)

rewrite308.0ms (0.6%)

Memory
25.4MiB live, 583.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 350×*-lowering-*.f32
4 350×*-lowering-*.f64
4 026×/-lowering-/.f32
4 026×/-lowering-/.f64
2 620×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
1172130
21320127
08235108
Stop Event
iter limit
node limit
Counts
16 → 578
Calls
Call 1
Inputs
(pow (/ 1 (+ 2 (* s (+ -1 (* 1/2 s))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* 1/2 s)))))
(+ 2 (* s (+ -1 (* 1/2 s))))
(* s (+ -1 (* 1/2 s)))
(pow 1/2 c_n)
(pow 1/2 c_p)
(pow (/ 1 (- 2 s)) c_p)
(/ 1 (- 2 s))
(- 2 s)
(pow (/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))) c_p)
(/ 1 (+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6)))))))
(+ 2 (* s (+ -1 (* s (+ 1/2 (* s -1/6))))))
(* s (+ -1 (* s (+ 1/2 (* s -1/6)))))
(* 1/2 s)
(* s -1/6)
(* s (+ 1/2 (* s -1/6)))
Outputs
(exp.f64 (*.f64 c_p (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) c_p)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (+.f64 (/.f64 c_p #s(literal 2 binary64)) (/.f64 c_p #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))))) (/.f64 c_p #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) c_p)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) c_p)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) c_p))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) c_p))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (*.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 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) (+.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 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64)))))) (*.f64 (/.f64 c_p #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s #s(literal 1/2 binary64))))))) (/.f64 c_p #s(literal 2 binary64)))
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(fma.f64 #s(literal 1/2 binary64) s (*.f64 s (*.f64 s #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 s s) (*.f64 s #s(literal 1/2 binary64)))
(fma.f64 (*.f64 s #s(literal -1/6 binary64)) s (*.f64 s #s(literal 1/2 binary64)))
(fma.f64 (*.f64 s s) #s(literal -1/6 binary64) (*.f64 s #s(literal 1/2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (-.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (*.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s s))) (*.f64 (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)) (*.f64 s (*.f64 s s))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 s (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s)) (*.f64 s (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))) s)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))) s)))
(/.f64 s (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s s))) (*.f64 (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)) (*.f64 s (*.f64 s s)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (-.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (*.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))) (-.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))))
(/.f64 (*.f64 s (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 s (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))) s) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))) s) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s s))) (*.f64 (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)) (*.f64 s (*.f64 s s))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (-.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (*.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))))) (neg.f64 (-.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 s (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 s (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))) s)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))) s)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)) (*.f64 s (*.f64 s s))) (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s s)))) (+.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 s s))) (-.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))) s)
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s s))) (*.f64 (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)) (*.f64 s (*.f64 s s)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (-.f64 (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64)))) (*.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s #s(literal -1/6 binary64))) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 s #s(literal 1/2 binary64)) (*.f64 s (*.f64 s #s(literal -1/6 binary64))))))
(*.f64 (*.f64 s (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 s (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s))))
(*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 s s)) #s(literal -1/216 binary64))) s) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s #s(literal -1/6 binary64)) (+.f64 (*.f64 s #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal 1/36 binary64))) s) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) s))))

simplify484.0ms (0.9%)

