Metrics for Harley's example

analyze926.0ms (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: 461.0ms

ival-pow: 252.0ms (54.7% of total)

ival-div: 46.0ms (10% of total)

ival-exp: 39.0ms (8.5% of total)

ival-add: 28.0ms (6.1% of total)

ival-sub: 26.0ms (5.6% of total)

ival-mult: 24.0ms (5.2% of total)

ival-neg: 23.0ms (5% of total)

ival-<: 15.0ms (3.3% of total)

ival-and: 5.0ms (1.1% of total)

const: 3.0ms (0.7% of total)

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

sample2.3min (91.1%)

Results

1.9min	15077×	5	exit
11.5s	38404×	0	unsamplable
2.2s	8075×	0	valid
183.0ms	12×	4	valid
103.0ms	26×	3	valid
84.0ms	125×	1	valid
48.0ms	66×	1	unsamplable
33.0ms	16×	2	valid
5.0ms	2×	5	valid

Precisions

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

ival-pow: 1.7min (84.4% of total)

ival-div: 4.2s (3.4% of total)

backward-pass: 3.3s (2.7% of total)

ival-exp: 2.6s (2.1% of total)

ival-sub: 2.5s (2.1% of total)

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

ival-neg: 1.7s (1.4% of total)

ival-mult: 1.6s (1.3% of total)

ival-<: 486.0ms (0.4% of total)

const: 175.0ms (0.1% of total)

ival-and: 137.0ms (0.1% of total)

Bogosity

preprocess142.0ms (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))))

explain418.0ms (0.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
14	0	-	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)))`
6	1	(2.0491329569082064e+185 2.020234867299004e-65 1880.5744678547862 -3.711147900258632e+264)	0	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`
4	1	(0.037582646039680506 5.423992022681143e-61 -3.273466026993666e-63 -4.1723672328093164e+61)	1	(63.73306028783569 4.767761287700629e-70 -2.868737580768734e-98 3.581831170059456)	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`
1	0	-	0	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)`
1	2	(6.324553303067796e-112 7.26627885643266e+25 -59371935.69675944 -3.7108992398381164e-305)	0	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`
1	0	-	0	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`
1	0	-	0	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))`
0	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	-	0	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
0	0	-	0	-	`c_n`
0	1	(2.6150150516385687e-49 1.79822628286489e-98 1.115396654473864e-108 379.5841412488602)	0	-	`(exp.f64 (neg.f64 s))`
0	1	(0.00021280036579062665 5.191895308787513e-27 195.31240437314653 1.2532546084493536e-61)	0	-	`(exp.f64 (neg.f64 t))`
0	0	-	0	-	`c_p`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
0	0	-	0	-	`(neg.f64 t)`
0	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	-	0	-	`s`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`t`
0	0	-	0	-	`(neg.f64 s)`

Results

197.0ms	492×	0	valid
20.0ms	4×	3	valid
19.0ms	16×	1	valid

Compiler

Compiled 421 to 68 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-pow: 60.0ms (53.2% of total)

ival-div: 13.0ms (11.5% of total)

ival-exp: 9.0ms (8% of total)

ival-neg: 9.0ms (8% of total)

ival-mult: 7.0ms (6.2% of total)

ival-sub: 6.0ms (5.3% of total)

ival-add: 6.0ms (5.3% of total)

backward-pass: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.5%	(/.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

▶

89.5%

(/.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)

simplify33.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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)))))

localize133.0ms (0.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	98.8%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	accuracy	97.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	94.7%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (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

72.0ms	246×	0	valid
10.0ms	2×	3	valid
10.0ms	8×	1	valid

Compiler

Compiled 187 to 23 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 22.0ms (48% of total)

ival-div: 6.0ms (13.1% of total)

ival-exp: 5.0ms (10.9% of total)

ival-neg: 3.0ms (6.5% of total)

ival-sub: 3.0ms (6.5% of total)

ival-add: 3.0ms (6.5% of total)

ival-mult: 3.0ms (6.5% of total)

backward-pass: 1.0ms (2.2% of total)

const: 0.0ms (0% of total)

series489.0ms (0.3%)

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
158.0ms	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)))
131.0ms	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)))
51.0ms	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)))
48.0ms	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)))
38.0ms	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)))

rewrite294.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2408×	`-lowering-.f32`
2408×	`-lowering-.f64`
1968×	`sum3-define`
1370×	`/-lowering-/.f32`
1370×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	82	88
2	323	79
3	1495	75
4	6662	75
0	8428	75

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 273

Calls

Call 1

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

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

simplify274.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4612×	`-lowering-.f32`
4612×	`-lowering-.f64`
2004×	`sum3-define`
1984×	`+-lowering-+.f64`
1984×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	6202
1	1365	5475
2	5468	5461
0	8002	5461

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval69.0ms (0%)

Compiler: Compiled 24577 to 1270 computations (94.8% saved)

prune78.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	449	9	458
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	9	459

Accuracy

100.0%

Counts

459 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.2%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
	93.3%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
	92.3%	(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.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)))
▶	90.3%	(/.f64 (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (+.f64 (.f64 c_n #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) c_p))))) (*.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)))
▶	89.7%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
	89.5%	(/.f64 (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_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
	95.0%	(exp.f64 (-.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 (-.f64 #s(literal 0 binary64) c_p) (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
▶	95.0%	(exp.f64 (+.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
▶	95.0%	(exp.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))))

Compiler

Compiled 762 to 464 computations (39.1% saved)

simplify172.0ms (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_n)
✓	cost-diff	0	(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (+.f64 (.f64 c_n #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) c_p))))) (*.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	13056	(+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (+.f64 (.f64 c_n #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) c_p)))))
✓	cost-diff	0	(*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))
✓	cost-diff	0	(+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
✓	cost-diff	6528	(exp.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	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 #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	128	(*.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	128	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
✓	cost-diff	6720	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
✓	cost-diff	0	(*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))
✓	cost-diff	0	(+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
✓	cost-diff	6400	(+.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
✓	cost-diff	6528	(exp.f64 (+.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))

Rules

2540×	`sum5-define`
1978×	`-lowering-.f32`
1978×	`-lowering-.f64`
1376×	`fma-define`
1240×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	81	933
1	183	919
2	441	902
3	1087	863
4	2497	843
5	4224	811
6	7510	811
0	8254	811

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize3.1s (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (+.f64 (.f64 c_n #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) c_p))))) (*.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	98.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))))
✓	accuracy	99.9%	(*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t))))))))
✓	accuracy	78.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))
✓	accuracy	75.8%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
✓	accuracy	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	99.6%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #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	98.8%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	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) (exp.f64 t))))
✓	accuracy	98.8%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
✓	accuracy	98.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p)
✓	accuracy	99.7%	(+.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
✓	accuracy	98.8%	(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))
✓	accuracy	98.1%	(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))
✓	accuracy	78.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))

Results

2.6s	174×	5	exit
170.0ms	53×	1	valid
28.0ms	21×	0	valid
11.0ms	2×	2	valid
7.0ms	6×	0	unsamplable

