Metrics for Sample trimmed logistic on [-pi, pi]

analyze301.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	1.6%	98.4%	0%	0%	0%	0
0%	0%	1.6%	98.4%	0%	0%	0%	1
0%	0%	1.6%	98.4%	0%	0%	0%	2
0%	0%	1.6%	98.4%	0%	0%	0%	3
0%	0%	1.6%	98.4%	0%	0%	0%	4
25%	0.4%	1.2%	98.4%	0%	0%	0%	5
37.5%	0.6%	1%	98.4%	0%	0%	0%	6
56.2%	0.9%	0.7%	98.4%	0%	0%	0%	7
65.6%	1%	0.5%	98.4%	0%	0%	0%	8
76.6%	1.2%	0.4%	98.4%	0%	0%	0%	9
82%	1.3%	0.3%	98.4%	0%	0%	0%	10
87.9%	1.4%	0.2%	98.4%	0%	0%	0%	11
90.8%	1.4%	0.1%	98.4%	0%	0%	0%	12

Compiler

Compiled 54 to 31 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-add: 97.0ms (41.7% of total)

ival-div: 27.0ms (11.6% of total)

...c/correct-round.rkt:119:19: 27.0ms (11.6% of total)

ival-<=: 24.0ms (10.3% of total)

ival-exp: 12.0ms (5.2% of total)

ival-mult: 10.0ms (4.3% of total)

ival-neg: 10.0ms (4.3% of total)

ival-log: 9.0ms (3.9% of total)

ival-sub: 8.0ms (3.4% of total)

ival-and: 4.0ms (1.7% of total)

ival-pi: 3.0ms (1.3% of total)

const: 1.0ms (0.4% of total)

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

sample2.6s (14.7%)

Results

2.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-div: 383.0ms (22.1% of total)

...c/correct-round.rkt:119:19: 269.0ms (15.5% of total)

ival-mult: 200.0ms (11.6% of total)

ival-<=: 161.0ms (9.3% of total)

ival-add: 159.0ms (9.2% of total)

ival-log: 148.0ms (8.6% of total)

ival-exp: 128.0ms (7.4% of total)

ival-neg: 102.0ms (5.9% of total)

ival-sub: 92.0ms (5.3% of total)

ival-pi: 39.0ms (2.3% of total)

ival-and: 39.0ms (2.3% of total)

const: 7.0ms (0.4% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess218.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2196×	`sum5-define`
1982×	`sum4-define`
1786×	`fmsub-define`
1718×	`sum3-define`
1686×	`fnmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	61	198
1	140	192
2	302	192
3	877	170
4	2077	164
5	5272	163
0	21	32
1	44	32
2	76	32
3	149	29
4	250	28
5	464	27
6	856	27
7	1490	27
8	3326	27
9	4869	27
10	5520	27
11	5677	27
12	5734	27
13	5774	27
14	5789	27
15	5801	27
0	5801	27

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))

Outputs

(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))

(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))

Call 2

Inputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1)))
(neg (* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))))
(neg (* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1))))
(* (neg u) (log (- (/ 1 (+ (* s (- (/ 1 (+ 1 (exp (/ (neg (PI)) u)))) (/ 1 (+ 1 (exp (/ (PI) u)))))) (/ 1 (+ 1 (exp (/ (PI) u)))))) 1)))

Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg s) (log (+ (recip (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (+ 1 (neg u)) (+ 1 (exp (/ (PI) s)))))) -1)))
(* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg s) (log (+ (recip (+ (/ u (- -1 (exp (/ (PI) (neg s))))) (/ (+ 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
(* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1)))
(* s (log (+ (recip (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (+ 1 (neg u)) (+ 1 (exp (/ (PI) (neg s))))))) -1)))
(neg (* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))))
(* s (log (+ (recip (+ (/ u (- -1 (exp (/ (PI) (neg s))))) (/ (+ 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
(neg (* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1))))
(* (neg s) (log (+ (recip (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (+ 1 (neg u)) (+ 1 (exp (/ (PI) (neg s))))))) -1)))
(* (neg u) (log (- (/ 1 (+ (* s (- (/ 1 (+ 1 (exp (/ (neg (PI)) u)))) (/ 1 (+ 1 (exp (/ (PI) u)))))) (/ 1 (+ 1 (exp (/ (PI) u)))))) 1)))
(* (neg u) (log (+ (recip (fma (recip (+ 1 (exp (/ (PI) u)))) (- 1 s) (/ s (+ 1 (exp (/ (PI) (neg u))))))) -1)))

explain367.0ms (2.1%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))`
0	-	-	`(neg.f32 s)`
0	-	-	`(/.f32 (PI.f32) s)`
6	(1.7841580302047078e-7 0.0266357883810997)	-	`(exp.f32 (/.f32 (PI.f32) s))`
0	-	-	`u`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(neg.f32 (PI.f32))`
0	-	-	`(/.f32 (neg.f32 (PI.f32)) s)`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))`
0	-	-	`(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))`
0	-	-	`(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))`
6	(1.7841580302047078e-7 0.0266357883810997)	-	`(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))`
0	-	-	`(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))`
0	-	-	`(log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))`
0	-	-	`s`
0	-	-	`(+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))`
0	-	-	`(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))`
0	-	-	`(PI.f32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))`