Memory
-16.3MiB live, 700.2MiB allocated
Algorithm
egg-herbie
Rules
10 430×accelerator-lowering-fma.f32
10 430×accelerator-lowering-fma.f64
6 336×*-lowering-*.f32
6 336×*-lowering-*.f64
5 176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05223062
114992948
242772719
082312501
Stop Event
iter limit
node limit
Counts
228 → 228
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 (* (+ (* -1/12 c_p) (+ (* -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))
(exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (+ (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -16/3 c_p) (+ (* -4 (pow c_p 2)) (* 4/3 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))
(exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))) s)))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) s))) s)))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -4/3 (pow c_p 3)) (+ (* 4 (pow c_p 2)) (* 16/3 c_p)))) s)) (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2))))) s))) s)))
1
(+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2)))))))
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/16 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* -1/32 s) 1/16)))))
(/ 2 (pow s 2))
(/ (+ 2 (* 4 (/ 1 s))) (pow s 2))
(/ (- (+ 2 (* 4 (/ 1 s))) (/ 16 (pow s 3))) (pow s 2))
(/ (+ 2 (+ (* -1 (/ (+ 16 (* 32 (/ 1 s))) (pow s 3))) (* 4 (/ 1 s)))) (pow s 2))
(/ 2 (pow s 2))
(/ (+ 2 (* 4 (/ 1 s))) (pow s 2))
(/ (+ 2 (* -1 (/ (- (* 16 (/ 1 (pow s 2))) 4) s))) (pow s 2))
(/ (+ 2 (* -1 (/ (- (+ (* 16 (/ 1 (pow s 2))) (/ 32 (pow s 3))) 4) s))) (pow s 2))
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_n (log 1/2)))
(+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
1
(+ 1 (* c_p (log 1/2)))
(+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))
(+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* 1/48 (pow c_p 3)) (+ (* 1/24 c_p) (* 1/16 (pow c_p 2)))) (pow 1/2 c_p))) (* (+ (* 1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(exp (* c_p (+ (log -1) (log (/ 1 s)))))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))
(+ (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log -1) (log (/ 1 s)))))) s)) (+ (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 4/3 (pow c_p 3)) (+ (* 8/3 c_p) (* 4 (pow c_p 2))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -1) (log (/ 1 s))))) (+ (* 2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))
(pow (/ -1 s) c_p)
(+ (* 2 (/ (* c_p (pow (/ -1 s) c_p)) s)) (pow (/ -1 s) c_p))
(+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p)) s))) s)) (pow (/ -1 s) c_p))
(+ (* -1 (/ (+ (* -2 (* c_p (pow (/ -1 s) c_p))) (* -1 (/ (+ (* -1 (/ (* (+ (* -4 (pow c_p 2)) (+ (* -8/3 c_p) (* -4/3 (pow c_p 3)))) (pow (/ -1 s) c_p)) s)) (* (+ (* 2 c_p) (* 2 (pow c_p 2))) (pow (/ -1 s) c_p))) s))) s)) (pow (/ -1 s) c_p))
1
(+ 1 (* c_p (log (/ 1 (- 2 s)))))
(+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* 1/2 (* c_p (pow (log (/ 1 (- 2 s))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (- 2 s))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (- 2 s))) 3))) (* 1/2 (pow (log (/ 1 (- 2 s))) 2)))))))
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
(pow (/ 1 (- 2 s)) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* 1/8 s))))
(+ 1/2 (* s (+ 1/4 (* s (+ 1/8 (* 1/16 s))))))
(/ -1 s)
(* -1 (/ (+ 1 (* 2 (/ 1 s))) s))
(/ (- (* -1 (/ (+ 2 (* 4 (/ 1 s))) s)) 1) s)
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2))) (+ 1 (* 2 (/ 1 s)))) s)
(/ -1 s)
(* -1 (/ (+ 1 (* 2 (/ 1 s))) s))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 s)) (/ 4 (pow s 2)))) s))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 s))) s)) 2) s))) s))
2
(+ 2 (* -1 s))
(+ 2 (* -1 s))
(+ 2 (* -1 s))
(* -1 s)
(* s (- (* 2 (/ 1 s)) 1))
(* s (- (* 2 (/ 1 s)) 1))
(* s (- (* 2 (/ 1 s)) 1))
(* -1 s)
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(* -1 (* s (- 1 (* 2 (/ 1 s)))))
(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))
(exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))
(+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)))
(+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)) (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) (pow s 2))))
(+ (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* 3 (/ (* c_p (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s))))))) s)) (+ (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -9/2 (pow c_p 2)) (+ (* 3 c_p) (* 9/2 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* c_p (+ (log -6) (* 3 (log (/ 1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) (pow s 2)))))
(exp (* c_p (+ (log 6) (* 3 (log (/ -1 s))))))
(+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* 3 (/ (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s))))))) s)))
(+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) s))) s)))
