Metrics for Harley's example

analyze838.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
0%	0%	25%	75%	0%	0%	0%	2
0%	0%	25%	75%	0%	0%	0%	3
0%	0%	25%	75%	0%	0%	0%	4
0%	0%	25%	75%	0%	0%	0%	5
0%	0%	23.4%	75%	0%	0%	1.6%	6
0%	0%	21.1%	75%	0%	0%	3.9%	7
15.7%	3.1%	16.8%	75%	0%	0%	5.1%	8
17.2%	3.1%	15%	75%	0%	0%	6.8%	9
18.9%	3.1%	13.4%	75%	0%	0%	8.5%	10
21%	3.1%	11.7%	75%	0%	0%	10.1%	11
22.7%	3.1%	10.6%	75%	0%	0%	11.2%	12

Compiler

Compiled 54 to 26 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 539.0ms

ival-pow: 307.0ms (57% of total)

ival-div: 69.0ms (12.8% of total)

ival-exp: 36.0ms (6.7% of total)

ival-add: 26.0ms (4.8% of total)

ival-mult: 25.0ms (4.6% of total)

ival-sub: 25.0ms (4.6% of total)

ival-neg: 24.0ms (4.5% of total)

ival-<: 19.0ms (3.5% of total)

ival-and: 3.0ms (0.6% of total)

const: 3.0ms (0.6% of total)

backward-pass: 1.0ms (0.2% of total)

sample2.3min (89.9%)

Results

1.9min	15328×	5	exit
12.2s	39354×	0	unsamplable
2.0s	8028×	0	valid
246.0ms	5×	5	valid
163.0ms	24×	3	valid
140.0ms	22×	4	valid
105.0ms	159×	1	valid
50.0ms	69×	1	unsamplable
22.0ms	18×	2	valid
12.0ms	1×	3	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 2.0min

ival-pow: 1.7min (85.7% of total)

ival-div: 4.3s (3.5% of total)

backward-pass: 2.4s (1.9% of total)

ival-mult: 2.3s (1.9% of total)

ival-exp: 2.2s (1.8% of total)

ival-add: 2.0s (1.6% of total)

ival-sub: 1.9s (1.6% of total)

ival-neg: 1.5s (1.2% of total)

ival-<: 678.0ms (0.6% of total)

const: 177.0ms (0.1% of total)

ival-and: 86.0ms (0.1% of total)

Bogosity

preprocess121.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1936×	`fnmadd-define`
1576×	`fma-define`
1304×	`fmsub-define`
1216×	`sum3-define`
868×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	589
1	262	589
2	709	589
3	1501	589
4	2477	589
5	3419	589
6	4534	589
7	5383	589
8	7269	589
0	22	39
1	50	39
2	90	39
3	132	39
4	194	39
5	273	39
6	370	39
7	468	39
8	528	39
9	580	39
10	586	39
11	600	39
0	600	39

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

Outputs

(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)))

Call 2

Inputs
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n)))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_p)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg c_p)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_p)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) t)) (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) t)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) s)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) s)))
(/ (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))

Outputs
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/ (* (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (recip (+ 1 (recip (exp s)))) (neg c_p))) (* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) (neg c_p))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n))))
(/ (* (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (- 1 (recip (+ 1 (recip (exp s))))) (neg c_n))) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) (neg c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n)))
(/ (* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (recip (+ 1 (exp t))) c_p))) (pow (+ 1 (recip (- -1 (exp t)))) c_n))
(/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (recip (+ 1 (exp s))) c_p) (/ (pow (+ 1 (recip (- -1 (exp s)))) c_n) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) (neg c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(* (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (/ (pow (recip (+ 1 (recip (exp s)))) (neg c_p)) (fnmsub (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) (neg c_p)) 0)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) (neg c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) (neg c_n)))))
(* (/ (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (recip (+ 1 (recip (exp t)))) c_p)) (/ (neg (pow (- 1 (recip (+ 1 (recip (exp s))))) (neg c_n))) (pow (+ 1 (recip (- -1 (recip (exp t))))) (neg c_n))))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg (neg t))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg t)))))) c_n))))
(* (pow (recip (+ 1 (recip (exp s)))) c_p) (/ (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (neg (pow (recip (+ 1 (exp t))) c_p))) (pow (+ 1 (recip (- -1 (exp t)))) c_n)))
(neg (/ (* (pow (/ 1 (+ 1 (exp (neg (neg s))))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg (neg s)))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))
(* (pow (recip (+ 1 (exp s))) c_p) (/ (neg (pow (+ 1 (recip (- -1 (exp s)))) c_n)) (* (pow (recip (+ 1 (recip (exp t)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_p)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_p)))
(/ (/ (* (pow (recip (+ 1 (recip (exp s)))) c_n) (pow (- 1 (recip (+ 1 (recip (exp s))))) c_p)) (pow (recip (+ 1 (recip (exp t)))) c_n)) (pow (+ 1 (recip (- -1 (recip (exp t))))) c_p))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg c_p)))) t) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)))
(* (/ (pow (recip (+ 1 (recip (exp s)))) t) (pow (recip (+ 1 (recip (exp c_p)))) t)) (/ (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n) (pow (+ 1 (recip (- -1 (recip (exp c_p))))) c_n)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_p)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg c_p))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) s) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (+ 1 (recip (- -1 (recip (exp c_p))))) c_n) (/ (pow (recip (+ 1 (recip (exp c_p)))) s) (* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (pow (recip (+ 1 (recip (exp t)))) s))))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) t)) (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) t)))
(* (pow (- 1 (recip (+ 1 (recip (exp s))))) t) (/ (/ (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp c_n))))) t)) (pow (recip (+ 1 (recip (exp c_n)))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg c_n)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg c_n))))) s)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) s)))
(* (/ (pow (recip (+ 1 (recip (exp c_n)))) c_p) (pow (+ 1 (recip (- -1 (recip (exp t))))) s)) (/ (pow (+ 1 (recip (- -1 (recip (exp c_n))))) s) (pow (recip (+ 1 (recip (exp t)))) c_p)))
(/ (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))
(* (pow (+ 1 (recip (- -1 (recip (exp t))))) c_n) (/ (pow (recip (+ 1 (recip (exp t)))) c_p) (* (pow (recip (+ 1 (recip (exp s)))) c_p) (pow (- 1 (recip (+ 1 (recip (exp s))))) c_n))))