Compiler

Compiled 1064 to 81 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-exp: 541.0ms (28.4% of total)

ival-log: 344.0ms (18.1% of total)

backward-pass: 291.0ms (15.3% of total)

ival-pow: 239.0ms (12.6% of total)

ival-div: 176.0ms (9.3% of total)

ival-add: 99.0ms (5.2% of total)

ival-mult: 74.0ms (3.9% of total)

ival-sub: 66.0ms (3.5% of total)

compiled-spec: 62.0ms (3.3% of total)

ival-neg: 5.0ms (0.3% of total)

const: 4.0ms (0.2% of total)

series985.0ms (0.7%)

Counts

30 → 816

Calls

Call 1

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

Outputs
#<alt (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2)))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))>
#<alt (+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 3)))) (* 1/2 (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2))))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))>
#<alt (+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p)))))>
#<alt (+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p)))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p))))))>
#<alt (+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* s (+ (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* 1/6 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 3)) (* (- (* -1/2 c_n) (* -1/2 c_p)) (- (* -1/8 c_n) (* 1/8 c_p)))))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p))))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
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#<alt (/ (+ (* s (* (+ (* -1/2 c_n) (* 1/2 c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (+ (* s (* (+ (* -1/2 c_n) (* 1/2 c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (+ (* s (* (+ (* -1/2 c_n) (* 1/2 c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (+ (* s (* (+ (* -1/2 c_n) (* 1/2 c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (/ (+ (* s (* (+ (* -1/2 c_n) (* 1/2 c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))>
#<alt (pow 1/2 c_p)>
#<alt (+ (* c_n (* (log 1/2) (pow 1/2 c_p))) (pow 1/2 c_p))>
#<alt (+ (* c_n (+ (* 1/2 (* c_n (* (pow (log 1/2) 2) (pow 1/2 c_p)))) (* (log 1/2) (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log 1/2) 3) (pow 1/2 c_p)))) (* 1/2 (* (pow (log 1/2) 2) (pow 1/2 c_p))))) (* (log 1/2) (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* c_p (* (log 1/2) (pow 1/2 c_n))) (pow 1/2 c_n))>
#<alt (+ (* c_p (+ (* 1/2 (* c_p (* (pow (log 1/2) 2) (pow 1/2 c_n)))) (* (log 1/2) (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log 1/2) 3) (pow 1/2 c_n)))) (* 1/2 (* (pow (log 1/2) 2) (pow 1/2 c_n))))) (* (log 1/2) (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<alt (* (pow 1/2 c_n) (pow 1/2 c_p))>
#<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 (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* -1/2 s))>
#<alt (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* s (- (* -1/8 s) 1/2)))>
#<alt (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))>
#<alt (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* 1/2 t))>
#<alt (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* t (+ 1/2 (* 1/8 t))))>
#<alt (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* t (+ 1/2 (* t (+ 1/8 (* 1/6 (* t (- (* -3 (/ (+ (* -1/4 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/12 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 1/2))))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 t))>
#<alt (+ (log 2) (* t (- (* 1/8 t) 1/2)))>
#<alt (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (neg t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log (+ 1 (exp (* -1 t))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 s))>
#<alt (+ (log 2) (* s (- (* 1/8 s) 1/2)))>
#<alt (+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (neg s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (log (+ 1 (exp (* -1 s))))>
#<alt (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 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (/ 1 (exp t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt (/ 1 (+ 1 (/ 1 (exp t))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (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 (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (log (* 1/2 (+ 1 (exp (neg t)))))>
#<alt (+ (log (* 1/2 (+ 1 (exp (neg t))))) (* 1/2 s))>
#<alt (+ (log (* 1/2 (+ 1 (exp (neg t))))) (* s (+ 1/2 (* 1/2 (* s (- (* -4 (/ (+ (* -1/8 (+ 1 (exp (neg t)))) (* 1/8 (+ 1 (exp (neg t))))) (+ 1 (exp (neg t))))) 1/4))))))>
#<alt (+ (log (* 1/2 (+ 1 (exp (neg t))))) (* s (+ 1/2 (* s (+ (* 1/6 (* s (+ 1/4 (+ (* -12 (/ (+ (* -1/24 (+ 1 (exp (neg t)))) (+ (* 1/16 (+ 1 (exp (neg t)))) (* 1/2 (+ (* -1/8 (+ 1 (exp (neg t)))) (* 1/8 (+ 1 (exp (neg t)))))))) (+ 1 (exp (neg t))))) (* 6 (/ (+ (* -1/8 (+ 1 (exp (neg t)))) (* 1/8 (+ 1 (exp (neg t))))) (+ 1 (exp (neg t))))))))) (* 1/2 (- (* -4 (/ (+ (* -1/8 (+ 1 (exp (neg t)))) (* 1/8 (+ 1 (exp (neg t))))) (+ 1 (exp (neg t))))) 1/4)))))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ 2 (+ 1 (/ 1 (exp s)))))>
#<alt (+ (log (/ 2 (+ 1 (/ 1 (exp s))))) (* -1/2 t))>
#<alt (+ (log (/ 2 (+ 1 (/ 1 (exp s))))) (* t (- (* 1/8 t) 1/2)))>
#<alt (+ (log (/ 2 (+ 1 (/ 1 (exp s))))) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (neg t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (* -1 t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (* -1 t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (* -1 t))) (+ 1 (/ 1 (exp s)))))>
#<alt (log (/ (+ 1 (exp (* -1 t))) (+ 1 (/ 1 (exp s)))))>
#<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 (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>

Calls

204 calls:

Time	Variable		Point	Expression
187.0ms	t	@	inf	(exp (+ (+ (* c_n (log (/ (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (* c_p (log (+ 1 (exp (- 0 t)))))) (- 0 (* c_p (log (+ 1 (exp (- 0 s))))))))
111.0ms	c_n	@	0	(/ (+ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* s (* (* (pow 1/2 c_n) (pow 1/2 c_p)) (+ (* c_n -1/2) (* 1/2 c_p))))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
88.0ms	s	@	-inf	(exp (+ (+ (* c_n (log (/ (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (* c_p (log (+ 1 (exp (- 0 t)))))) (- 0 (* c_p (log (+ 1 (exp (- 0 s))))))))
76.0ms	c_n	@	0	(* c_n (log (/ (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) (+ 1 (/ 1 (+ -1 (/ -1 (exp t))))))))
65.0ms	s	@	inf	(exp (+ (+ (* c_n (log (/ (+ 1 (/ 1 (+ -1 (/ -1 (exp s))))) (+ 1 (/ 1 (+ -1 (/ -1 (exp t)))))))) (* c_p (log (+ 1 (exp (- 0 t)))))) (- 0 (* c_p (log (+ 1 (exp (- 0 s))))))))

rewrite317.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2684×	`-lowering-.f32`
2684×	`-lowering-.f64`
1428×	`fma-lowering-fma.f32`
1428×	`fma-lowering-fma.f64`
1066×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	476
1	330	436
2	1183	395
3	4190	380
0	8055	380

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 919

Calls

Call 1

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

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

simplify588.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5500×	`-lowering-.f32`
5500×	`-lowering-.f64`
3378×	`+-lowering-+.f64`
3378×	`+-lowering-+.f32`
1434×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1448	24875
1	5273	24262
0	8141	24262