(+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -9/2 (pow c_p 3)) (+ (* -3 c_p) (* 9/2 (pow c_p 2))))) s)) (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2))))) s))) s)))
1
(+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2)))))))
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) 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) (- (* 1/96 s) 1/48)))))
(/ -6 (pow s 3))
(* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))
(/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 6) (pow s 3))
(/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) (pow s 2))) (+ 6 (* 18 (/ 1 s)))) (pow s 3))
(/ -6 (pow s 3))
(* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))
(* -1 (/ (+ 6 (+ (* 18 (/ 1 s)) (/ 18 (pow s 2)))) (pow s 3)))
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 18) s))) (pow s 3)))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(* -1/6 (pow s 3))
(* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(* (pow s 3) (- (+ (* 1/2 (/ 1 s)) (* 2 (/ 1 (pow s 3)))) (+ 1/6 (/ 1 (pow s 2)))))
(* -1/6 (pow s 3))
(* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))) s)))))
(* -1 s)
(* s (- (* 1/2 s) 1))
(* s (- (* s (+ 1/2 (* -1/6 s))) 1))
(* s (- (* s (+ 1/2 (* -1/6 s))) 1))
(* -1/6 (pow s 3))
(* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(* -1/6 (pow s 3))
(* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* -1/6 s)
(* 1/2 s)
(* s (+ 1/2 (* -1/6 s)))
(* s (+ 1/2 (* -1/6 s)))
(* s (+ 1/2 (* -1/6 s)))
(* -1/6 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(* -1/6 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
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 (+.f64 (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (+.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (*.f64 c_p (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64))))))))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/12 c_p) (+ (* -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 (*.f64 (+.f64 (*.f64 s (*.f64 #s(literal 1/2 binary64) c_p)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (+.f64 (*.f64 c_p (+.f64 #s(literal -1/8 binary64) (*.f64 c_p #s(literal 1/8 binary64)))) (*.f64 s (+.f64 (*.f64 c_p #s(literal -1/12 binary64)) (*.f64 (*.f64 c_p c_p) (+.f64 #s(literal -1/16 binary64) (*.f64 c_p #s(literal 1/48 binary64))))))))))
(exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))
(*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)))
(+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 c_p #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))) s))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2))))
(+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) s) (+.f64 (*.f64 c_p #s(literal 2 binary64)) (/.f64 (*.f64 c_p (+.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 2 binary64)))) s))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s))))))) s)) (+ (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -16/3 c_p) (+ (* -4 (pow c_p 2)) (* 4/3 (pow c_p 3))))) (pow s 3)) (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ 1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) (pow s 2)))))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) s) (+.f64 (*.f64 c_p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 c_p #s(literal -16/3 binary64)) (*.f64 (*.f64 c_p c_p) (+.f64 #s(literal -4 binary64) (*.f64 c_p #s(literal 4/3 binary64))))) (*.f64 s s)))) (*.f64 (+.f64 (/.f64 (*.f64 c_p (+.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 2 binary64)))) (*.f64 s s)) #s(literal 1 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))))
(exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))
(*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* 2 (/ (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s))))))) s)))
(+.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 c_p #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))) s))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2)))) s))) s)))
(-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (-.f64 (*.f64 c_p #s(literal -2 binary64)) (/.f64 (*.f64 c_p (+.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 2 binary64)))) s))) s))
(+ (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (* -1 (/ (+ (* -2 (* c_p (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -4/3 (pow c_p 3)) (+ (* 4 (pow c_p 2)) (* 16/3 c_p)))) s)) (* (exp (* c_p (+ (log 2) (* 2 (log (/ -1 s)))))) (+ (* -2 c_p) (* 2 (pow c_p 2))))) s))) s)))
(-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 c_p #s(literal -2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 2 binary64)))) (-.f64 (*.f64 c_p (+.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 c_p #s(literal 16/3 binary64)) (*.f64 (*.f64 c_p c_p) (+.f64 (*.f64 c_p #s(literal -4/3 binary64)) #s(literal 4 binary64)))) s))) s)) s))