Results

245.0ms

512×

valid

Compiler

Compiled 557 to 65 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-div: 119.0ms (71.3% of total)

ival-add: 11.0ms (6.6% of total)

ival-exp: 7.0ms (4.2% of total)

ival-mult: 7.0ms (4.2% of total)

ival-log: 7.0ms (4.2% of total)

ival-neg: 7.0ms (4.2% of total)

ival-sub: 5.0ms (3% of total)

ival-pi: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 31 to 21 computations (32.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))

Status

Accuracy

Program

▶

98.8%

(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	0	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))

Rules

2200×	`sum5-define`
1480×	`sum4-define`
1468×	`fnmadd-define`
1166×	`sum3-define`
1056×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	174
1	42	174
2	70	174
3	119	174
4	196	174
5	354	174
6	777	174
7	1815	174
8	5013	174
9	6002	174
10	6307	174
11	6348	174
12	6395	174
13	6434	174
14	6438	174
0	6438	174

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
(neg s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s))))))
1
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(exp (- 0 (/ (PI) s)))
(- 0 (/ (PI) s))
0
(/ (PI) s)
(PI)
(/ (- 1 u) (+ 1 (exp (/ (PI) s))))
(- 1 u)
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
-1

Outputs
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg s)
(neg.f32 s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))
(exp (- 0 (/ (PI) s)))
(exp.f32 (neg.f32 (/.f32 (PI.f32) s)))
(- 0 (/ (PI) s))
(neg.f32 (/.f32 (PI.f32) s))
0
#s(literal 0 binary32)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(/ (- 1 u) (+ 1 (exp (/ (PI) s))))
(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ 1 (exp (/ (PI) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
-1
#s(literal -1 binary32)

localize111.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (PI.f32) s))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))

Results

69.0ms

256×

valid

Compiler

Compiled 190 to 22 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 7.0ms (23.7% of total)

ival-exp: 6.0ms (20.3% of total)

ival-add: 5.0ms (17% of total)

ival-sub: 3.0ms (10.2% of total)

ival-log: 3.0ms (10.2% of total)

ival-mult: 2.0ms (6.8% of total)

ival-neg: 2.0ms (6.8% of total)

ival-pi: 1.0ms (3.4% of total)

const: 1.0ms (3.4% of total)

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

series116.0ms (0.7%)

Counts

7 → 108

Calls

Call 1

Inputs
#<alt (- 0 (/ (PI) s))>
#<alt (* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))>
#<alt (neg s)>
#<alt (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1))>
#<alt (/ (PI) s)>
#<alt (exp (/ (PI) s))>
#<alt (exp (- 0 (/ (PI) s)))>

Outputs
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))>
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#<alt (* -1 (/ (+ (* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* -24 (+ (* -8 (* (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* 1/2 (* (PI) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s))) s))>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))>
#<alt (exp (neg (/ (PI) s)))>
#<alt (exp (neg (/ (PI) s)))>
#<alt (exp (neg (/ (PI) s)))>
#<alt (exp (neg (/ (PI) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (PI) s)))>
#<alt (+ 1 (+ (* -1 (/ (PI) s)) (* 1/2 (/ (pow (PI) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (PI) s)) (+ (* -1/6 (/ (pow (PI) 3) (pow s 3))) (* 1/2 (/ (pow (PI) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (PI) s)))>
#<alt (+ 1 (* -1 (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))>

Calls

27 calls:

Time	Variable		Point	Expression
75.0ms	s	@	0	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
9.0ms	u	@	inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
8.0ms	s	@	inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
6.0ms	s	@	-inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
4.0ms	u	@	-inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))

rewrite270.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`fma-lowering-fma.f32`
1970×	`fma-lowering-fma.f64`
1904×	`-lowering-.f32`
1904×	`-lowering-.f64`
1806×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	90	69
2	503	69
3	3967	69
0	8363	69

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 218

Calls

Call 1

Inputs
(- 0 (/ (PI) s))
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1)))
(neg s)
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1))
(/ (PI) s)
(exp (/ (PI) s))
(exp (- 0 (/ (PI) s)))

Outputs
(neg.f32 (/.f32 (PI.f32) s))
(+.f32 #s(literal 0 binary32) (/.f32 (PI.f32) (neg.f32 s)))
(+.f32 (/.f32 (PI.f32) (neg.f32 s)) #s(literal 0 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) #s(literal -1 binary32))
(fma.f32 (PI.f32) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (PI.f32) s) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (neg.f32 s)) (/.f32 #s(literal -1 binary32) s))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (PI.f32) s))
(/.f32 (PI.f32) (neg.f32 s))
(/.f32 (/.f32 (PI.f32) s) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32)))
(/.f32 (neg.f32 (PI.f32)) s)
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (PI.f32) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (PI.f32) #s(literal 1 binary32))) s)
(/.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) s)
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) #s(literal 1 binary32))) s)
(*.f32 (PI.f32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (PI.f32) s) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (neg.f32 s)))
(*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) s))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal -1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (neg.f32 s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) s))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (neg.f32 s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 s)))
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (PI.f32) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
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(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(/.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))
(/.f32 (neg.f32 (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1 binary32))
(*.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (neg.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (PI.f32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))

simplify352.0ms (2%)