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

Inputs
(exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2)))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))
(+ (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 3)))) (* 1/2 (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) 2))))) (* (exp (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))) (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2))))
(+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p)))))
(+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p)))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(+ (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (* s (+ (* s (+ (* s (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (+ (* 1/6 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 3)) (* (- (* -1/2 c_n) (* -1/2 c_p)) (- (* -1/8 c_n) (* 1/8 c_p)))))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (+ (* -1/8 c_n) (* 1/2 (pow (- (* -1/2 c_n) (* -1/2 c_p)) 2))) (* 1/8 c_p))))) (* (exp (- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))) (- (* -1/2 c_n) (* -1/2 c_p))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (* -1 s)))))))
(exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s)))))))
(+ (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n)))))
(+ (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(+ (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (* t (+ (* t (+ (* t (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/6 (* c_n (- (* -3 (/ (+ (* -1/4 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/12 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 1/2))) (+ (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3)) (* (+ (* -1/2 c_p) (* 1/2 c_n)) (+ (* 1/8 c_n) (* 1/8 c_p))))))) (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))))) (* (exp (- (+ (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* c_p (log 2))) (* c_p (log (+ 1 (exp (neg s))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n)
(+ (* c_p (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n))
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n)))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n)))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n))
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n)))) (* 1/2 (* (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n)))) (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))) c_n))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
(* c_n (- (+ (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n)))
(* c_n (- (+ (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n)))
(* c_n (- (+ (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))) (/ (* c_p (log (+ 1 (exp (neg t))))) c_n)) (/ (* c_p (log (+ 1 (exp (neg s))))) c_n)))
(* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t))))))))
(* -1 (* c_n (+ (* -1 (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)))))
(* -1 (* c_n (+ (* -1 (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)))))
(* -1 (* c_n (+ (* -1 (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* -1 (/ (- (* c_p (log (+ 1 (exp (neg t))))) (* c_p (log (+ 1 (exp (neg s)))))) c_n)))))
(- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log 2)))
(- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (* -1/2 c_n) (* -1/2 c_p))))) (* c_p (log 2)))
(- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (+ (* -1/2 c_n) (* s (- (* -1/8 c_n) (* 1/8 c_p)))) (* -1/2 c_p))))) (* c_p (log 2)))
(- (+ (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (+ (* c_p (log (+ 1 (exp (neg t))))) (* s (- (+ (* -1/2 c_n) (* s (- (+ (* -1/8 c_n) (* (pow s 2) (- (* 1/192 c_n) (* -1/192 c_p)))) (* 1/8 c_p)))) (* -1/2 c_p))))) (* c_p (log 2)))
(- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
(- (+ (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (/ 1 (exp t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))
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(/ 1 (+ 1 (exp (* -1 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/ 1 (+ 1 (exp (* -1 t))))

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

eval343.0ms (0.2%)

Compiler: Compiled 89479 to 4613 computations (94.8% saved)

prune213.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	2001	8	2009
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	2010	8	2018

Accuracy

100.0%

Counts

2018 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
	91.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
	93.1%	(/.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))
▶	92.3%	(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.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))
▶	92.2%	(/.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
▶	88.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
	95.0%	(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
▶	94.6%	#s(literal 1 binary64)

Compiler

Compiled 302 to 216 computations (28.5% saved)

simplify218.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	cost-diff	0	(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
✓	cost-diff	6336	(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p)))
✓	cost-diff	0	(.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p)))
✓	cost-diff	0	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	0	(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.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))
✓	cost-diff	6464	(+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
✓	cost-diff	0	(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) (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) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
✓	cost-diff	0	(+.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	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
✓	cost-diff	0	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)

Rules

2554×	`sum3-define`
2370×	`fma-define`
2016×	`sum5-define`
1964×	`fma-lowering-fma.f32`
1964×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 20 (0.0ms)

Iter	Nodes	Cost
0	37	291
1	70	287
2	115	285
3	215	285
4	289	285
5	409	285
6	757	285
7	1111	285
8	2153	285
9	2869	285
10	3265	285
11	3301	285
12	3469	285
13	3488	285
14	3504	285
15	3566	285
16	3588	285
17	3627	285
18	3738	285
19	3997	281
20	4480	276
21	5702	276
0	8330	276

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize245.0ms (0.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))
✓	accuracy	99.2%	(/.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
✓	accuracy	98.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s)))
✓	accuracy	97.7%	(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 (pow.f64 #s(literal 1/2 binary64) c_p))
✓	accuracy	99.9%	(.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p)))
✓	accuracy	99.2%	(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 (.f64 c_p #s(literal 1/2 binary64)) (*.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))
✓	accuracy	97.7%	(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) (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) (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	97.7%	(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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
✓	accuracy	99.6%	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
✓	accuracy	99.6%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
✓	accuracy	99.6%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))

Results

150.0ms	240×	0	valid
14.0ms	6×	2	valid
6.0ms	2×	5	exit
4.0ms	1×	3	valid
3.0ms	6×	0	unsamplable
1.0ms	1×	1	valid

Compiler

Compiled 343 to 38 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 21.0ms (27.5% of total)

ival-pow: 11.0ms (14.4% of total)

ival-add: 10.0ms (13.1% of total)

ival-exp: 9.0ms (11.8% of total)

compiled-spec: 7.0ms (9.2% of total)

ival-mult: 7.0ms (9.2% of total)

ival-log: 5.0ms (6.5% of total)

ival-sub: 3.0ms (3.9% of total)

backward-pass: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

series501.0ms (0.3%)