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* 1/2 s) 1))))) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 c_p (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))))) #s(literal 2 binary64)) (+.f64 (neg.f64 (*.f64 (*.f64 c_p #s(literal 1/6 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))))) #s(literal 1/2 binary64)))) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))))))
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* 1/2 s) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64)))
(+ 1/2 (* s (+ 1/4 (* -1/16 (pow s 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 s (*.f64 s #s(literal -1/16 binary64))))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* -1/32 s) 1/16)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 s (*.f64 s (+.f64 #s(literal -1/16 binary64) (*.f64 s #s(literal -1/32 binary64))))))))
(/ 2 (pow s 2))
(/.f64 #s(literal 2 binary64) (*.f64 s s))
(/ (+ 2 (* 4 (/ 1 s))) (pow s 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) s)) (*.f64 s s))
(/ (- (+ 2 (* 4 (/ 1 s))) (/ 16 (pow s 3))) (pow s 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) s)) (/.f64 #s(literal -16 binary64) (*.f64 s (*.f64 s s)))) (*.f64 s s))
(/ (+ 2 (+ (* -1 (/ (+ 16 (* 32 (/ 1 s))) (pow s 3))) (* 4 (/ 1 s)))) (pow s 2))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) s)) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 32 binary64) s)) (*.f64 s (*.f64 s s)))) (*.f64 s s))
(/ 2 (pow s 2))
(/.f64 #s(literal 2 binary64) (*.f64 s s))
(/ (+ 2 (* 4 (/ 1 s))) (pow s 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) s)) (*.f64 s s))
(/ (+ 2 (* -1 (/ (- (* 16 (/ 1 (pow s 2))) 4) s))) (pow s 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 s s))) s)) (*.f64 s s))
(/ (+ 2 (* -1 (/ (- (+ (* 16 (/ 1 (pow s 2))) (/ 32 (pow s 3))) 4) s))) (pow s 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 s s))) (/.f64 #s(literal 32 binary64) (*.f64 s (*.f64 s s)))) s)) (*.f64 s s))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(* 1/2 (pow s 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 s s))
(* (pow s 2) (- 1/2 (/ 1 s)))
(*.f64 (*.f64 s s) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)))
(* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))
(*.f64 (*.f64 s s) (+.f64 (/.f64 #s(literal -1 binary64) s) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 s s)))))
(* (pow s 2) (- (+ 1/2 (/ 2 (pow s 2))) (/ 1 s)))
(*.f64 (*.f64 s s) (+.f64 (/.f64 #s(literal -1 binary64) s) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 s s)))))
(* 1/2 (pow s 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 s s))
(* (pow s 2) (- 1/2 (/ 1 s)))
(*.f64 (*.f64 s s) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)))
(* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))
(*.f64 (*.f64 s s) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) s)) s)))
(* (pow s 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))))
(*.f64 (*.f64 s s) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) s)) s)))
(* -1 s)
(-.f64 #s(literal 0 binary64) s)
(* s (- (* 1/2 s) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
(* s (- (* 1/2 s) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
(* s (- (* 1/2 s) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (pow s 2))
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(+.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 c_p #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64))))) s))
(+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2)))) s))) s)))
(-.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (-.f64 (*.f64 c_p #s(literal -3 binary64)) (/.f64 (*.f64 c_p (+.f64 #s(literal -3/2 binary64) (*.f64 c_p #s(literal 9/2 binary64)))) s))) s))
(+ (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (* -1 (/ (+ (* -3 (* c_p (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -9/2 (pow c_p 3)) (+ (* -3 c_p) (* 9/2 (pow c_p 2))))) s)) (* (exp (* c_p (+ (log 6) (* 3 (log (/ -1 s)))))) (+ (* -3/2 c_p) (* 9/2 (pow c_p 2))))) s))) s)))
(-.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (*.f64 c_p #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 6 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 c_p #s(literal 3 binary64)))) (-.f64 (*.f64 c_p (+.f64 #s(literal -3/2 binary64) (*.f64 c_p #s(literal 9/2 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 c_p c_p) (+.f64 (*.f64 c_p #s(literal -9/2 binary64)) #s(literal 9/2 binary64))) (*.f64 c_p #s(literal -3 binary64))) s))) s)) s))
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 3))) (* 1/2 (pow (log (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))))) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (-.f64 (*.f64 c_p (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))))) #s(literal 2 binary64)) (+.f64 (neg.f64 (*.f64 (*.f64 c_p #s(literal 1/6 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))))) #s(literal 1/2 binary64)))) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))))))