explain344.0ms (0.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
10	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)))`
2	2	(5.741326497198208e+159 1.0103371640582284e-6 2810.1333176048283 -7.943458641169386e+231)	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`
1	2	(7.804138073737033e-304 0.13265385283699668 1.7156548930552743e-217 3.416358815532955e+177)	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)`
1	4	(1.813591322704958e-217 1.8431688474196063e+271 -63102.02138002981 -2.062887901071713e-40)	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`
0	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))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
0	0	-	-	`c_n`
0	0	-	-	`(exp.f64 (neg.f64 s))`
0	3	(5.489414697155796e-121 3.333803335694136e-27 -270.8476075209481 -7.440452774043656e-274)	-	`(exp.f64 (neg.f64 t))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`
0	0	-	-	`c_p`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))`
0	1	(356.96518789890786 3.1037571439545686e-40 -4.141302620608253e-171 5.566236122908421e-89)	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
0	0	-	-	`(neg.f64 t)`
0	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))`
0	0	-	-	`s`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`t`
0	0	-	-	`(neg.f64 s)`

Results

133.0ms	490×	0	valid
35.0ms	2×	3	valid
10.0ms	16×	1	valid
7.0ms	4×	4	valid

Compiler

Compiled 421 to 68 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-pow: 79.0ms (59.5% of total)

ival-div: 13.0ms (9.8% of total)

ival-exp: 10.0ms (7.5% of total)

ival-neg: 8.0ms (6% of total)

ival-add: 8.0ms (6% of total)

ival-mult: 7.0ms (5.3% of total)

ival-sub: 6.0ms (4.5% of total)

backward-pass: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

eval1.0ms (0%)

Compiler: Compiled 51 to 31 computations (39.2% saved)

prune12.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Status

Accuracy

Program

▶

94.5%

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Compiler

Compiled 47 to 22 computations (53.2% saved)

simplify28.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(exp.f64 (neg.f64 s))
✓	cost-diff	-64	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	cost-diff	-64	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	-64	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)

Rules

160×	`sum3-define`
136×	`-lowering-.f32`
136×	`-lowering-.f64`
128×	`fma-lowering-fma.f32`
128×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	166
1	50	166
2	90	166
3	132	166
4	194	166
5	273	166
6	370	166
7	468	166
8	528	166
9	580	166
10	586	166
11	600	166
0	600	166

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
1
(+ 1 (exp (neg s)))
(exp (neg s))
(neg s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
c_n
(* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(/ 1 (+ 1 (exp (neg t))))
(+ 1 (exp (neg t)))
(exp (neg t))
(neg t)
t
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))

Outputs
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)))
(* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
1
#s(literal 1 binary64)
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (neg s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(neg s)
(-.f64 #s(literal 0 binary64) s)
s
c_p
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
c_n
(* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(exp (neg t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))

localize126.0ms (0.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	accuracy	99.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	96.2%	(/.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)))

Results

71.0ms	245×	0	valid
16.0ms	1×	3	valid
5.0ms	8×	1	valid
4.0ms	2×	4	valid

Compiler

Compiled 187 to 23 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 33.0ms (48.7% of total)

ival-div: 13.0ms (19.2% of total)

ival-mult: 6.0ms (8.9% of total)

ival-exp: 5.0ms (7.4% of total)

ival-neg: 3.0ms (4.4% of total)

ival-sub: 3.0ms (4.4% of total)

ival-add: 3.0ms (4.4% of total)

backward-pass: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

series396.0ms (0.3%)

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (+ 1 (exp (neg s)))>
#<alt (exp (neg s))>
#<alt (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>

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

Time	Variable		Point	Expression
118.0ms	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)))
72.0ms	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)))
32.0ms	s	@	inf	(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
26.0ms	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)))

rewrite399.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3802×	`-lowering-.f32`
3802×	`-lowering-.f64`
3532×	`/-lowering-/.f32`
3532×	`/-lowering-/.f64`
1552×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	136	89
2	1047	84
0	8409	84

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 389

Calls

Call 1

Inputs
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(+ 1 (exp (neg s)))
(exp (neg s))
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)

Outputs
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) c_p)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)))
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(*.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 #s(literal 2 binary64) c_n))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 2 binary64) (/.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) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) 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))))) (/.f64 (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 (+.f64 (/.f64 c_n #s(literal 2 binary64)) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) c_n)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify285.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4798×	`-lowering-.f32`
4798×	`-lowering-.f64`
2018×	`+-lowering-+.f64`
2018×	`+-lowering-+.f32`
1746×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	5837
1	1391	5149
2	5453	5102
0	8067	5102

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
1
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(+ (* 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)))
(+ (* 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)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* c_n (- (+ (* c_n (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* c_n (- (+ (* c_n (- (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* c_n (- (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))
(+ (* -1 (/ (* t (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* -1 (* t (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(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)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)

Outputs
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p)))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 (.f64 #s(literal 1/2 binary64) c_p) (.f64 s (+.f64 (.f64 c_p #s(literal -1/8 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))))))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p) (.f64 s (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 (+.f64 (.f64 c_p #s(literal -1/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 c_p c_p))) (.f64 s (+.f64 (.f64 (.f64 c_p c_p) #s(literal -1/16 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 c_p (.f64 c_p 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 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) c_p))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
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(+ (* 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 (.f64 c_n (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1/2 binary64))) (.f64 s (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) c_n) (.f64 #s(literal 1/8 binary64) (.f64 c_n c_n))) (.f64 s (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 c_n (.f64 c_n c_n))) (.f64 (.f64 c_n c_n) #s(literal 1/16 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 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (.f64 c_n (*.f64 #s(literal 1/2 binary64) (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)))))))
(+ 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 c_n (+.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) c_n)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64))))))))
(pow (- 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)
(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 c_n #s(literal -1/2 binary64)) (.f64 t (+.f64 (.f64 #s(literal -1/8 binary64) c_n) (.f64 #s(literal 1/8 binary64) (*.f64 c_n 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))
(+.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (.f64 t (+.f64 (.f64 c_n (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1/2 binary64))) (.f64 t (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (.f64 t (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 c_n (.f64 c_n c_n))) (.f64 (.f64 c_n c_n) #s(literal 1/16 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) c_n) (.f64 #s(literal 1/8 binary64) (.f64 c_n 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 (* -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 #s(literal 1/6 binary64) c_n)) (*.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)

eval171.0ms (0.1%)