Counts

19 → 396

Calls

Call 1

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

Outputs
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (+ (* -1/2 (* c_n (* s (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)))))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (+ (* 1/2 (* c_n (* t (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))>
#<alt (+ (* t (+ (* 1/2 (* c_n (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))) (* t (* (+ (* 1/8 c_n) (* 1/8 (pow c_n 2))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))>
#<alt (+ (* t (+ (* 1/2 (* c_n (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))) (* t (+ (* t (* (+ (* 1/48 (pow c_n 3)) (+ (* 1/16 (pow c_n 2)) (* 1/6 (* c_n (- (* -3 (/ (+ (* -1/4 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/12 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 1/2))))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))) (* (+ (* 1/8 c_n) (* 1/8 (pow c_n 2))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)))))) (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n))>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (+ (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/2 (* c_n (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3))) (* 1/2 (pow (log (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2)))))))>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (+ (* -1/4 (/ s (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/2 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ (* s (- (* 1/48 (/ (pow s 2) (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/4 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* 1/2 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ (* s (- (* (pow s 2) (+ (* -1/480 (/ (pow s 2) (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/48 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* 1/4 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* 1/2 (/ 1 (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (+ (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* t (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))>
#<alt (+ (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* t (- (* 1/2 (* t (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* -1 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))))>
#<alt (+ (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* t (- (* t (- (* -1 (* t (+ (* -1/4 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) (* 1/12 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))))) (* -1/2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))) (* -1 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ (- 1 (/ 1 (+ 1 (/ 1 (exp s))))) (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<alt (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))>
#<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 (/ 1 (pow 1/2 c_p))>
#<alt (+ (* -1/2 (/ (* c_p t) (pow 1/2 c_p))) (/ 1 (pow 1/2 c_p)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (+ (* -1/2 (/ (* c_p (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))) (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_p))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_p)))))))) (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_p (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (* -1 (* c_p (+ (* -1 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (* c_p (- (* -1 (* c_p (+ (* -1 (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (+ (* -1 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2))))) (+ (* -1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)) (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)))))) (+ (* -1 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ 1 (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
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#<alt 1>
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#<alt (* 1/2 (* c_p (* s (pow 1/2 c_p))))>
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#<alt (pow 1/2 c_p)>
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#<alt (* 1/2 (* c_p (* s (pow 1/2 c_p))))>
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#<alt (* -1 (* s (+ (* -1 (/ (pow 1/2 c_p) s)) (* -1/2 (* c_p (pow 1/2 c_p))))))>
#<alt (* -1 (* s (+ (* -1 (/ (pow 1/2 c_p) s)) (* -1/2 (* c_p (pow 1/2 c_p))))))>
#<alt 1>
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#<alt (+ 1 (* c_p (- (+ (log 1/2) (+ (* 1/2 s) (* c_p (- (+ (* 1/2 (* s (log 1/2))) (+ (* 1/2 (pow (log 1/2) 2)) (* c_p (- (+ (* 1/6 (pow (log 1/2) 3)) (* 1/4 (* s (pow (log 1/2) 2)))) (+ (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2) (- (+ (log 1/2) (* 1/2 s)) (log (/ 1 (+ 1 (/ 1 (exp t)))))))) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (+ (* 1/2 (* s (log 1/2))) (* 1/2 (pow (log 1/2) 2))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (+ (log 1/2) (* 1/2 s)) (log (/ 1 (+ 1 (/ 1 (exp t)))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (+ (log 1/2) (* 1/2 s)) (log (/ 1 (+ 1 (/ 1 (exp t)))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
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#<alt (* c_p (+ (* 1/2 (/ (* s (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (pow 1/2 c_p) (* 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)))>
#<alt (* -1 (* c_p (+ (* -1 (/ (pow 1/2 c_p) (* c_p (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* s (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (pow 1/2 c_p) (* c_p (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* s (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
#<alt (* -1 (* c_p (+ (* -1 (/ (pow 1/2 c_p) (* c_p (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* s (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
#<alt (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
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#<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)))>
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#<alt (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (pow 1/2 c_p) (* s (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))) (/ (pow 1/2 c_p) (* s (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)))>
#<alt (* -1 (* s (+ (* -1 (/ (pow 1/2 c_p) (* s (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
#<alt (* -1 (* s (+ (* -1 (/ (pow 1/2 c_p) (* s (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
#<alt (* -1 (* s (+ (* -1 (/ (pow 1/2 c_p) (* s (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (* -1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))))))>
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#<alt (/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt 1>
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#<alt (pow 1/2 c_p)>
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#<alt (* 1/2 (* c_p (* s (pow 1/2 c_p))))>
#<alt (* 1/2 (* c_p (* s (pow 1/2 c_p))))>
#<alt (exp (* -1 (* c_p (log 2))))>
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#<alt (+ (exp (* -1 (* c_p (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* s (+ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))>
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#<alt (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))>
#<alt (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))>
#<alt 1>
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#<alt (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))>
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#<alt (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))>
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#<alt (+ (* s (+ (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
#<alt (+ (* s (+ (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (* s (+ (/ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)) (/ (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))))) (/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
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#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt 1>
#<alt (+ 1 (* c_p (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* c_p (- (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (+ 1 (* c_p (- (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* c_p (- (+ (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (* c_p (- (* -1/6 (pow (log (+ 1 (/ 1 (exp s)))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t)))))))) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p))>
#<alt (+ (* -1/2 (/ (* c_p (* t (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))))) (pow 1/2 c_p))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))>
#<alt (* -1 (* c_p (log 2)))>
#<alt (+ (* -1 (* c_p (log 2))) (* 1/2 (* c_p s)))>
#<alt (+ (* -1 (* c_p (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))>
#<alt (+ (* -1 (* c_p (log 2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 s))>
#<alt (+ (log 2) (* s (- (* 1/8 s) 1/2)))>
#<alt (+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt (log (+ 1 (/ 1 (exp s))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt 1>
#<alt (+ 1 (* -1 t))>
#<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 (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt s>
#<alt (+ s (* c_p (* s (log 1/2))))>
#<alt (+ s (* c_p (+ (* 1/2 (* c_p (* s (pow (log 1/2) 2)))) (* s (log 1/2)))))>
#<alt (+ s (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* s (pow (log 1/2) 3)))) (* 1/2 (* s (pow (log 1/2) 2))))) (* s (log 1/2)))))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>
#<alt (* s (pow 1/2 c_p))>

Calls

99 calls:

Time	Variable		Point	Expression
303.0ms	s	@	-inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
26.0ms	t	@	-inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
24.0ms	t	@	inf	(/ (exp (* (log (+ 1 (/ 1 (exp s)))) (- 0 c_p))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
24.0ms	s	@	inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
24.0ms	t	@	inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)

rewrite335.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2416×	`-lowering-.f32`
2416×	`-lowering-.f64`
1532×	`sum4-define`
1424×	`+-lowering-+.f64`
1424×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	184
1	139	178
2	492	163
3	1731	152
4	5737	152
0	8338	152

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 597

Calls

Call 1

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

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

simplify362.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6108×	`-lowering-.f32`
6108×	`-lowering-.f64`
3466×	`+-lowering-+.f64`
3466×	`+-lowering-+.f32`
1800×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	6442
1	2205	6047
2	7762	6035
0	8015	6035

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(+ (* -1/2 (* c_n (* s (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)))) (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n))
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(+ 1 (+ (* 1/2 (* c_p s)) (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))) (pow 1/2 c_p)))))))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
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)
(* 1/2 (* c_p s))
(* c_p (+ (* 1/2 s) (* 1/2 (* c_p (* s (log 1/2))))))
(* c_p (+ (* 1/2 s) (* c_p (+ (* 1/4 (* c_p (* s (pow (log 1/2) 2)))) (* 1/2 (* s (log 1/2)))))))
(* c_p (+ (* 1/2 s) (* c_p (+ (* 1/2 (* s (log 1/2))) (* c_p (+ (* 1/12 (* c_p (* s (pow (log 1/2) 3)))) (* 1/4 (* s (pow (log 1/2) 2)))))))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(* 1/2 (* c_p (* s (pow 1/2 c_p))))
(exp (* -1 (* c_p (log 2))))
(+ (exp (* -1 (* c_p (log 2)))) (* 1/2 (* c_p (* s (exp (* -1 (* c_p (log 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))))
(+ (exp (* -1 (* c_p (log 2)))) (* s (+ (* 1/2 (* c_p (exp (* -1 (* c_p (log 2)))))) (* s (+ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
1
(+ 1 (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* 1/2 (* c_p (pow (log (+ 1 (/ 1 (exp s)))) 2))))))
(+ 1 (* c_p (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* c_p (+ (* -1/6 (* c_p (pow (log (+ 1 (/ 1 (exp s)))) 3))) (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))
(/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(+ (* 1/2 (/ (* c_p (* s (exp (* -1 (* c_p (log 2)))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))
(+ (* s (+ (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (/ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))) (/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))
(+ (* s (+ (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log 2))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))) (* s (+ (/ (* s (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)) (/ (* (exp (* -1 (* c_p (log 2)))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))))) (/ (exp (* -1 (* c_p (log 2)))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p)))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
1
(+ 1 (* c_p (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))
(+ 1 (* c_p (- (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* c_p (- (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))
(+ 1 (* c_p (- (+ (* -1 (log (+ 1 (/ 1 (exp s))))) (* c_p (- (+ (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (* c_p (- (* -1/6 (pow (log (+ 1 (/ 1 (exp s)))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t)))))))) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* 1/2 (pow (log (+ 1 (/ 1 (exp s)))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (/ 1 (exp t))))) 2)) (* (log (/ 1 (+ 1 (/ 1 (exp t))))) (- (* -1 (log (+ 1 (/ 1 (exp s))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))))) (log (/ 1 (+ 1 (/ 1 (exp t))))))))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p))
(+ (* -1/2 (/ (* c_p (* t (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))))) (pow 1/2 c_p))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))) (/ (* (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s)))))))) (pow 1/2 c_p))))) (/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow 1/2 c_p)))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(/ (exp (* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))) (pow (/ 1 (+ 1 (/ 1 (exp t)))) c_p))
(* -1 (* c_p (log 2)))
(+ (* -1 (* c_p (log 2))) (* 1/2 (* c_p s)))
(+ (* -1 (* c_p (log 2))) (* s (+ (* -1/8 (* c_p s)) (* 1/2 c_p))))
(+ (* -1 (* c_p (log 2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2))))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(* -1 (* c_p (log (+ 1 (/ 1 (exp s))))))
(log 2)
(+ (log 2) (* -1/2 s))
(+ (log 2) (* s (- (* 1/8 s) 1/2)))
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
(log (+ 1 (/ 1 (exp s))))
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
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))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
s
(+ s (* c_p (* s (log 1/2))))
(+ s (* c_p (+ (* 1/2 (* c_p (* s (pow (log 1/2) 2)))) (* s (log 1/2)))))
(+ s (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* s (pow (log 1/2) 3)))) (* 1/2 (* s (pow (log 1/2) 2))))) (* s (log 1/2)))))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))
(* s (pow 1/2 c_p))