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(pow (/ 1 (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal 1/4 binary64)))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) #s(literal -1/48 binary64)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/96 s) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 s (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 s s) (+.f64 #s(literal -1/48 binary64) (*.f64 s #s(literal 1/96 binary64)))))))
(/ -6 (pow s 3))
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s)
(* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) s)) (*.f64 s (*.f64 s s)))
(/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 6) (pow s 3))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -18 binary64) (/.f64 #s(literal -18 binary64) s)) s)) (*.f64 s (*.f64 s s)))
(/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) (pow s 2))) (+ 6 (* 18 (/ 1 s)))) (pow s 3))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -18 binary64) (/.f64 #s(literal -18 binary64) s)) s) #s(literal -18 binary64)) s) #s(literal -6 binary64)) (*.f64 s (*.f64 s s)))
(/ -6 (pow s 3))
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s)
(* -1 (/ (+ 6 (* 18 (/ 1 s))) (pow s 3)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) s)) (*.f64 s (*.f64 s s)))
(* -1 (/ (+ 6 (+ (* 18 (/ 1 s)) (/ 18 (pow s 2)))) (pow s 3)))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) s) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 s s)))) (-.f64 #s(literal 0 binary64) (*.f64 s (*.f64 s s))))
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (+ 18 (* 18 (/ 1 s))) s)) 18) s))) (pow s 3)))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -18 binary64) (/.f64 #s(literal -18 binary64) s)) s) #s(literal -18 binary64)) s)) (-.f64 #s(literal 0 binary64) (*.f64 s (*.f64 s s))))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))
(* -1/6 (pow s 3))
(*.f64 s (*.f64 (*.f64 s s) #s(literal -1/6 binary64)))
(* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 (*.f64 s s) (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(*.f64 s (*.f64 (*.f64 s s) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s) #s(literal -1/6 binary64))))
(* (pow s 3) (- (+ (* 1/2 (/ 1 s)) (* 2 (/ 1 (pow s 3)))) (+ 1/6 (/ 1 (pow s 2)))))
(*.f64 (*.f64 s (*.f64 s s)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s) #s(literal -1/6 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 s (*.f64 s s)))))
(* -1/6 (pow s 3))
(*.f64 s (*.f64 (*.f64 s s) #s(literal -1/6 binary64)))
(* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))
(*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 s))) s))) s)))))
(*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) s)) s)) s))))
(* -1 s)
(-.f64 #s(literal 0 binary64) s)
(* s (- (* 1/2 s) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s)))
(* s (- (* s (+ 1/2 (* -1/6 s))) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
(* s (- (* s (+ 1/2 (* -1/6 s))) 1))
(*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))))
(* -1/6 (pow s 3))
(*.f64 s (*.f64 (*.f64 s s) #s(literal -1/6 binary64)))
(* (pow s 3) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 (*.f64 s s) (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(*.f64 s (*.f64 (*.f64 s s) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s) #s(literal -1/6 binary64))))
(* (pow s 3) (- (* 1/2 (/ 1 s)) (+ 1/6 (/ 1 (pow s 2)))))
(*.f64 s (*.f64 (*.f64 s s) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s) #s(literal -1/6 binary64))))
(* -1/6 (pow s 3))
(*.f64 s (*.f64 (*.f64 s s) #s(literal -1/6 binary64)))
(* -1 (* (pow s 3) (- 1/6 (* 1/2 (/ 1 s)))))
(*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s))))
(* -1 (* (pow s 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 s)) s)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 s (*.f64 s s)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) s)) s))))
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* -1/6 s)
(*.f64 s #s(literal -1/6 binary64))
(* 1/2 s)
(*.f64 #s(literal 1/2 binary64) s)
(* s (+ 1/2 (* -1/6 s)))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
(* s (+ 1/2 (* -1/6 s)))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
(* s (+ 1/2 (* -1/6 s)))
(*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64))))
(* -1/6 (pow s 2))
(*.f64 (*.f64 s s) #s(literal -1/6 binary64))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* -1/6 (pow s 2))
(*.f64 (*.f64 s s) #s(literal -1/6 binary64))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/6))
(*.f64 s (*.f64 s (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) s))))