Algorithm

1×	egg-herbie

Rules

4810×	`-lowering-.f32`
4810×	`-lowering-.f64`
3282×	`+-lowering-+.f64`
3282×	`+-lowering-+.f32`
1754×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	7151
1	1591	5406
2	7168	5220
0	8008	5220

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))))) (pow s 2))) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))))) (pow s 2))) (+ (* -1/24 (/ (+ (* -1536 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* -24 (+ (* -8 (* (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) (pow s 3))) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))
(* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))
(+ (* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) (* -1/2 (/ (+ (* -16 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))
(+ (* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) (* -1 (/ (+ (* -1/6 (/ (+ (* -128 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))
(+ (* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* -24 (+ (* -8 (* (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* 1/2 (* (PI) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))
(* -1 (PI))
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(* -1 (/ (+ (* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* -24 (+ (* -8 (* (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* 1/2 (* (PI) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) (+ (* 4 (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s))) s))
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
1
(+ 1 (/ (PI) s))
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
1
(+ 1 (/ (PI) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(exp (neg (/ (PI) s)))
(exp (neg (/ (PI) s)))
(exp (neg (/ (PI) s)))
(exp (neg (/ (PI) s)))
1
(+ 1 (* -1 (/ (PI) s)))
(+ 1 (+ (* -1 (/ (PI) s)) (* 1/2 (/ (pow (PI) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (PI) s)) (+ (* -1/6 (/ (pow (PI) 3) (pow s 3))) (* 1/2 (/ (pow (PI) 2) (pow s 2))))))
1
(+ 1 (* -1 (/ (PI) s)))
(+ 1 (* -1 (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)))
(+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))

Outputs
(* -1 (/ (PI) s))
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(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
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(* -1 (/ (PI) s))
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(* -1 (/ (PI) s))
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(* -1 (/ (PI) s))
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(* -1 (PI))
(neg.f32 (PI.f32))
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(* -1 (* s (log -1)))
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(* -1 (* s (log -1)))
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(+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32)))))))) s) (.f32 (+.f32 (.f32 #s(literal -6 binary32) (+.f32 (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32))))) #s(literal 16 binary32)))) (+.f32 (.f32 #s(literal 4 binary32) (-.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 u (.f32 (PI.f32) (PI.f32)))) #s(literal 1/48 binary32))) (+.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 u #s(literal -1/16 binary32)) #s(literal -1/24 binary32)))) (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 u #s(literal 1/24 binary32)) #s(literal 1/16 binary32))))))) (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) #s(literal 0 binary32))))) (+.f32 (.f32 #s(literal -128 binary32) (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32))))))) (.f32 (+.f32 (.f32 #s(literal -8 binary32) (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32)))))) #s(literal 0 binary32)) (.f32 (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))) #s(literal -24 binary32))))) #s(literal 1/6 binary32))) s)) s)) (neg.f32 s))
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
1
#s(literal 1 binary32)
(+ 1 (/ (PI) s))
(+.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 s s))))
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
(+.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 s (.f32 s s))))))
1
#s(literal 1 binary32)
(+ 1 (/ (PI) s))
(+.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))
(exp (neg (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(exp (neg (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(exp (neg (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(exp (neg (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (PI) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (+ (* -1 (/ (PI) s)) (* 1/2 (/ (pow (PI) 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (PI.f32) s)))
(+ 1 (+ (* -1 (/ (PI) s)) (+ (* -1/6 (/ (pow (PI) 3) (pow s 3))) (* 1/2 (/ (pow (PI) 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 s s)) (/.f32 (PI.f32) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) s))) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (PI) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (* -1 (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) s)) s))
(+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (PI.f32) (/.f32 (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)))) s)) s))

eval66.0ms (0.4%)

Compiler: Compiled 19701 to 3178 computations (83.9% saved)

prune79.0ms (0.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	412	16	428
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	16	429

Accuracy

98.8%

Counts

429 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(-.f32 (/.f32 (.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s u)) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
	5.4%	(+.f32 (+.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32))))) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -128 binary32))) (+.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -24 binary32))) (.f32 #s(literal -6 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) (+.f32 (.f32 #s(literal 4 binary32) (-.f32 (+.f32 (.f32 u (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)))) (.f32 (PI.f32) #s(literal 0 binary32))) (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (+.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/24 binary32) (.f32 u #s(literal 1/16 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/16 binary32) (.f32 u #s(literal -1/24 binary32)))))))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 0 binary32)))))))) (*.f32 s s)))
	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
	12.2%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) (/.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) #s(literal 1/2 binary32)) s)) s))
	12.2%	(.f32 (neg.f32 s) (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (.f32 u #s(literal -1/4 binary32))))) s))
	12.0%	(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
▶	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
▶	98.8%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	92.0%	(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))) #s(literal -1 binary32))))
▶	94.2%	(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal -1 binary32))))
	85.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)))))) #s(literal -1 binary32))))
▶	8.7%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))))
	38.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	12.2%	(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
▶	12.0%	(neg.f32 (PI.f32))