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

eval171.0ms (0.1%)

Compiler: Compiled 32103 to 2536 computations (92.1% saved)

prune164.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1301	10	1311
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	1306	13	1319

Accuracy

100.0%

Counts

1319 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(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))))) #s(literal 1/2 binary64)) c_n)
▶	91.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
▶	95.3%	(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
	88.8%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)
	93.1%	(/.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))
	93.1%	(/.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (neg.f64 c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))
▶	90.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
	88.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
▶	90.3%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
	89.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
	93.5%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))
	88.8%	(exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
✓	94.6%	#s(literal 1 binary64)

Compiler

Compiled 381 to 303 computations (20.5% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
✓	cost-diff	(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) 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 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))))
✓	cost-diff	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
✓	cost-diff	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) 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	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) #s(literal 1/2 binary64))
✓	cost-diff	(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))))) #s(literal 1/2 binary64)) c_n)

Rules

198×	`sum3-define`
160×	`fma-define`
114×	`fma-lowering-fma.f32`
114×	`fma-lowering-fma.f64`
112×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	209
1	65	201
2	108	201
3	150	201
4	174	201
5	218	201
6	401	201
7	526	201
8	545	201
0	545	201

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)
(/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2)
(+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))
1
(/ -1 (+ 1 (/ 1 (exp s))))
-1
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(exp s)
s
1/2
c_n
(/ 1 (pow 1/2 c_p))
1
(pow 1/2 c_p)
1/2
c_p
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p))
1
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p)
(+ 1/2 (* t (+ 1/4 (* -1/48 (* t t)))))
1/2
(* t (+ 1/4 (* -1/48 (* t t))))
t
(+ 1/4 (* -1/48 (* t t)))
1/4
(* -1/48 (* t t))
-1/48
(* t t)
c_p
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(/ 1 (+ 1 (/ 1 (exp s))))
1
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(exp s)
s
c_p
(pow (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
(/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))
1/2
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
1
(/ -1 (+ 1 (exp (- 0 t))))
-1
(+ 1 (exp (- 0 t)))
(exp (- 0 t))
(- 0 t)
0
t
c_n

Outputs
(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)
(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))))) #s(literal 1/2 binary64)) c_n)
(/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) #s(literal 1/2 binary64))
(+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))
1
#s(literal 1 binary64)
(/ -1 (+ 1 (/ 1 (exp s))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
-1
#s(literal -1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(/ 1 (exp s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
1/2
#s(literal 1/2 binary64)
c_n
(/ 1 (pow 1/2 c_p))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
1
#s(literal 1 binary64)
(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 (* t (+ 1/4 (* -1/48 (* t t))))) c_p))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 t (*.f64 t #s(literal -1/48 binary64)))))) c_p))
1
#s(literal 1 binary64)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 t (*.f64 t #s(literal -1/48 binary64)))))) c_p)
(+ 1/2 (* t (+ 1/4 (* -1/48 (* t t)))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 t (*.f64 t #s(literal -1/48 binary64))))))
1/2
#s(literal 1/2 binary64)
(* t (+ 1/4 (* -1/48 (* t t))))
(.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 t (*.f64 t #s(literal -1/48 binary64)))))
t
(+ 1/4 (* -1/48 (* t t)))
(+.f64 #s(literal 1/4 binary64) (.f64 t (.f64 t #s(literal -1/48 binary64))))
1/4
#s(literal 1/4 binary64)
(* -1/48 (* t t))
(.f64 t (.f64 t #s(literal -1/48 binary64)))
-1/48
#s(literal -1/48 binary64)
(* t t)
(*.f64 t t)
c_p
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
(/ 1 (+ 1 (/ 1 (exp s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (exp s)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))
(/ 1 (exp s))
(/.f64 #s(literal 1 binary64) (exp.f64 s))
(exp s)
(exp.f64 s)
s
c_p
(pow (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))) c_n)
(/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))))
1/2
#s(literal 1/2 binary64)
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))))
1
#s(literal 1 binary64)
(/ -1 (+ 1 (exp (- 0 t))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))
-1
#s(literal -1 binary64)
(+ 1 (exp (- 0 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))
(exp (- 0 t))
(/.f64 #s(literal 1 binary64) (exp.f64 t))
(- 0 t)
(-.f64 #s(literal 0 binary64) t)
0
#s(literal 0 binary64)
t
c_n

localize271.0ms (0.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))
✓	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) t)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))))
✓	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	98.8%	(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 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))))
✓	accuracy	100.0%	(.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
✓	accuracy	99.7%	(.f64 #s(literal -1/48 binary64) (.f64 t t))
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (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	99.6%	(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))))) #s(literal 1/2 binary64)) c_n)
✓	accuracy	99.6%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))))

Results

202.0ms	241×	0	valid
9.0ms	7×	1	valid
3.0ms	6×	0	unsamplable
2.0ms	1×	3	valid
0.0ms	1×	0	invalid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-pow: 58.0ms (46.5% of total)

ival-add: 30.0ms (24.1% of total)

ival-div: 15.0ms (12% of total)

ival-exp: 5.0ms (4% of total)

ival-sub: 5.0ms (4% of total)

...c/correct-round.rkt:119:19: 5.0ms (4% of total)

ival-mult: 5.0ms (4% of total)

const: 1.0ms (0.8% of total)

backward-pass: 1.0ms (0.8% of total)

series175.0ms (0.1%)