Compiler: Compiled 39427 to 2407 computations (93.9% saved)

prune100.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	686	5	691
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	687	5	692

Accuracy

100.0%

Counts

692 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.6%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
▶	97.5%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
▶	92.9%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
▶	92.9%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #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)))
▶	94.5%	(/.f64 (.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Compiler

Compiled 362 to 210 computations (42% saved)

simplify152.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	6272	(/.f64 (.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
✓	cost-diff	6400	(.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
✓	cost-diff	6464	(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p)))
✓	cost-diff	-64	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	-64	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	-64	(/.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-diff	64	(*.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-diff	-64	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	-64	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	-64	(/.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-diff	64	(*.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-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p)
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
✓	cost-diff	0	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))

Rules

2622×	`-lowering-.f32`
2622×	`-lowering-.f64`
1828×	`sum5-define`
1646×	`fma-define`
1172×	`associate-/l*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	656
1	109	636
2	213	636
3	376	631
4	779	628
5	2041	628
6	4768	628
7	5863	628
8	6716	628
9	7607	628
10	7611	628
0	8094	628

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
1
(/ -1 (+ 1 (exp (- 0 s))))
-1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_n
(pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp t)))))
(/ -1 (+ 1 (/ 1 (exp t))))
(+ 1 (/ 1 (exp t)))
(/ 1 (exp t))
(exp t)
t
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
1
(+ 1 (exp (- 0 s)))
(exp (- 0 s))
(- 0 s)
0
s
c_p
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(/ 1 (+ 1 (/ 1 (exp t))))
(+ 1 (/ 1 (exp t)))
(/ 1 (exp t))
(exp t)
t
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (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 (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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) 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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p)))
(pow 1/2 c_p)
1/2
c_p
(* s (* (* 1/2 (pow 1/2 c_p)) c_p))
s
(* (* 1/2 (pow 1/2 c_p)) c_p)
(* 1/2 (pow 1/2 c_p))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
1
(/ 1 (+ 1 (exp (neg s))))
(+ 1 (exp (neg s)))
(exp (neg s))
(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 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 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 (exp (- 0 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 (- 0 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 (exp (- 0 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (- 0 s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_n
(pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))
(/ -1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))
(+ 1 (/ 1 (exp t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(exp t)
(exp.f64 t)
t
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp 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) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 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 (- 0 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
1
#s(literal 1 binary64)
(+ 1 (exp (- 0 s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(exp (- 0 s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(- 0 s)
(-.f64 #s(literal 0 binary64) s)
0
#s(literal 0 binary64)
s
c_p
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(/ 1 (+ 1 (/ 1 (exp t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
(+ 1 (/ 1 (exp t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(/ 1 (exp t))
(exp.f64 (-.f64 #s(literal 0 binary64) t))
(exp t)
(exp.f64 t)
t
(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) 1))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p)
(/ 1 (+ 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 (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) (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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))) (*.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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n) (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64))))))
(+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p)))
(.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
c_p
(* s (* (* 1/2 (pow 1/2 c_p)) c_p))
(.f64 s (.f64 c_p (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))))
s
(* (* 1/2 (pow 1/2 c_p)) c_p)
(.f64 c_p (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)))
(* 1/2 (pow 1/2 c_p))
(*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) 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)))))
1
#s(literal 1 binary64)
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
(+ 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)
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)))))

localize396.0ms (0.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	accuracy	99.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	96.2%	(/.f64 (.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	accuracy	98.9%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #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)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	accuracy	99.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	97.3%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 t))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
✓	accuracy	99.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
✓	accuracy	97.3%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))
✓	accuracy	99.6%	(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)
✓	accuracy	99.6%	(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)
✓	accuracy	98.9%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))

Results

220.0ms	244×	0	valid
20.0ms	1×	3	valid
15.0ms	9×	1	valid
9.0ms	2×	4	valid

Compiler

Compiled 726 to 54 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-pow: 57.0ms (33.5% of total)

ival-div: 45.0ms (26.4% of total)

ival-mult: 35.0ms (20.6% of total)

ival-add: 12.0ms (7.1% of total)

ival-exp: 10.0ms (5.9% of total)

ival-sub: 5.0ms (2.9% of total)

ival-neg: 3.0ms (1.8% of total)

backward-pass: 3.0ms (1.8% of total)

const: 1.0ms (0.6% of total)

series394.0ms (0.3%)

Counts

26 → 624

Calls

Call 1

Inputs
#<alt (/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 s)))))>
#<alt (/ -1 (+ 1 (exp (- 0 s))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (- 0 s))))>
#<alt (+ 1 (exp (- 0 s)))>
#<alt (* (pow (/ 1 (+ 1 (exp (neg 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 (exp (neg s)))) c_p)>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p)))>
#<alt (* (+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))>
#<alt (/ (* (+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) 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 1/2 c_p)>
#<alt (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (exp t))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>

Outputs
#<alt (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt 1>
#<alt (+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 3)) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))))))) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (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 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (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 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (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 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))>
#<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 (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
#<alt (+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
#<alt (+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (/ 1 (exp t)))))))) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))>
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#<alt (+ 1 (* t (- (* 1/2 t) 1)))>
#<alt (+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<alt (/ 1 (exp t))>
#<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 (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 (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

156 calls:

Time	Variable		Point	Expression
134.0ms	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) 1))
29.0ms	t	@	inf	(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))
27.0ms	t	@	-inf	(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
22.0ms	t	@	inf	(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
22.0ms	t	@	-inf	(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))

rewrite402.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3808×	`-lowering-.f32`
3808×	`-lowering-.f64`
2326×	`/-lowering-/.f32`
2326×	`/-lowering-/.f64`
2202×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	325
1	347	316
2	2371	310
0	9030	310