Compiler

Compiled 1326 to 686 computations (48.3% saved)

simplify215.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal -1 binary32))))
✓	cost-diff	32	(-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))
✓	cost-diff	128	(+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32)))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	0	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))
✓	cost-diff	64	(.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s))
✓	cost-diff	160	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(neg.f32 (PI.f32))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	0	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
✓	cost-diff	32	(pow.f32 (E.f32) (/.f32 (PI.f32) s))

Rules

3646×	`-lowering-.f32`
3646×	`-lowering-.f64`
1770×	`+-lowering-+.f64`
1770×	`+-lowering-+.f32`
1544×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	764
1	140	749
2	316	721
3	930	707
4	3269	682
0	8406	682

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
(neg s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s))))))
1
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(exp (- 0 (/ (PI) s)))
(- 0 (/ (PI) s))
0
(/ (PI) s)
(PI)
(/ (- 1 u) (+ 1 (pow (E) (/ (PI) s))))
(- 1 u)
(+ 1 (pow (E) (/ (PI) s)))
(pow (E) (/ (PI) s))
(E)
-1
(neg (PI))
(PI)
(* (neg s) (* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s)))
(neg s)
s
(* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s))
(+ (* (* (PI) u) 1/2) (* (PI) -1/4))
(* (* (PI) u) 1/2)
(* (PI) u)
(PI)
u
1/2
(* (PI) -1/4)
-1/4
(/ -4 s)
-4
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)))
(neg s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1))))
1
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(exp (- 0 (/ (PI) s)))
(- 0 (/ (PI) s))
0
(/ (PI) s)
(PI)
(/ (- 1 u) (+ 1 1))
(- 1 u)
(+ 1 1)
-1
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)))
(neg s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))))
1
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(exp (- 0 (/ (PI) s)))
(- 0 (/ (PI) s))
0
(/ (PI) s)
(PI)
(/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))
(- 1 u)
(+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
(- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))
(/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)
(- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))
(neg (PI))
(/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(/ (* (* (PI) (* (PI) (PI))) 1/6) s)
(* (* (PI) (* (PI) (PI))) 1/6)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/6
(* (PI) (* (PI) 1/2))
(* (PI) 1/2)
1/2
-1

Outputs
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg s)
(neg.f32 s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (- 0 (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(- 0 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
0
#s(literal 0 binary32)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(/ (- 1 u) (+ 1 (pow (E) (/ (PI) s))))
(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ 1 (pow (E) (/ (PI) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(pow (E) (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(E)
(E.f32)
-1
#s(literal -1 binary32)
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(* (neg s) (* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s)))
(-.f32 (.f32 (.f32 u (PI.f32)) #s(literal 2 binary32)) (PI.f32))
(neg s)
(neg.f32 s)
s
(* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 u (PI.f32)) #s(literal -2 binary32))) s)
(+ (* (* (PI) u) 1/2) (* (PI) -1/4))
(.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (.f32 u #s(literal 1/2 binary32))))
(* (* (PI) u) 1/2)
(.f32 (.f32 u (PI.f32)) #s(literal 1/2 binary32))
(* (PI) u)
(*.f32 u (PI.f32))
(PI)
(PI.f32)
u
1/2
#s(literal 1/2 binary32)
(* (PI) -1/4)
(*.f32 (PI.f32) #s(literal -1/4 binary32))
-1/4
#s(literal -1/4 binary32)
(/ -4 s)
(/.f32 #s(literal -4 binary32) s)
-4
#s(literal -4 binary32)
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32))))))))
(neg s)
(neg.f32 s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1))
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32)))))))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32))))))
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32)))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (- 0 (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(- 0 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
0
#s(literal 0 binary32)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(/ (- 1 u) (+ 1 1))
(+.f32 #s(literal 1/2 binary32) (/.f32 u #s(literal -2 binary32)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ 1 1)
#s(literal 2 binary32)
-1
#s(literal -1 binary32)
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)))
(.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s))))))))))
(neg s)
(neg.f32 s)
s
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1))
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s)))))))))
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s))))))))
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s)))))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s))))))
(/ u (+ 1 (exp (- 0 (/ (PI) s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
u
(+ 1 (exp (- 0 (/ (PI) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (- 0 (/ (PI) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(- 0 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
0
#s(literal 0 binary32)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))
(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s)))))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
(+.f32 #s(literal 2 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s))))
(- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s))))
(/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)
(/.f32 (-.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) s)) #s(literal -1/2 binary32)))) s) (PI.f32)) s)
(- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))
(-.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) s)) #s(literal -1/2 binary32)))) s) (PI.f32))
(neg (PI))
(neg.f32 (PI.f32))
(/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)
(/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s)))) s)
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) s))))
(/ (* (* (PI) (* (PI) (PI))) 1/6) s)
(/.f32 (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))) s)
(* (* (PI) (* (PI) (PI))) 1/6)
(.f32 (PI.f32) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(* (PI) (* (PI) (PI)))
(.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
1/6
#s(literal 1/6 binary32)
(* (PI) (* (PI) 1/2))
(.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(* (PI) 1/2)
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)

localize569.0ms (3.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))))
✓	accuracy	96.9%	(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
✓	accuracy	96.9%	(.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32)))))
✓	accuracy	98.7%	(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))
✓	accuracy	58.9%	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32)))
✓	accuracy	99.0%	(*.f32 (PI.f32) u)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.9%	(.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s))
✓	accuracy	98.8%	(+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))
✓	accuracy	100.0%	(neg.f32 (PI.f32))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	99.1%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.9%	(E.f32)