Counts

20 → 300

Calls

Call 1

Inputs
#<alt (pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)>
#<alt (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2)>
#<alt (+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))>
#<alt (/ -1 (+ 1 (/ 1 (exp s))))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (pow 1/2 c_p)>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p))>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p)>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t)))))>
#<alt (* t (+ 1/4 (* -1/48 (* t t))))>
#<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 (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)>
#<alt (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))>
#<alt (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))>
#<alt (/ -1 (+ 1 (exp (- 0 t))))>
#<alt (* -1/48 (* t t))>
#<alt (+ 1 (exp (- 0 t)))>

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 (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))))>
#<alt (+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* 1/2 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 3))) (* 1/2 (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2)))))))>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt (pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)>
#<alt 1>
#<alt (+ 1 (* -1/2 s))>
#<alt (+ 1 (* s (- (* 1/24 (pow s 2)) 1/2)))>
#<alt (+ 1 (* s (- (* (pow s 2) (+ 1/24 (* -1/240 (pow s 2)))) 1/2)))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<alt (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))>
#<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 1>
#<alt (+ 1 (* -1 (* c_p (log 1/2))))>
#<alt (+ 1 (* c_p (- (* -1 (* c_p (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))>
#<alt (+ 1 (* c_p (- (* c_p (- (* -1 (* c_p (+ (* -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_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<alt (/ 1 (pow 1/2 c_p))>
#<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 (pow 1/2 c_p))>
#<alt (+ (* -1/2 (/ (* c_p t) (pow 1/2 c_p))) (/ 1 (pow 1/2 c_p)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (+ (* -1/2 (/ (* c_p (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))) (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_p))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_p)))))))) (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))>
#<alt (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))>
#<alt (+ (* 12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))>
#<alt (- (+ (* 24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))))>
#<alt (- (+ (* -1 (/ (+ (* -144 (/ (pow c_p 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (+ (* -72 (/ c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (* 72 (/ (pow c_p 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))))) (pow t 4))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (+ (* -24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))))))>
#<alt (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))>
#<alt (+ (* 12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))>
#<alt (- (+ (* 24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))>
#<alt (- (+ (* -1 (/ (- (+ (* -144 (/ (pow c_p 2) (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (+ (* -72 (/ c_p (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (* 72 (/ (pow c_p 2) (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))) (* 24 (/ c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (pow t 3))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_p (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))>
#<alt (+ 1 (* c_p (- (* -1 (* c_p (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))>
#<alt (+ 1 (* c_p (- (* c_p (- (* -1 (* c_p (+ (* -1 (* (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (+ (* -1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3)) (* 1/6 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3)))))) (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))>
#<alt (/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) 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 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))>
#<alt (+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2))))>
#<alt (+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 3))) (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2)))))>
#<alt (+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 3))) (+ (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2))) (/ (* (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -72 c_p) (* 72 (pow c_p 2)))) (pow t 4)))))>
#<alt (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))>
#<alt (+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2))))>
#<alt (+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 3))) (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2)))))>
#<alt (+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -72 c_p) (* 72 (pow c_p 2)))) t)) (* 24 (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (pow t 3)))))>
#<alt 1>
#<alt (+ 1 (* c_p (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))))))>
#<alt (+ 1 (* c_p (+ (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (* 1/2 (* c_p (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (* c_p (+ (* 1/6 (* c_p (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3))) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)))))))>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (* -1/48 (pow t 3))>
#<alt (* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (* 1/4 (/ 1 (pow t 2)))) 1/48))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (* 1/4 (/ 1 (pow t 2)))) 1/48))>
#<alt (* -1/48 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))>
#<alt (* -1 (* (pow t 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 t))) (pow t 2))))))>
#<alt (* -1 (* (pow t 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 t))) (pow t 2))))))>
#<alt (* 1/4 t)>
#<alt (* t (+ 1/4 (* -1/48 (pow t 2))))>
#<alt (* t (+ 1/4 (* -1/48 (pow t 2))))>
#<alt (* t (+ 1/4 (* -1/48 (pow t 2))))>
#<alt (* -1/48 (pow t 3))>
#<alt (* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))>
#<alt (* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))>
#<alt (* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))>
#<alt (* -1/48 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))>
#<alt (* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))>
#<alt (* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))>
#<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_n t)))>
#<alt (+ 1 (* t (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 (pow c_n 2)))))))>
#<alt (+ 1 (* t (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* t (+ (* 1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/2 (* c_n (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3))) (* 1/2 (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2)))))))>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt (pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)>
#<alt 1>
#<alt (+ 1 (* 1/2 t))>
#<alt (+ 1 (* t (+ 1/2 (* 1/4 t))))>
#<alt (+ 1 (* t (+ 1/2 (* t (+ 1/4 (* 1/12 t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt -1/2>
#<alt (- (* -1/4 t) 1/2)>
#<alt (- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)>
#<alt (- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt (* -1/48 (pow t 2))>
#<alt 2>
#<alt (+ 2 (* -1 t))>
#<alt (+ 2 (* t (- (* 1/2 t) 1)))>
#<alt (+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>

Calls

75 calls:

Time	Variable		Point	Expression
66.0ms	t	@	0	(* -1/48 (* t t))
25.0ms	t	@	inf	(pow (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
24.0ms	s	@	inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)
21.0ms	s	@	-inf	(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)
18.0ms	t	@	-inf	(pow (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)

rewrite291.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2166×	`+-lowering-+.f64`
2166×	`+-lowering-+.f32`
1736×	`-lowering-.f32`
1736×	`-lowering-.f64`
1340×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	161
1	135	152
2	452	145
3	1277	138
4	2793	135
5	7535	135
0	8512	135

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 554

Calls

Call 1

Inputs
(pow (/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2) c_n)
(/ (+ 1 (/ -1 (+ 1 (/ 1 (exp s))))) 1/2)
(+ 1 (/ -1 (+ 1 (/ 1 (exp s)))))
(/ -1 (+ 1 (/ 1 (exp s))))
(/ 1 (pow 1/2 c_p))
(pow 1/2 c_p)
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p))
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (* t t))))) c_p)
(+ 1/2 (* t (+ 1/4 (* -1/48 (* t t)))))
(* t (+ 1/4 (* -1/48 (* t t))))
(pow (/ 1 (+ 1 (/ 1 (exp s)))) c_p)
(/ 1 (+ 1 (/ 1 (exp s))))
(+ 1 (/ 1 (exp s)))
(/ 1 (exp s))
(pow (/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t)))))) c_n)
(/ 1/2 (+ 1 (/ -1 (+ 1 (exp (- 0 t))))))
(+ 1 (/ -1 (+ 1 (exp (- 0 t)))))
(/ -1 (+ 1 (exp (- 0 t))))
(* -1/48 (* t t))
(+ 1 (exp (- 0 t)))

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

simplify593.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4392×	`-lowering-.f32`
4392×	`-lowering-.f64`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`
1764×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	3742
1	1648	3358
2	5611	3329
0	8080	3329