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 798

Calls

Call 1

Inputs
(/ (pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n))
(pow (+ 1 (/ -1 (+ 1 (exp (- 0 s))))) c_n)
(+ 1 (/ -1 (+ 1 (exp (- 0 s)))))
(/ -1 (+ 1 (exp (- 0 s))))
(/ (pow (/ 1 (+ 1 (exp (- 0 s)))) c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(pow (/ 1 (+ 1 (exp (- 0 s)))) c_p)
(/ 1 (+ 1 (exp (- 0 s))))
(+ 1 (exp (- 0 s)))
(* (pow (/ 1 (+ 1 (exp (neg 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 (exp (neg s)))) c_p)
(/ 1 (+ 1 (exp (neg s))))
(* 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 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p)))
(* (+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) c_p))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(/ (* (+ (pow 1/2 c_p) (* s (* (* 1/2 (pow 1/2 c_p)) 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 1/2 c_p)
(pow (+ 1 (/ -1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (exp t))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)

Outputs
(exp.f64 (-.f64 (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 (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) (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))) #s(literal -1 binary64)))
(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 t)))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))))))
(exp.f64 (neg.f64 (-.f64 (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))))
(neg.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))))
(neg.f64 (/.f64 (-.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 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)))
(/.f64 #s(literal 1 binary64) (/.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)))
(/.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)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.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))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)) #s(literal 1 binary64))
(/.f64 (-.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 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)))
(/.f64 (neg.f64 (-.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 s))))) c_n))) (neg.f64 (-.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) (+.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))))) (/.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))))
(pow.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)) #s(literal -1 binary64))
(pow.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))))) (/.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)))) #s(literal 2 binary64))
(pow.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)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 (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))))) (neg.f64 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))))) (neg.f64 c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n))
(*.f64 (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))) (/.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))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (/.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 s))))) (/.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))))) (neg.f64 c_n))))
(*.f64 (-.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 s))))) c_n)) (/.f64 #s(literal 1 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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (/.f64 c_n #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (/.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)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -3 binary64)))) (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -2 binary64))))) (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))))
(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)))))

simplify459.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6368×	`-lowering-.f32`
6368×	`-lowering-.f64`
4572×	`+-lowering-+.f64`
4572×	`+-lowering-+.f32`
1302×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1082	17997
1	3841	17059
0	8056	17059

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
1
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 3)) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))))))) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (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 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (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 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (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 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
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(/ (* (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (* (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
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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_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 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)))))))
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)
1/2
(+ 1/2 (* 1/4 t))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
(/ 1 (+ 1 (/ 1 (exp t))))
1
(+ 1 (* -1 t))
(+ 1 (* t (- (* 1/2 t) 1)))
(+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(/ 1 (exp t))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* 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)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)

Outputs
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n))
(+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(+.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) c_n) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(+.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (.f64 s (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (/.f64 (.f64 s (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (.f64 c_n #s(literal -1/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 c_n c_n))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)))))
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n)))
(+.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (.f64 s (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (.f64 s (+.f64 (/.f64 (.f64 s (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 c_n (.f64 c_n c_n))) (.f64 (.f64 c_n c_n) #s(literal 1/16 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)) (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (+.f64 (.f64 c_n #s(literal -1/8 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)))))))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (/ 1 (exp t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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))
1
#s(literal 1 binary64)
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
(+.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 s))))) (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 s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))
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1
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(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (.f64 (*.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) #s(literal 2 binary64))))))
(+ 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) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (.f64 c_n (+.f64 (.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 s))))) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 1/6 binary64) c_n) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) #s(literal 3 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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 (.f64 #s(literal 1/48 binary64) (*.f64 s s)) #s(literal -1/4 binary64))))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 s (+.f64 (.f64 (.f64 s s) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 s s) #s(literal -1/480 binary64)))) #s(literal -1/4 binary64))))
(- 1 (/ 1 (+ 1 (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)))))
(- 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)))))
(- 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)))))
(- 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)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
(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 (.f64 #s(literal -1/2 binary64) c_n) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) t)))
(+ (* 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 #s(literal 1/8 binary64) (*.f64 c_n 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))
(+.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 #s(literal 1/8 binary64) (.f64 c_n c_n))) (.f64 t (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 c_n (.f64 c_n c_n))) (.f64 (.f64 c_n 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) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (+.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (.f64 (*.f64 #s(literal 1/2 binary64) c_n) (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))))))
(+ 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 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/6 binary64) c_n) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) #s(literal 3 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)

eval305.0ms (0.2%)

Compiler: Compiled 86803 to 4166 computations (95.2% saved)

prune286.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	2013	7	2020
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	2018	7	2025

Accuracy

100.0%

Counts

2025 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
▶	95.5%	(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)
▶	93.3%	(/.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 #s(literal 1/2 binary64) c_p))
▶	96.7%	(/.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 #s(literal 1/2 binary64) c_n))
	95.5%	(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
	93.6%	(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 #s(literal 1/2 binary64) (.f64 c_p (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
▶	95.5%	#s(literal 1 binary64)

Compiler

Compiled 242 to 174 computations (28.1% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
✓	cost-diff	(/.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 #s(literal 1/2 binary64) c_p))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	cost-diff	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
✓	cost-diff	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (exp.f64 s))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
✓	cost-diff	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
✓	cost-diff	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n)
✓	cost-diff	(/.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 #s(literal 1/2 binary64) c_n))

Rules

18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
16×	`+-lowering-+.f64`
16×	`-lowering-.f32`
16×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	172
1	26	172
2	28	172
3	32	172
4	36	172
5	45	172
6	53	172
7	64	172
8	71	172
0	71	172

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 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 1/2 c_n)
1/2
1
(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 (+ 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 s)))) c_p) (pow 1/2 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 1/2 c_p)
1/2

Outputs
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(/ 1 (exp s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp s)
(exp.f64 s)
s
c_n
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(/ 1 (exp s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp s)
(exp.f64 s)
s
c_p
(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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
(+ 1 (/ -1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
-1
#s(literal -1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(/ 1 (exp s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp s)
(exp.f64 s)
s
c_n
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))
(/ 1 (exp s))
(exp.f64 (-.f64 #s(literal 0 binary64) s))
(exp s)
(exp.f64 s)
s
c_p
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)

localize161.0ms (0.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 s))
✓	accuracy	97.7%	(/.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 #s(literal 1/2 binary64) c_p))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 s))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
✓	accuracy	99.6%	(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)
✓	accuracy	100.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 s))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
✓	accuracy	99.6%	(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)
✓	accuracy	98.9%	(/.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 #s(literal 1/2 binary64) c_n))