eval237.0ms (0.5%)

Memory
24.2MiB live, 220.5MiB allocated
Compiler

Compiled 21 778 to 2 755 computations (87.3% saved)

prune322.0ms (0.6%)

Memory
-14.0MiB live, 273.7MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New8015806
Fresh000
Picked325
Done112
Total8058813
Accuracy
100.0%
Counts
813 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.2%
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p)
54.7%
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
88.9%
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (+.f64 (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))) (*.f64 #s(literal 8 binary64) (*.f64 s (*.f64 s s))))) (+.f64 #s(literal 4 binary64) (*.f64 s (+.f64 #s(literal 2 binary64) s)))))) c_p)
45.8%
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
91.0%
(pow.f64 #s(literal 1/2 binary64) c_p)
93.3%
(pow.f64 #s(literal 1/2 binary64) c_n)
87.7%
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p))
92.8%
#s(literal 1 binary64)
Compiler

Compiled 454 to 192 computations (57.7% saved)

regimes118.0ms (0.2%)

Memory
18.1MiB live, 96.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (+.f64 (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))) (*.f64 #s(literal 8 binary64) (*.f64 s (*.f64 s s))))) (+.f64 #s(literal 4 binary64) (*.f64 s (+.f64 #s(literal 2 binary64) 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.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)
(/.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) (exp.f64 (-.f64 #s(literal 0 binary64) 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 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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
Outputs
(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)
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
Calls

13 calls:

34.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
29.0ms
s
5.0ms
(neg.f64 t)
5.0ms
t
5.0ms
c_p
Results
AccuracySegmentsBranch
93.6%1c_p
95.5%2c_n
95.9%2t
98.5%3s
95.8%2(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
98.1%3(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
98.1%3(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
98.5%3(exp.f64 (neg.f64 s))
98.5%3(neg.f64 s)
93.6%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
93.6%1(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
93.6%1(exp.f64 (neg.f64 t))
95.9%2(neg.f64 t)
Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes7.0ms (0%)

Memory
-29.8MiB live, 9.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (+.f64 (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))) (*.f64 #s(literal 8 binary64) (*.f64 s (*.f64 s s))))) (+.f64 #s(literal 4 binary64) (*.f64 s (+.f64 #s(literal 2 binary64) 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)
Outputs
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

1 calls:

5.0ms
s
Results
AccuracySegmentsBranch
97.7%3s
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) s))))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 s (+.f64 #s(literal -1 binary64) (*.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (+.f64 (*.f64 (*.f64 s (*.f64 s s)) (*.f64 s (*.f64 s s))) (*.f64 #s(literal 8 binary64) (*.f64 s (*.f64 s s))))) (+.f64 #s(literal 4 binary64) (*.f64 s (+.f64 #s(literal 2 binary64) s)))))) c_p)
Outputs
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