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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 (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
1
(+ 1 (* c_n (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))))
(+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* 1/2 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2))))))
(+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 3))) (* 1/2 (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2)))))))
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
1
(+ 1 (* -1/2 s))
(+ 1 (* s (- (* 1/24 (pow s 2)) 1/2)))
(+ 1 (* s (- (* (pow s 2) (+ 1/24 (* -1/240 (pow s 2)))) 1/2)))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
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))))
1
(+ 1 (* -1 (* c_p (log 1/2))))
(+ 1 (* c_p (- (* -1 (* c_p (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(+ 1 (* c_p (- (* c_p (- (* -1 (* c_p (+ (* -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_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
(/ 1 (pow 1/2 c_p))
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 (pow 1/2 c_p))
(+ (* -1/2 (/ (* c_p t) (pow 1/2 c_p))) (/ 1 (pow 1/2 c_p)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (+ (* -1/2 (/ (* c_p (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow 1/2 c_p))) (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_p))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_p)))))))) (+ (* -1/4 (/ (pow c_p 2) (pow 1/2 c_p))) (+ (* -1/8 (/ c_p (pow 1/2 c_p))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_p))))))) (* 1/2 (/ c_p (pow 1/2 c_p))))) (/ 1 (pow 1/2 c_p)))
(/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))
(+ (* 12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))
(- (+ (* 24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))))
(- (+ (* -1 (/ (+ (* -144 (/ (pow c_p 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (+ (* -72 (/ c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (* 72 (/ (pow c_p 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))))) (pow t 4))) (/ 1 (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))) (+ (* -24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))))))))
(/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))
(+ (* 12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))
(- (+ (* 24 (/ c_p (* (pow t 3) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))
(- (+ (* -1 (/ (- (+ (* -144 (/ (pow c_p 2) (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (+ (* -72 (/ c_p (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (* 72 (/ (pow c_p 2) (* t (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))) (* 24 (/ c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (pow t 3))) (/ 1 (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))))) (* -12 (/ c_p (* (pow t 2) (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))))
1
(+ 1 (* -1 (* c_p (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))
(+ 1 (* c_p (- (* -1 (* c_p (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))
(+ 1 (* c_p (- (* c_p (- (* -1 (* c_p (+ (* -1 (* (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (+ (* -1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3)) (* 1/6 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3)))))) (+ (* -1 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))) (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))))))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p))
(/ 1 (pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) 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))
(exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))
(+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2))))
(+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 3))) (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2)))))
(+ (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 3))) (+ (* -12 (/ (* c_p (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t))))))) (pow t 2))) (/ (* (exp (* c_p (+ (log -1/48) (* -3 (log (/ 1 t)))))) (+ (* -72 c_p) (* 72 (pow c_p 2)))) (pow t 4)))))
(exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))
(+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2))))
(+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -24 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 3))) (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2)))))
(+ (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -12 (/ (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))) (pow t 2))) (* -1 (/ (+ (* -1 (/ (* (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t)))))) (+ (* -72 c_p) (* 72 (pow c_p 2)))) t)) (* 24 (* c_p (exp (* c_p (+ (log 1/48) (* -3 (log (/ -1 t))))))))) (pow t 3)))))
1
(+ 1 (* c_p (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))))))
(+ 1 (* c_p (+ (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (* 1/2 (* c_p (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2))))))
(+ 1 (* c_p (+ (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) (* c_p (+ (* 1/6 (* c_p (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 3))) (* 1/2 (pow (log (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))) 2)))))))
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
(pow (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) c_p)
1/2
(+ 1/2 (* 1/4 t))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(* -1/48 (pow t 3))
(* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (* 1/4 (/ 1 (pow t 2)))) 1/48))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (* 1/4 (/ 1 (pow t 2)))) 1/48))
(* -1/48 (pow t 3))
(* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))
(* -1 (* (pow t 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 t))) (pow t 2))))))
(* -1 (* (pow t 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 t))) (pow t 2))))))
(* 1/4 t)
(* t (+ 1/4 (* -1/48 (pow t 2))))
(* t (+ 1/4 (* -1/48 (pow t 2))))
(* t (+ 1/4 (* -1/48 (pow t 2))))
(* -1/48 (pow t 3))
(* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))
(* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))
(* (pow t 3) (- (* 1/4 (/ 1 (pow t 2))) 1/48))
(* -1/48 (pow t 3))
(* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))
(* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))
(* -1 (* (pow t 3) (- 1/48 (* 1/4 (/ 1 (pow t 2))))))
(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_n t)))
(+ 1 (* t (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 (pow c_n 2)))))))
(+ 1 (* t (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* t (+ (* 1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) c_n)
1
(+ 1 (* c_n (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* 1/2 (* c_n (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))))
(+ 1 (* c_n (+ (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3))) (* 1/2 (pow (log (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2)))))))
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
(pow (/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t)))))) c_n)
1
(+ 1 (* 1/2 t))
(+ 1 (* t (+ 1/2 (* 1/4 t))))
(+ 1 (* t (+ 1/2 (* t (+ 1/4 (* 1/12 t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (neg t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(/ 1/2 (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
-1/2
(- (* -1/4 t) 1/2)
(- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)
(- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
(* -1/48 (pow t 2))
2
(+ 2 (* -1 t))
(+ 2 (* t (- (* 1/2 t) 1)))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))

Outputs
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 (* 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 (.f64 c_n #s(literal -1/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 c_n c_n)))))))
(+ 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 #s(literal -1/8 binary64)) (+.f64 (.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 c_n (.f64 c_n #s(literal 1/16 binary64)))))))))))
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 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 (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))))
(+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* 1/2 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) (.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) #s(literal 2 binary64)) (*.f64 c_n #s(literal 1/2 binary64))))))
(+ 1 (* c_n (+ (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) (* c_n (+ (* 1/6 (* c_n (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 3))) (* 1/2 (pow (log (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))) 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 c_n (+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.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 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) #s(literal 3 binary64)) (.f64 c_n #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))) #s(literal 2 binary64))))))))
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) c_n)
(pow (* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s)))))) c_n)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 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 (* -1/2 s))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) s))
(+ 1 (* s (- (* 1/24 (pow s 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 s (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 s s)))))
(+ 1 (* s (- (* (pow s 2) (+ 1/24 (* -1/240 (pow s 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 s (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 s s) (+.f64 #s(literal 1/24 binary64) (.f64 s (*.f64 s #s(literal -1/240 binary64))))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
(* 2 (- 1 (/ 1 (+ 1 (/ 1 (exp s))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) s))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 s))
(+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/4 binary64)))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 s (+.f64 #s(literal -1/4 binary64) (.f64 s (*.f64 s #s(literal 1/48 binary64))))))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 s (+.f64 #s(literal -1/4 binary64) (.f64 s (.f64 s (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 s s) #s(literal -1/480 binary64))))))))
(- 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 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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)))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 s) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 s #s(literal -1/4 binary64)))
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)
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1
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1
#s(literal 1 binary64)
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1
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
(* -1/48 (pow t 2))
(.f64 #s(literal -1/48 binary64) (.f64 t t))
2
#s(literal 2 binary64)
(+ 2 (* -1 t))
(-.f64 #s(literal 2 binary64) t)
(+ 2 (* t (- (* 1/2 t) 1)))
(+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) t))))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal -1 binary64) (.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal -1/6 binary64)))))))
(+ 1 (exp (neg t)))
(+.f64 #s(literal 1 binary64) (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)))
(+ 1 (exp (neg t)))
(+.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)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))
(+ 1 (exp (* -1 t)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))

eval239.0ms (0.2%)