Results

90.0ms	243×	0	valid
17.0ms	7×	1	valid
4.0ms	2×	4	valid
1.0ms	4×	0	unsamplable

Compiler

Compiled 202 to 20 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 25.0ms (44.5% of total)

ival-pow: 17.0ms (30.3% of total)

ival-div: 10.0ms (17.8% of total)

ival-add: 3.0ms (5.3% of total)

const: 1.0ms (1.8% of total)

backward-pass: 1.0ms (1.8% of total)

series123.0ms (0.1%)

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 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)>
#<alt (/ 1 (+ 1 (/ 1 (exp s))))>
#<alt (+ 1 (/ 1 (exp s)))>
#<alt (/ 1 (exp s))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt 1>
#<alt (+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))>
#<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 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<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 (/ 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 (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>
#<alt (+ 1 (* -1 s))>
#<alt (+ 1 (* s (- (* 1/2 s) 1)))>
#<alt (+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt (/ 1 (exp s))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))>
#<alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))))))))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))>
#<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 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))) (log 1/2))))>
#<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 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))) (log 1/2))))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>
#<alt (/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))>

Calls

39 calls:

Time	Variable		Point	Expression
32.0ms	s	@	inf	(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
21.0ms	s	@	-inf	(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
21.0ms	c_p	@	0	(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
19.0ms	s	@	inf	(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
17.0ms	s	@	-inf	(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)

rewrite257.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
2588×	`/-lowering-/.f32`
2588×	`/-lowering-/.f64`
1856×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	103	76
2	703	70
3	7039	70
0	8106	70

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 437

Calls

Call 1

Inputs
(/ (pow (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 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)
(/ 1 (+ 1 (/ 1 (exp s))))
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))

Outputs
(exp.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))))) (log.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) c_n))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 c_n (log.f64 #s(literal 1/2 binary64)))) (.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 (neg.f64 (*.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))))))
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(/.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))))
(/.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 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (pow.f64 #s(literal 1/2 binary64) (/.f64 c_p #s(literal 4 binary64)))) (pow.f64 #s(literal 1/2 binary64) (/.f64 c_p #s(literal 4 binary64))))
(pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 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 #s(literal 1/2 binary64) c_p)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)))
(*.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 #s(literal 1/2 binary64) c_p)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/2 binary64) c_p)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 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) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (.f64 #s(literal -1 binary64) (/.f64 c_p #s(literal 4 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (.f64 #s(literal -1 binary64) (/.f64 c_p #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))))
(.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))))
(*.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))))
(*.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 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 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 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) #s(literal -1 binary64)) (/.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (pow.f64 #s(literal 1/2 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) (/.f64 #s(literal 2 binary64) c_p))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))))) (/.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) (/.f64 c_p #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.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) (/.f64 #s(literal 2 binary64) c_p)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) c_p))) (pow.f64 #s(literal 1/2 binary64) c_p)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) #s(literal -1/2 binary64)))

simplify335.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3932×	`-lowering-.f32`
3932×	`-lowering-.f64`
2886×	`+-lowering-+.f64`
2886×	`+-lowering-+.f32`
1738×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	1896
1	735	1744
2	2341	1714
3	7136	1709
0	8356	1709

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
1
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
-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 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ -1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2))))))
(+ 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)))))))
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 1 (+ 1 (/ 1 (exp s))))
(/ 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
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
(/ 1 (exp s))
1
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))))))))
(/ (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))
(/ (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))
(/ (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))
(/ (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))
1
(+ 1 (* c_p (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))
(+ 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 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))) (log 1/2))))
(+ 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 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (/ 1 (exp s))))) (log 1/2))))))) (log 1/2))))
(/ (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))
(/ (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))
(/ (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))
(/ (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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 s (+.f64 (.f64 #s(literal -1/2 binary64) c_n) (.f64 s (.f64 c_n (+.f64 #s(literal -1/8 binary64) (*.f64 c_n #s(literal 1/8 binary64))))))))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))
(+.f64 #s(literal 1 binary64) (.f64 s (+.f64 (.f64 #s(literal -1/2 binary64) c_n) (.f64 s (+.f64 (.f64 c_n (+.f64 #s(literal -1/8 binary64) (.f64 c_n #s(literal 1/8 binary64)))) (.f64 s (.f64 (.f64 c_n c_n) (+.f64 (*.f64 c_n #s(literal -1/48 binary64)) #s(literal 1/16 binary64)))))))))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
1
#s(literal 1 binary64)
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))
(+.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))))) (log.f64 #s(literal 1/2 binary64)))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (-.f64 (+.f64 (.f64 (+.f64 (.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 1/2 binary64))) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (.f64 (.f64 c_n #s(literal -1 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (log.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))))) (log.f64 #s(literal 1/2 binary64))))))) (log.f64 #s(literal 1/2 binary64)))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (log 1/2))))))) (log 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (+.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) (log.f64 #s(literal 1/2 binary64))) (.f64 c_n (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (+.f64 #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))))) (.f64 c_n (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (log.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))))) (log.f64 #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/6 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))))) (log.f64 #s(literal 1/2 binary64))))))))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.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))))) (log.f64 #s(literal 1/2 binary64))))))))))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) c_n) (pow 1/2 c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(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 (pow.f64 #s(literal 1/2 binary64) c_n)) (+.f64 (.f64 #s(literal -1/2 binary64) c_n) (.f64 s (.f64 c_n (+.f64 #s(literal -1/8 binary64) (.f64 c_n #s(literal 1/8 binary64))))))))
(+ (* 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 (.f64 s (.f64 s (.f64 (+.f64 (.f64 c_n (+.f64 #s(literal -1/8 binary64) (.f64 c_n #s(literal 1/8 binary64)))) (.f64 s (.f64 (.f64 c_n c_n) (+.f64 (.f64 c_n #s(literal -1/48 binary64)) #s(literal 1/16 binary64))))) (pow.f64 #s(literal 1/2 binary64) 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)))
(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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) 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) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (/ 1 (exp 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 (/ 1 (exp s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 (+.f64 (.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 1/2 binary64))) #s(literal 1 binary64)) (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 (/ 1 (exp s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (/ 1 (exp 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 c_n (.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) #s(literal 2 binary64)) (+.f64 #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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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 (/ 1 (exp 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(literal 1/48 binary64) (*.f64 s s)))))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
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(- 1 (/ 1 (+ 1 (/ 1 (exp s)))))
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(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/ (pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p) (pow 1/2 c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))

eval175.0ms (0.1%)