Results

324.0ms	253×	0	valid
45.0ms	3×	5	exit

Compiler

Compiled 881 to 60 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 53.0ms (28.6% of total)

ival-pow: 53.0ms (28.6% of total)

ival-add: 21.0ms (11.3% of total)

ival-mult: 21.0ms (11.3% of total)

ival-log: 12.0ms (6.5% of total)

ival-sub: 5.0ms (2.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (2.7% of total)

ival-e: 3.0ms (1.6% of total)

backward-pass: 3.0ms (1.6% of total)

ival-neg: 3.0ms (1.6% of total)

ival-exp: 2.0ms (1.1% of total)

const: 1.0ms (0.5% of total)

ival-pi: 1.0ms (0.5% of total)

series242.0ms (1.4%)

Counts

25 → 336

Calls

Call 1

Inputs
#<alt (pow (E) (/ (PI) s))>
#<alt (* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))>
#<alt (neg s)>
#<alt (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1))>
#<alt (neg (PI))>
#<alt (PI)>
#<alt (* (neg s) (* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s)))>
#<alt (* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s))>
#<alt (+ (* (* (PI) u) 1/2) (* (PI) -1/4))>
#<alt (+ 1 1)>
#<alt (* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)))>
#<alt (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1))>
#<alt (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))>
#<alt (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))>
#<alt (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))>
#<alt (* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)))>
#<alt (E)>
#<alt (/ (PI) s)>
#<alt (* (PI) u)>
#<alt (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)>
#<alt (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1))))>
#<alt (* (PI) (PI))>
#<alt (* (PI) (* (PI) 1/2))>
#<alt (* (* (PI) (* (PI) (PI))) 1/6)>
#<alt (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))>

Outputs
#<alt (exp (/ (* (PI) (log (E))) s))>
#<alt (exp (/ (* (PI) (log (E))) s))>
#<alt (exp (/ (* (PI) (log (E))) s))>
#<alt (exp (/ (* (PI) (log (E))) s))>
#<alt 1>
#<alt (+ 1 (/ (* (PI) (log (E))) s))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s))))>
#<alt 1>
#<alt (+ 1 (/ (* (PI) (log (E))) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1 (/ (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) s)))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E))))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* -6 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))) (pow s 2))) (* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* -6 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))) (pow s 2))) (+ (* -1/24 (/ (+ (* -1536 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2))) (+ (* -96 (* (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (+ (* -24 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) 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(+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))))) (- (* 1/4 (* u (* (PI) (log 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#<alt (+ (* -1/4 (/ (* u (PI)) (* s (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2)))) (/ 1 (+ (* 1/2 u) (* 1/2 (- 1 u)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))) (* s (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2)))) (* -1/16 (/ (* (pow u 2) (pow (PI) 2)) (* s (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 3))))) (* -1/4 (/ (* u (PI)) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2)))) s)) (/ 1 (+ (* 1/2 u) (* 1/2 (- 1 u)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (* s (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2)))) (+ (* -1/4 (/ (* u (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (* s (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 3)))) (* 1/4 (/ (* u (* (PI) (+ (* -1 (/ (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2))) (* -1/16 (/ (* (pow u 2) (pow (PI) 2)) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 3)))))) (* s (+ (* 1/2 u) (* 1/2 (- 1 u)))))))) (+ (* -1 (/ (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2))) (* -1/16 (/ (* (pow u 2) (pow (PI) 2)) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 3))))) s)) (* -1/4 (/ (* u (PI)) (pow (+ (* 1/2 u) (* 1/2 (- 1 u))) 2)))) s)) (/ 1 (+ (* 1/2 u) (* 1/2 (- 1 u)))))>
#<alt (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))>
#<alt (+ (* -1 (/ u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))))>
#<alt (+ (* -1 (/ u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))))>
#<alt (+ (* -1 (/ u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))))>
#<alt (* -1 (/ u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))))>
#<alt (* u (- (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))>
#<alt (* u (- (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))>
#<alt (* u (- (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))) (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))>
#<alt (* -1 (/ u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))))>
#<alt (* -1 (* u (- (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))) (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))))>
#<alt (* -1 (* u (- (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))) (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))))>
#<alt (* -1 (* u (- (/ 1 (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s)))) (/ 1 (* u (- 2 (* -1 (/ (+ (PI) (+ (* 1/6 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s)))) s))))))))>
#<alt (* 6 (/ (* (pow s 3) (- 1 u)) (pow (PI) 3)))>
#<alt (* (pow s 3) (+ (* -18 (/ (* s (- 1 u)) (pow (PI) 4))) (* 6 (/ (- 1 u) (pow (PI) 3)))))>
#<alt (* (pow s 3) (+ (* 6 (/ (- 1 u) (pow (PI) 3))) (* s (- (* -1 (* s (+ (* -54 (/ (- 1 u) (pow (PI) 5))) (* 36 (/ (- 1 u) (pow (PI) 5)))))) (* 18 (/ (- 1 u) (pow (PI) 4)))))))>
#<alt (* (pow s 3) (+ (* 6 (/ (- 1 u) (pow (PI) 3))) (* s (- (* s (- (* -1 (* s (+ (* -108 (/ (- 1 u) (pow (PI) 6))) (+ (* -3 (/ (+ (* -54 (/ (- 1 u) (pow (PI) 5))) (* 36 (/ (- 1 u) (pow (PI) 5)))) (PI))) (* 72 (/ (- 1 u) (pow (PI) 6))))))) (+ (* -54 (/ (- 1 u) (pow (PI) 5))) (* 36 (/ (- 1 u) (pow (PI) 5)))))) (* 18 (/ (- 1 u) (pow (PI) 4)))))))>
#<alt (* 1/2 (- 1 u))>
#<alt (+ (* -1/4 (/ (* (PI) (- 1 u)) s)) (* 1/2 (- 1 u)))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u)))) (pow s 2))) (* 1/2 (- 1 u))) (* 1/4 (/ (* (PI) (- 1 u)) s)))>
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u)))))) (+ (* -1/16 (* (pow (PI) 3) (- 1 u))) (* 1/24 (* (pow (PI) 3) (- 1 u))))) (pow s 3))) (* 1/2 (- 1 u))) (+ (* -1/8 (/ (* (pow (PI) 2) (- 1 u)) (pow s 2))) (+ (* 1/8 (/ (* (pow (PI) 2) (- 1 u)) (pow s 2))) (* 1/4 (/ (* (PI) (- 1 u)) s)))))>
#<alt (* 1/2 (- 1 u))>
#<alt (+ (* -1/4 (/ (* (PI) (- 1 u)) s)) (* 1/2 (- 1 u)))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow (PI) 2) (- 1 u)) s)) (* 1/8 (/ (* (pow (PI) 2) (- 1 u)) s))) (* -1/4 (* (PI) (- 1 u)))) s)) (* 1/2 (- 1 u)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow (PI) 3) (- 1 u)) s)) (+ (* 1/16 (/ (* (pow (PI) 3) (- 1 u)) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u))))) s)))) (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u))))) s)) (* -1/4 (* (PI) (- 1 u)))) s)) (* 1/2 (- 1 u)))>