Compiler: Compiled 14489 to 2231 computations (84.6% saved)

prune217.0ms (0.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	914	10	924
Fresh	4	3	7
Picked	4	1	5
Done	0	1	1
Total	922	15	937

Accuracy

100.0%

Counts

937 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
	93.4%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
	93.9%	(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)
✓	91.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p)
	95.3%	(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) c_n)
	90.3%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
	90.3%	(pow.f64 #s(literal 2 binary64) c_p)
	92.0%	(pow.f64 #s(literal 1/2 binary64) c_p)
	93.1%	(/.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))
	93.1%	(/.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (neg.f64 c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))
	90.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))
	94.7%	(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
	93.5%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))
	90.3%	(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
✓	94.6%	#s(literal 1 binary64)

Compiler

Compiled 903 to 350 computations (61.2% saved)

regimes131.0ms (0.1%)

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.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) (exp.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
(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))))) #s(literal 1/2 binary64)) c_n)
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.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 (exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (neg.f64 c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 (.f64 c_p #s(literal 1/2 binary64)) (*.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) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t))))) c_n))
(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))
(/.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))) (-.f64 #s(literal 0 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.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)))
(exp.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))))
(exp.f64 (-.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 (-.f64 #s(literal 0 binary64) c_p) (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(exp.f64 (+.f64 (+.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 t)))))))) (.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (+.f64 (.f64 c_n #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) c_p))))) (*.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 (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_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s)))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Outputs

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

(exp.f64 (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 s))))))

Calls

13 calls:

14.0ms	c_n
12.0ms	(neg.f64 s)
11.0ms	s
10.0ms	(neg.f64 t)
10.0ms	t

Results

Accuracy	Segments	Branch
98.8%	2	`c_p`
96.1%	1	`c_n`
96.1%	1	`t`
98.4%	2	`s`
96.1%	1	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
98.0%	2	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
98.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
98.0%	2	`(exp.f64 (neg.f64 s))`
98.4%	2	`(neg.f64 s)`
96.1%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
96.1%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
96.1%	1	`(exp.f64 (neg.f64 t))`
96.1%	1	`(neg.f64 t)`

Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes19.0ms (0%)

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.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) (exp.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
(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))))) #s(literal 1/2 binary64)) c_n)
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s))))) (+.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 (exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) s))) (neg.f64 c_p))) (pow.f64 #s(literal 1/2 binary64) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 (.f64 c_p #s(literal 1/2 binary64)) (*.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) (/.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))

Outputs

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

Calls

2 calls:

9.0ms	c_p
8.0ms	s

Results

Accuracy	Segments	Branch
98.4%	2	`s`
96.1%	1	`c_p`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0%)

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.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) (exp.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)
(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))))) #s(literal 1/2 binary64)) c_n)
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))) c_p) (+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p))

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`s`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.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) (exp.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t)))))) c_n)

Outputs

(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 1/2 binary64) (+.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)

Calls

4 calls:

17.0ms	c_p
5.0ms	s
5.0ms	t
5.0ms	c_n

Results

Accuracy	Segments	Branch
95.3%	1	`c_p`
95.3%	1	`c_n`
95.3%	1	`t`
97.6%	2	`s`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.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) (exp.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c_p (log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 t)))) c_p))

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.6%	2	`s`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 s (+.f64 #s(literal -1 binary64) (.f64 s (+.f64 #s(literal 1/2 binary64) (*.f64 s #s(literal -1/6 binary64)))))))) c_p)
(exp.f64 (*.f64 c_p (log.f64 #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) t))) c_p)

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`s`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 c_n (.f64 #s(literal 1/2 binary64) t)))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) s)) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t #s(literal 1/4 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) t))) 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))) 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)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`s`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`s`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	t
3.0ms	s
3.0ms	c_p
3.0ms	c_n

Results

Accuracy	Segments	Branch
94.7%	1	`c_p`
94.7%	1	`c_n`
94.7%	1	`t`
96.6%	2	`s`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes29.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	c_p
2.0ms	s
2.0ms	t
2.0ms	c_n

Results

Accuracy	Segments	Branch
94.7%	1	`c_p`
94.7%	1	`c_n`
94.7%	1	`t`
94.7%	1	`s`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

1.0ms	t
1.0ms	c_n
1.0ms	c_p
1.0ms	s

Results

Accuracy	Segments	Branch
94.6%	1	`s`
94.6%	1	`c_p`
94.6%	1	`c_n`
94.6%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch8.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	7.276669530125241e-9	1.3602727881239043e-8

Results

3.0ms	16×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 101 to 64 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow: 2.0ms (46.2% of total)

ival-div: 1.0ms (23.1% of total)

const: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

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

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

bsearch628.0ms (0.4%)

Results

528.0ms	318×	5	exit
8.0ms	1×	3	valid
5.0ms	23×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 97 to 59 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-pow: 155.0ms (37.2% of total)

ival-div: 60.0ms (14.4% of total)

backward-pass: 60.0ms (14.4% of total)

ival-sub: 49.0ms (11.8% of total)

ival-add: 36.0ms (8.6% of total)

ival-mult: 22.0ms (5.3% of total)

ival-exp: 17.0ms (4.1% of total)

ival-neg: 15.0ms (3.6% of total)

const: 2.0ms (0.5% of total)

end0.0ms (0%)

Steps

Time	Left	Right
628.0ms	-1.2928589652799022e+55	-5934085.9691978535

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	35	209
1	65	201
2	108	201
3	150	201
4	174	201
5	218	201
6	401	201
7	526	201
8	545	201
0	545	201

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	35	209
1	65	201
2	108	201
3	150	201
4	174	201
5	218	201
6	401	201
7	526	201
8	545	201
0	545	201

analyze926.0ms (0.6%)

sample2.3min (91.1%)

preprocess142.0ms (0.1%)

explain418.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0%)

localize133.0ms (0.1%)

series489.0ms (0.3%)

rewrite294.0ms (0.2%)

simplify274.0ms (0.2%)

eval69.0ms (0%)

prune78.0ms (0.1%)

simplify172.0ms (0.1%)

localize3.1s (2.1%)

series985.0ms (0.7%)

rewrite317.0ms (0.2%)

simplify588.0ms (0.4%)

eval343.0ms (0.2%)

prune213.0ms (0.1%)

simplify218.0ms (0.1%)

localize245.0ms (0.2%)

series501.0ms (0.3%)

rewrite335.0ms (0.2%)

simplify362.0ms (0.2%)

eval171.0ms (0.1%)

prune164.0ms (0.1%)

simplify23.0ms (0%)

localize271.0ms (0.2%)

series175.0ms (0.1%)

rewrite291.0ms (0.2%)

simplify593.0ms (0.4%)

eval239.0ms (0.2%)

prune217.0ms (0.1%)

regimes131.0ms (0.1%)

regimes19.0ms (0%)

regimes9.0ms (0%)

regimes33.0ms (0%)

regimes7.0ms (0%)

regimes9.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0%)

regimes29.0ms (0%)

regimes5.0ms (0%)

bsearch8.0ms (0%)

bsearch628.0ms (0.4%)

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	35	209
1	65	201
2	108	201
3	150	201
4	174	201
5	218	201
6	401	201
7	526	201
8	545	201
0	545	201