Compiler: Compiled 28214 to 2321 computations (91.8% saved)

prune212.0ms (0.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1260	6	1266
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	1264	9	1273

Accuracy

100.0%

Counts

1273 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.1%	(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)
✓	95.5%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n)
▶	91.2%	(pow.f64 #s(literal 1/2 binary64) c_p)
▶	93.7%	(pow.f64 #s(literal 1/2 binary64) c_n)
	95.5%	(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
▶	92.6%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
▶	95.6%	(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
▶	95.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
✓	95.5%	#s(literal 1 binary64)

Compiler

Compiled 185 to 151 computations (18.4% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	cost-diff	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	cost-diff	(*.f64 c_n s)
✓	cost-diff	(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	(.f64 s (.f64 #s(literal 1/2 binary64) c_p))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
24×	`fma-lowering-fma.f32`
24×	`fma-define`
24×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	28	56
2	48	56
3	60	56
0	60	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1 (* s (* 1/2 c_p)))
1
(* s (* 1/2 c_p))
s
(* 1/2 c_p)
1/2
c_p
(+ 1 (* -1/2 (* c_n s)))
1
(* -1/2 (* c_n s))
-1/2
(* c_n s)
c_n
s
(pow 1/2 c_n)
1/2
c_n
(pow 1/2 c_p)
1/2
c_p
(/ 1 (pow 1/2 c_n))
1
(pow 1/2 c_n)
1/2
c_n

Outputs
(+ 1 (* s (* 1/2 c_p)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
1
#s(literal 1 binary64)
(* s (* 1/2 c_p))
(.f64 s (.f64 #s(literal 1/2 binary64) c_p))
s
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
1/2
#s(literal 1/2 binary64)
c_p
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 s #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* -1/2 (* c_n s))
(.f64 c_n (.f64 s #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* c_n s)
(*.f64 s c_n)
c_n
s
(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
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
1
#s(literal 1 binary64)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1/2
#s(literal 1/2 binary64)
c_n

localize69.0ms (0%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
✓	accuracy	100.0%	(*.f64 c_n s)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
✓	accuracy	100.0%	(.f64 s (.f64 #s(literal 1/2 binary64) c_p))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) c_p)

Results

50.0ms	254×	0	valid
0.0ms	2×	0	unsamplable

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.3% of total)

ival-pow: 8.0ms (36.3% of total)

ival-add: 3.0ms (13.6% of total)

ival-div: 2.0ms (9.1% of total)

const: 1.0ms (4.5% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0%)

Counts

9 → 168

Calls

Call 1

Inputs
#<alt (+ 1 (* s (* 1/2 c_p)))>
#<alt (* s (* 1/2 c_p))>
#<alt (* 1/2 c_p)>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* c_n s)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_p)>
#<alt (/ 1 (pow 1/2 c_n))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* s (+ (* 1/2 c_p) (/ 1 s)))>
#<alt (* s (+ (* 1/2 c_p) (/ 1 s)))>
#<alt (* s (+ (* 1/2 c_p) (/ 1 s)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* -1 (* s (- (* -1/2 c_p) (/ 1 s))))>
#<alt (* -1 (* s (- (* -1/2 c_p) (/ 1 s))))>
#<alt (* -1 (* s (- (* -1/2 c_p) (/ 1 s))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (+ 1 (* 1/2 (* c_p s)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* c_p (+ (* 1/2 s) (/ 1 c_p)))>
#<alt (* c_p (+ (* 1/2 s) (/ 1 c_p)))>
#<alt (* c_p (+ (* 1/2 s) (/ 1 c_p)))>
#<alt (* 1/2 (* c_p s))>
#<alt (* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))>
#<alt (* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))>
#<alt (* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 (* c_p s))>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt (* 1/2 c_p)>
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1/2 (* c_n s))>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n s)>
#<alt (* c_n 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 1>
#<alt (+ 1 (* -1 (* c_n (log 1/2))))>
#<alt (+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	s	@	-inf	(+ 1 (* -1/2 (* c_n s)))
0.0ms	c_n	@	-inf	(/ 1 (pow 1/2 c_n))
0.0ms	c_n	@	inf	(/ 1 (pow 1/2 c_n))
0.0ms	c_n	@	0	(/ 1 (pow 1/2 c_n))
0.0ms	s	@	inf	(+ 1 (* -1/2 (* c_n s)))

rewrite244.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3360×	`-lowering-.f32`
3360×	`-lowering-.f64`
1596×	`sum3-define`
1288×	`/-lowering-/.f32`
1288×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	73	38
2	499	37
3	4781	37
0	8040	37