2 calls:

4.0ms
s
4.0ms
t
Results
AccuracySegmentsBranch
95.1%2t
97.4%3s
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
Outputs
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

1 calls:

2.0ms
s
Results
AccuracySegmentsBranch
97.4%3s
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
Outputs
(pow.f64 (/.f64 #s(literal -1 binary64) s) c_p)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

2 calls:

2.0ms
s
2.0ms
c_n
Results
AccuracySegmentsBranch
93.3%1c_n
97.0%3s
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0%)

Memory
-28.4MiB live, 11.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
Outputs
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
Calls

3 calls:

7.0ms
t
2.0ms
c_p
2.0ms
s
Results
AccuracySegmentsBranch
95.1%2t
93.3%1c_p
95.1%2s
Compiler

Compiled 15 to 12 computations (20% saved)

regimes4.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Outputs
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
Calls

2 calls:

1.0ms
t
1.0ms
s
Results
AccuracySegmentsBranch
95.1%2s
93.3%1t
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
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
t
1.0ms
c_p
1.0ms
c_n
1.0ms
s
Results
AccuracySegmentsBranch
92.8%1c_p
92.8%1t
92.8%1c_n
92.8%1s
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
28271741.1994885
6.464573771221065e+37
0.0ms
-6.060276937777546e+28
-88.82497126397723
Compiler

Compiled 49 to 29 computations (40.8% saved)

bsearch1.3s (2.6%)

Memory
18.3MiB live, 1 467.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
4.194480919828665e-14
4.531027489673006e-12
1.2s
-6.464573771221065e+37
-28271741.1994885
Samples
1.0s1 009×5exit
63.0ms12×4valid
43.0ms263×0valid
5.0ms13×1valid
Compiler

Compiled 379 to 318 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 946.0ms
ival-pow: 311.0ms (32.9% of total)
adjust: 178.0ms (18.8% of total)
ival-div: 116.0ms (12.3% of total)
ival-neg: 110.0ms (11.6% of total)
ival-add: 81.0ms (8.6% of total)
ival-exp: 60.0ms (6.3% of total)
ival-sub: 48.0ms (5.1% of total)
ival-mult: 39.0ms (4.1% of total)
exact: 2.0ms (0.2% of total)
ival-assert: 1.0ms (0.1% of total)
ival-true: 1.0ms (0.1% of total)

bsearch675.0ms (1.3%)

Memory
14.4MiB live, 1 321.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
7.0ms
4.194480919828665e-14
4.531027489673006e-12
610.0ms
-6.464573771221065e+37
-28271741.1994885
Samples
530.0ms675×5exit
17.0ms101×0valid
11.0ms4valid
3.0ms1valid
Compiler

Compiled 178 to 135 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 487.0ms
adjust: 139.0ms (28.5% of total)
ival-pow: 139.0ms (28.5% of total)
ival-div: 57.0ms (11.7% of total)
ival-exp: 37.0ms (7.6% of total)
ival-sub: 34.0ms (7% of total)
ival-add: 30.0ms (6.2% of total)
ival-neg: 26.0ms (5.3% of total)
ival-mult: 23.0ms (4.7% of total)
exact: 1.0ms (0.2% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)

bsearch673.0ms (1.3%)

Memory
43.1MiB live, 1 371.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
4.194480919828665e-14
4.531027489673006e-12
609.0ms
-6.464573771221065e+37
-28271741.1994885
Samples
508.0ms652×5exit
33.0ms195×0valid
15.0ms4valid
3.0ms1valid
Compiler

Compiled 276 to 220 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-pow: 162.0ms (33.7% of total)
adjust: 108.0ms (22.5% of total)
ival-div: 53.0ms (11% of total)
ival-exp: 48.0ms (10% of total)
ival-mult: 29.0ms (6% of total)
ival-neg: 27.0ms (5.6% of total)
ival-add: 27.0ms (5.6% of total)
ival-sub: 26.0ms (5.4% of total)
exact: 1.0ms (0.2% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)

bsearch782.0ms (1.5%)