Calls

84 calls:

Time	Variable		Point	Expression
64.0ms	s	@	0	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)))
47.0ms	s	@	0	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
13.0ms	s	@	-inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
10.0ms	s	@	inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
10.0ms	u	@	inf	(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)))

rewrite462.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3660×	`-lowering-.f32`
3660×	`-lowering-.f64`
2574×	`/-lowering-/.f32`
2574×	`/-lowering-/.f64`
1516×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	309
1	259	294
2	1472	286
0	9011	286

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 552

Calls

Call 1

Inputs
(pow (E) (/ (PI) s))
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1)))
(neg s)
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (pow (E) (/ (PI) s)))))) -1))
(neg (PI))
(PI)
(* (neg s) (* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s)))
(* (+ (* (* (PI) u) 1/2) (* (PI) -1/4)) (/ -4 s))
(+ (* (* (PI) u) 1/2) (* (PI) -1/4))
(+ 1 1)
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1))
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
(- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) -1)))
(E)
(/ (PI) s)
(* (PI) u)
(+ (/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1)))) -1)
(/ 1 (+ (/ u (+ 1 (exp (- 0 (/ (PI) s))))) (/ (- 1 u) (+ 1 1))))
(* (PI) (PI))
(* (PI) (* (PI) 1/2))
(* (* (PI) (* (PI) (PI))) 1/6)
(/ (- 1 u) (+ 1 (- 1 (/ (- (neg (PI)) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))

Outputs
(exp.f32 (/.f32 (PI.f32) s))
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
(pow.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 (PI.f32) s)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
(pow.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (PI.f32) s)))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s)))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) s))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 (PI.f32) (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) s)) (PI.f32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (PI.f32) (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (PI.f32))
(/.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1 binary32))
(*.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (PI.f32) s))))
(.f32 (exp.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (PI.f32) s))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) s))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) s))))
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(+.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))) #s(literal 0 binary32)) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(+.f32 (.f32 #s(literal 0 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))))
(.f32 #s(literal -1 binary32) (.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))))
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))) (neg.f32 s))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))) #s(literal -1 binary32)) s)
(neg.f32 s)
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(-.f32 #s(literal 0 binary32) s)
(*.f32 s #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) s)
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(neg.f32 (PI.f32))
(+.f32 #s(literal 0 binary32) (neg.f32 (PI.f32)))
(-.f32 #s(literal 0 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))
(*.f32 #s(literal -1 binary32) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(neg.f32 (neg.f32 (PI.f32)))
(neg.f32 (/.f32 (PI.f32) #s(literal -1 binary32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (PI.f32)))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) #s(literal -1 binary32)))
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
(/.f32 (PI.f32) #s(literal 1 binary32))
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(.f32 #s(literal -1 binary32) (/.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s))))
(.f32 (+.f32 u #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s))) (-.f32 #s(literal 1 binary32) u))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s))) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 u #s(literal -1 binary32))) #s(literal -1 binary32)))
(.f32 (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s)) (.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)))) s)) s)) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) s)) (.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s)) s)))))

simplify672.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5014×	`-lowering-.f32`
5014×	`-lowering-.f64`
2726×	`+-lowering-+.f64`
2726×	`+-lowering-+.f32`
1800×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1501	22695
1	5251	18014
0	9180	18014