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 342

Calls

Call 1

Inputs
(+ 1 (* s (* 1/2 c_p)))
(* s (* 1/2 c_p))
(* 1/2 c_p)
(+ 1 (* -1/2 (* c_n s)))
(* -1/2 (* c_n s))
(* c_n s)
(pow 1/2 c_n)
(pow 1/2 c_p)
(/ 1 (pow 1/2 c_n))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 s (/.f64 c_p #s(literal 2 binary64))))
(+.f64 (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 s #s(literal -1/2 binary64))))) (neg.f64 (.f64 (.f64 (/.f64 c_p #s(literal 4 binary64)) (.f64 s c_p)) (/.f64 s (+.f64 #s(literal 1 binary64) (.f64 c_p (*.f64 s #s(literal -1/2 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 s (/.f64 c_p #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 s #s(literal -1/2 binary64))))) (.f64 (.f64 (/.f64 c_p #s(literal 4 binary64)) (.f64 s c_p)) (/.f64 s (+.f64 #s(literal 1 binary64) (.f64 c_p (*.f64 s #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 s (.f64 (/.f64 c_p #s(literal 4 binary64)) (.f64 s c_p))) (+.f64 (.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 s (/.f64 c_p #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 s c_p) #s(literal 1 binary64))
(fma.f64 c_p (*.f64 s #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 c_p #s(literal 2 binary64)) s #s(literal 1 binary64))
(fma.f64 (*.f64 s #s(literal 1/2 binary64)) c_p #s(literal 1 binary64))
(fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s (.f64 s s)) #s(literal 1/8 binary64)) (.f64 c_p (.f64 c_p c_p)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s (/.f64 c_p #s(literal 2 binary64))) (+.f64 (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 s (.f64 (/.f64 c_p #s(literal 4 binary64)) (.f64 s c_p)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 c_p (*.f64 s #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 s (.f64 s s)) #s(literal 1/8 binary64)) (.f64 c_p (.f64 c_p c_p))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s (/.f64 c_p #s(literal 2 binary64))) (+.f64 (*.f64 s (/.f64 c_p #s(literal 2 binary64))) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 s (.f64 (/.f64 c_p #s(literal 4 binary64)) (.f64 s c_p))))) (+.f64 #s(literal 1 binary64) (.f64 c_p (*.f64 s #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 s (/.f64 c_p #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 s (/.f64 c_p #s(literal 2 binary64))))) #s(literal 1 binary64)))
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(pow.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_n #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 c_n #s(literal 1 binary64))))
(pow.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c_n #s(literal 2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c_n)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 c_n #s(literal 4 binary64)) (/.f64 c_n #s(literal 4 binary64))) #s(literal -2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 c_n #s(literal 4 binary64))) #s(literal -2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) c_n) #s(literal 2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c_n #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 c_n #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) c_n) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) c_n)
(pow.f64 (pow.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) c_n))
(pow.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c_n #s(literal 2 binary64))))
(pow.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1/4 binary64) (.f64 (.f64 c_n #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 c_n #s(literal 4 binary64)) #s(literal -2 binary64)))
(pow.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (/.f64 c_n #s(literal 4 binary64))) #s(literal -4 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) c_n) #s(literal -1/2 binary64))
(pow.f64 #s(literal 4 binary64) (/.f64 c_n #s(literal 2 binary64)))
(pow.f64 (exp.f64 c_n) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 c_n #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c_n)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(*.f64 (pow.f64 #s(literal 2 binary64) c_n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) c_n)) (pow.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)) #s(literal -1 binary64))

simplify259.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4172×	`-lowering-.f32`
4172×	`-lowering-.f64`
2524×	`+-lowering-+.f64`
2524×	`+-lowering-+.f32`
1676×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	873
1	330	808
2	1091	800
3	4023	799
0	8313	799

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* 1/2 (* c_p s)))
(* 1/2 (* c_p s))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(* 1/2 (* c_p s))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
1
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* 1/2 (* c_p s)))
(+ 1 (* 1/2 (* c_p s)))
(* 1/2 (* c_p s))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(* 1/2 (* c_p s))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 (* c_p s))
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
(* 1/2 c_p)
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(* -1/2 (* c_n s))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* -1/2 (* c_n s))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(* -1/2 (* c_n s))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* -1/2 (* c_n s))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* -1/2 (* c_n s))
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n s)
(* c_n 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)
1
(+ 1 (* -1 (* c_n (log 1/2))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* s (+ (* 1/2 c_p) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* -1 (* s (- (* -1/2 c_p) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(+ 1 (* 1/2 (* c_p s)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* c_p (+ (* 1/2 s) (/ 1 c_p)))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* -1 (* c_p (- (* -1/2 s) (/ 1 c_p))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 #s(literal 1/2 binary64) s)))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 (* c_p s))
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
(* 1/2 c_p)
(*.f64 #s(literal 1/2 binary64) c_p)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(+ 1 (* -1/2 (* c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal -1/2 binary64) c_n)))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* -1/2 (* c_n s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
(* c_n s)
(*.f64 s c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))
(+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 c_n (log.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_n (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 c_n (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 c_p (log.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 c_p (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_p (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 c_p (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))))))))
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* c_n (log 1/2))))
(-.f64 #s(literal 1 binary64) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 c_n (log.f64 #s(literal 1/2 binary64))))))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (-.f64 (.f64 c_n (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 c_n (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))))) (log.f64 #s(literal 1/2 binary64)))))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))

eval65.0ms (0%)

Compiler: Compiled 7715 to 917 computations (88.1% saved)

prune97.0ms (0.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	587	6	593
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	588	14	602

Accuracy

100.0%

Counts

602 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.1%	(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)
✓	95.5%	(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)
	92.6%	(pow.f64 #s(literal 2 binary64) c_n)
✓	91.2%	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	93.7%	(pow.f64 #s(literal 1/2 binary64) c_n)
	95.5%	(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
	93.7%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
✓	95.6%	(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
✓	95.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
	95.9%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (.f64 (.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (+.f64 (.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
	95.9%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
	3.1%	(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
	3.4%	(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
✓	95.5%	#s(literal 1 binary64)

Compiler

Compiled 685 to 266 computations (61.2% saved)

regimes106.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (.f64 (.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (+.f64 (.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(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 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n)
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 #s(literal 1/2 binary64) (.f64 c_p (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(/.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)))
(/.f64 (.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 s (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Outputs

(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))

Calls

13 calls:

13.0ms	c_p
12.0ms	(neg.f64 s)
11.0ms	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
9.0ms	(neg.f64 t)
8.0ms	s

Results

Accuracy	Segments	Branch
97.5%	1	`c_p`
97.5%	1	`c_n`
97.5%	1	`t`
97.5%	1	`s`
97.5%	1	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
97.5%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
97.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
97.5%	1	`(exp.f64 (neg.f64 s))`
97.5%	1	`(neg.f64 s)`
97.5%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
97.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
97.5%	1	`(exp.f64 (neg.f64 t))`
97.5%	1	`(neg.f64 t)`

Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes28.0ms (0%)