Memory
9.7MiB live, 1 223.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
22.0ms
4.194480919828665e-14
4.531027489673006e-12
701.0ms
-6.464573771221065e+37
-28271741.1994885
Samples
594.0ms664×5exit
37.0ms228×0valid
14.0ms4valid
2.0ms1valid
Compiler

Compiled 276 to 232 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 526.0ms
ival-pow: 143.0ms (27.2% of total)
adjust: 110.0ms (20.9% of total)
ival-div: 61.0ms (11.6% of total)
ival-exp: 61.0ms (11.6% of total)
ival-neg: 59.0ms (11.2% of total)
ival-sub: 33.0ms (6.3% of total)
ival-add: 32.0ms (6.1% of total)
ival-mult: 25.0ms (4.7% of total)
exact: 1.0ms (0.2% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.1%)

Memory
-16.3MiB live, 20.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
60.0ms
9.603553904175647e-102
5.2720985292135343e-101
Samples
57.0ms63×0valid
0.0ms0exit
0.0ms1valid
Compiler

Compiled 114 to 85 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-sub: 48.0ms (87% of total)
ival-pow: 2.0ms (3.6% of total)
ival-div: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-exp: 1.0ms (1.8% of total)
ival-mult: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch26.0ms (0.1%)

Memory
11.0MiB live, 49.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
24.0ms
4.194480919828665e-14
4.531027489673006e-12
Samples
18.0ms106×0valid
2.0ms1valid
Compiler

Compiled 148 to 120 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 7.0ms (43.4% of total)
ival-div: 2.0ms (12.4% of total)
ival-exp: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
ival-neg: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
ival-mult: 1.0ms (6.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify14.0ms (0%)

Memory
-29.8MiB live, 22.4MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065128
172128
274128
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (neg.f64 s) #s(literal -49999999999999995716575428608 binary64)) (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) (if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)))
(if (<=.f64 s #s(literal -750000000 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (if (<=.f64 s #s(literal 1064628433785427/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -2000000000 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p) (if (<=.f64 s #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -29000000 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p) (if (<=.f64 s #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -40000000 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) s) c_p) (if (<=.f64 s #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 t #s(literal 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))
(if (<=.f64 s #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (neg.f64 s) #s(literal -49999999999999995716575428608 binary64)) (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) (if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)))
(if (<=.f64 (-.f64 #s(literal 0 binary64) s) #s(literal -49999999999999995716575428608 binary64)) (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) (if (<=.f64 (-.f64 #s(literal 0 binary64) s) #s(literal 50000000 binary64)) #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)))
(if (<=.f64 s #s(literal -750000000 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (if (<=.f64 s #s(literal 1064628433785427/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -2000000000 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 s s)) s) c_p) (if (<=.f64 s #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -29000000 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 s s)) c_p) (if (<=.f64 s #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 s #s(literal -40000000 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) s) c_p) (if (<=.f64 s #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(if (<=.f64 t #s(literal 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))
(if (<=.f64 s #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)

soundness969.0ms (1.9%)

Memory
39.6MiB live, 824.6MiB allocated
Rules
14 772×accelerator-lowering-fma.f32
14 772×accelerator-lowering-fma.f64
14 340×accelerator-lowering-fma.f32
14 340×accelerator-lowering-fma.f64
12 910×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691078
14281058
210641037
329321027
469471027
08125948
04357149
113646564
249646021
090405694
078113248
1239712830
2718712800
0824012059
05223062
114992948
242772719
082312501
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 936 to 593 computations (36.6% saved)

preprocess64.0ms (0.1%)

Memory
-25.5MiB live, 128.9MiB allocated
Compiler

Compiled 426 to 212 computations (50.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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