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(exp (/ (* (PI) (log (E))) s))
(exp (/ (* (PI) (log (E))) s))
(exp (/ (* (PI) (log (E))) s))
(exp (/ (* (PI) (log (E))) s))
1
(+ 1 (/ (* (PI) (log (E))) s))
(+ 1 (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s)))
(+ 1 (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s))))
1
(+ 1 (/ (* (PI) (log (E))) s))
(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1 (/ (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) s)))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (neg (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E))))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* -6 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))) (pow s 2))) (* 4 (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* -6 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))) (pow s 2))) (+ (* -1/24 (/ (+ (* -1536 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2))) (+ (* -96 (* (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) 2)) (* 4 (- (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (+ (* -24 (+ (* -8 (* (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))) (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log 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(* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2))))) (+ (* -1/8 (* u (pow (PI) 2))) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (+ (* 1/8 (* u (pow (PI) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ (* -1/4 (* u (PI))) (* 1/4 (* (PI) (log (E)))))))) (* 4 (- (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))) (* 1/8 (* u (* (pow (PI) 2) (pow (log (E)) 2)))))))) (+ (* -1/16 (* u (* (pow (PI) 3) (pow (log (E)) 3)))) (* 1/24 (* u (* (pow (PI) 3) (pow (log (E)) 3)))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))))) (- (* 1/4 (* u (* (PI) (log (E))))) (+ 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Outputs
(exp (/ (* (PI) (log (E))) s))
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(* -1 (* s (log -1)))
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(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) u)) s)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow (PI) 3) (- 1 u)) s)) (+ (* 1/16 (/ (* (pow (PI) 3) (- 1 u)) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u))))) s)))) (+ (* -1/8 (* (pow (PI) 2) (- 1 u))) (* 1/8 (* (pow (PI) 2) (- 1 u))))) s)) (* -1/4 (* (PI) (- 1 u)))) s)) (* 1/2 (- 1 u)))
(-.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (.f32 #s(literal -1/24 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) u) s))) (+.f32 (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) u) s))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) #s(literal 0 binary32)) s))) #s(literal 0 binary32)))) s) (.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) u)))) s))

eval466.0ms (2.7%)

Compiler: Compiled 90171 to 13775 computations (84.7% saved)

prune359.0ms (2.1%)

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1844	33	1877
Fresh	7	4	11
Picked	2	3	5
Done	0	0	0
Total	1853	40	1893

Accuracy

98.8%

Counts

1893 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
	12.2%	(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
	12.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
	1.8%	(-.f32 (/.f32 (.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s u)) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
	12.2%	(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
	12.2%	(+.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) (neg.f32 s))) (.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)) s))))
	12.2%	(+.f32 (.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))) (neg.f32 s)) (.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (neg.f32 s)))
	12.2%	(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
	12.2%	(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
	12.2%	(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
▶	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
▶	12.2%	(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
	12.0%	(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
▶	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))) (.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
✓	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
	12.0%	(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) u) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s)))
	4.9%	(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
	11.7%	(.f32 (neg.f32 s) (log1p.f32 (/.f32 (+.f32 (PI.f32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 s s)))) s)))
	13.4%	(.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 u (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))))))
	85.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) #s(literal -1 binary32))))
✓	98.8%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	38.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	96.9%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
	14.3%	(.f32 (neg.f32 s) (log.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (-.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 s (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 (/.f32 (.f32 (PI.f32) u) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) s)) #s(literal -1 binary32))))
	10.1%	(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
	12.2%	(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
	8.4%	(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
▶	4.9%	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
▶	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
	12.0%	(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
✓	12.0%	(neg.f32 (PI.f32))

Compiler

Compiled 1734 to 1118 computations (35.5% saved)

simplify206.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	64	(*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))
✓	cost-diff	160	(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
✓	cost-diff	3328	(fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))))
✓	cost-diff	0	(.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))
✓	cost-diff	64	(+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))
✓	cost-diff	64	(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
✓	cost-diff	192	(+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) u)))
✓	cost-diff	0	(/.f32 (PI.f32) s)
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	64	(+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s))
✓	cost-diff	160	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) u)
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
✓	cost-diff	0	(neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))))
✓	cost-diff	0	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)

Rules

3788×	`-lowering-.f32`
3788×	`-lowering-.f64`
1160×	`neg-lowering-neg.f64`
1160×	`neg-lowering-neg.f32`
1048×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	364
1	125	358
2	370	352
3	1320	325
4	4213	325
0	8337	325