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (.f64 (.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (+.f64 (.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(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 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n)
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 #s(literal 1/2 binary64) (.f64 c_p (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))

Outputs

(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c_n) (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s c_n) (*.f64 s (*.f64 c_n (*.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c_n) (+.f64 (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #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 s))))) c_n)

Calls

4 calls:

7.0ms	c_p
7.0ms	t
6.0ms	c_n
6.0ms	s

Results

Accuracy	Segments	Branch
98.5%	2	`c_p`
96.7%	1	`c_n`
96.7%	1	`t`
98.6%	2	`s`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes23.0ms (0%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (.f64 (.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (+.f64 (.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(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 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)

Outputs

(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)

(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 s c_n) (*.f64 s (*.f64 c_n (*.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c_n) (-.f64 (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 s c_n) (-.f64 (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c_n) (-.f64 (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))

Calls

4 calls:

6.0ms	c_p
4.0ms	t
4.0ms	s
4.0ms	c_n

Results

Accuracy	Segments	Branch
95.9%	1	`c_n`
95.9%	1	`t`
97.9%	2	`c_p`
97.8%	2	`s`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (.f64 (.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (+.f64 (.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 s c_n) (.f64 s (.f64 c_n (.f64 s c_n)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 s c_n) (-.f64 (.f64 (.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))

Outputs

(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c_n) (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s c_n) (*.f64 s (*.f64 c_n (*.f64 s c_n))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 s c_n) (+.f64 (*.f64 (*.f64 s c_n) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))

Calls

2 calls:

4.0ms	s
4.0ms	c_p

Results

Accuracy	Segments	Branch
95.9%	1	`s`
95.9%	1	`c_p`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 #s(literal 1/2 binary64) c_p)))

Calls

4 calls:

2.0ms	c_n
2.0ms	t
2.0ms	c_p
2.0ms	s

Results

Accuracy	Segments	Branch
95.6%	1	`c_n`
95.6%	1	`t`
95.6%	1	`s`
95.6%	1	`c_p`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 c_n s)))

Calls

4 calls:

2.0ms	t
2.0ms	c_p
2.0ms	c_n
2.0ms	s

Results

Accuracy	Segments	Branch
95.6%	1	`c_n`
95.6%	1	`t`
95.6%	1	`s`
95.6%	1	`c_p`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 c_p (.f64 #s(literal 1/2 binary64) s))
(.f64 s (.f64 #s(literal -1/2 binary64) c_n))

Outputs
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	c_p
2.0ms	c_n
2.0ms	t
2.0ms	s

Results

Accuracy	Segments	Branch
95.5%	1	`t`
95.5%	1	`s`
95.5%	1	`c_p`
95.5%	1	`c_n`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch7.7s (5.1%)

Results

7.2s	550×	5	exit
6.0ms	11×	1	valid
2.0ms	10×	0	valid
1.0ms	1×	4	valid
1.0ms	1×	3	valid

Compiler

Compiled 117 to 64 computations (45.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.1s

ival-pow: 6.7s (94% of total)

ival-div: 130.0ms (1.8% of total)

backward-pass: 73.0ms (1% of total)

ival-add: 60.0ms (0.8% of total)

ival-neg: 52.0ms (0.7% of total)

ival-mult: 41.0ms (0.6% of total)

ival-sub: 40.0ms (0.6% of total)

ival-exp: 25.0ms (0.4% of total)

const: 4.0ms (0.1% of total)

end0.0ms (0%)

Steps

Time	Left	Right
7.7s	5222.573696970719	3.1449424858204816e+41

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-add: 412.0ms (99.9% of total)

Iter	Nodes	Cost
0	22	166
1	50	166
2	90	166
3	132	166
4	194	166
5	273	166
6	370	166
7	468	166
8	528	166
9	580	166
10	586	166
11	600	166
0	600	166

Iter	Nodes	Cost
0	18	172
1	26	172
2	28	172
3	32	172
4	36	172
5	45	172
6	53	172
7	64	172
8	71	172
0	71	172

Iter	Nodes	Cost
0	22	166
1	50	166
2	90	166
3	132	166
4	194	166
5	273	166
6	370	166
7	468	166
8	528	166
9	580	166
10	586	166
11	600	166
0	600	166

Iter	Nodes	Cost
0	18	172
1	26	172
2	28	172
3	32	172
4	36	172
5	45	172
6	53	172
7	64	172
8	71	172
0	71	172

analyze838.0ms (0.6%)

sample2.3min (89.9%)

preprocess121.0ms (0.1%)

explain344.0ms (0.2%)

eval1.0ms (0%)

prune12.0ms (0%)

simplify28.0ms (0%)

localize126.0ms (0.1%)

series396.0ms (0.3%)

rewrite399.0ms (0.3%)

simplify285.0ms (0.2%)

eval171.0ms (0.1%)

prune100.0ms (0.1%)

simplify152.0ms (0.1%)

localize396.0ms (0.3%)

series394.0ms (0.3%)

rewrite402.0ms (0.3%)

simplify459.0ms (0.3%)

eval305.0ms (0.2%)

prune286.0ms (0.2%)

simplify10.0ms (0%)

localize161.0ms (0.1%)

series123.0ms (0.1%)

rewrite257.0ms (0.2%)

simplify335.0ms (0.2%)

eval175.0ms (0.1%)

prune212.0ms (0.1%)

simplify8.0ms (0%)

localize69.0ms (0%)

series13.0ms (0%)

rewrite244.0ms (0.2%)

simplify259.0ms (0.2%)

eval65.0ms (0%)

prune97.0ms (0.1%)

regimes106.0ms (0.1%)

regimes28.0ms (0%)

regimes23.0ms (0%)

regimes9.0ms (0%)

regimes11.0ms (0%)

regimes10.0ms (0%)

regimes7.0ms (0%)

bsearch7.7s (5.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	166
1	50	166
2	90	166
3	132	166
4	194	166
5	273	166
6	370	166
7	468	166
8	528	166
9	580	166
10	586	166
11	600	166
0	600	166

Iter	Nodes	Cost
0	18	172
1	26	172
2	28	172
3	32	172
4	36	172
5	45	172
6	53	172
7	64	172
8	71	172
0	71	172