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)
(/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1))))
1
(+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))
(/ u (+ 1 (exp (/ (PI) (neg s)))))
u
(+ 1 (exp (/ (PI) (neg s))))
(exp (/ (PI) (neg s)))
(/ (PI) (neg s))
(PI)
(neg s)
s
(/ (- 1 u) (+ (exp (/ (PI) s)) 1))
(- 1 u)
(+ (exp (/ (PI) s)) 1)
(exp (/ (PI) s))
(/ (PI) s)
-1
(* 2 (* (PI) u))
2
(* (PI) u)
(PI)
u
(* (neg s) (+ (/ (PI) s) (/ (* -2 (* (PI) u)) s)))
(neg s)
s
(+ (/ (PI) s) (/ (* -2 (* (PI) u)) s))
(/ (PI) s)
(PI)
(/ (* -2 (* (PI) u)) s)
(* -2 (* (PI) u))
-2
(* (PI) u)
u
(* -4 (+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u))))
-4
(+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u)))
(+ (* -1/4 (* (PI) u)) (* (PI) 1/4))
(* -1/4 (* (PI) u))
-1/4
(* (PI) u)
(PI)
u
(* (PI) 1/4)
1/4
(* (neg s) (+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u)))))
(neg s)
s
(+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u))))
(/ -4 s)
-4
(* (PI) -1/4)
(PI)
-1/4
(* (/ -4 s) (/ (PI) (/ 2 u)))
(/ (PI) (/ 2 u))
(/ 2 u)
2
u

Outputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)))
(neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ u (+ 1 (exp (/ (PI) (neg s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
u
(+ 1 (exp (/ (PI) (neg s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (PI) (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (PI) (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(PI)
(PI.f32)
(neg s)
(neg.f32 s)
s
(/ (- 1 u) (+ (exp (/ (PI) s)) 1))
(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ (exp (/ (PI) s)) 1)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(/ (PI) s)
(/.f32 (PI.f32) s)
-1
#s(literal -1 binary32)
(* 2 (* (PI) u))
(.f32 u (.f32 (PI.f32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (PI) u)
(*.f32 u (PI.f32))
(PI)
(PI.f32)
u
(* (neg s) (+ (/ (PI) s) (/ (* -2 (* (PI) u)) s)))
(-.f32 (.f32 u (.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))
(neg s)
(neg.f32 s)
s
(+ (/ (PI) s) (/ (* -2 (* (PI) u)) s))
(.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32))))
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(/ (* -2 (* (PI) u)) s)
(/.f32 (.f32 (.f32 u (PI.f32)) #s(literal -2 binary32)) s)
(* -2 (* (PI) u))
(.f32 (.f32 u (PI.f32)) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (PI) u)
(*.f32 u (PI.f32))
u
(* -4 (+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u))))
(-.f32 (.f32 u (.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))
-4
#s(literal -4 binary32)
(+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u)))
(.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (.f32 u #s(literal -1/2 binary32))))
(+ (* -1/4 (* (PI) u)) (* (PI) 1/4))
(.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (.f32 u #s(literal -1/4 binary32))))
(* -1/4 (* (PI) u))
(.f32 u (.f32 (PI.f32) #s(literal -1/4 binary32)))
-1/4
#s(literal -1/4 binary32)
(* (PI) u)
(*.f32 u (PI.f32))
(PI)
(PI.f32)
u
(* (PI) 1/4)
(*.f32 (PI.f32) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(* (neg s) (+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u)))))
(-.f32 (.f32 u (.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))
(neg s)
(neg.f32 s)
s
(+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u))))
(.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32))))
(/ -4 s)
(/.f32 #s(literal -4 binary32) s)
-4
#s(literal -4 binary32)
(* (PI) -1/4)
(*.f32 (PI.f32) #s(literal -1/4 binary32))
(PI)
(PI.f32)
-1/4
#s(literal -1/4 binary32)
(* (/ -4 s) (/ (PI) (/ 2 u)))
(/.f32 (.f32 (.f32 u (PI.f32)) #s(literal -2 binary32)) s)
(/ (PI) (/ 2 u))
(/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))
(/ 2 u)
(/.f32 #s(literal 2 binary32) u)
2
#s(literal 2 binary32)
u

localize300.0ms (1.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
✓	accuracy	98.9%	(/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))
✓	accuracy	98.7%	(*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))
✓	accuracy	98.5%	(fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.4%	(+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) u)))
✓	accuracy	99.0%	(*.f32 (PI.f32) u)
✓	accuracy	98.8%	(+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))
✓	accuracy	99.1%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (PI.f32) u)
✓	accuracy	98.8%	(+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s))
✓	accuracy	100.0%	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.0%	(*.f32 (PI.f32) u)
✓	accuracy	99.7%	(exp.f32 (/.f32 (PI.f32) s))
✓	accuracy	99.0%	(/.f32 (PI.f32) (neg.f32 s))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)

Results

198.0ms

256×

valid

Compiler

Compiled 389 to 45 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 24.0ms (33% of total)

ival-div: 16.0ms (22% of total)

ival-add: 12.0ms (16.5% of total)

compiled-spec: 6.0ms (8.3% of total)

ival-exp: 4.0ms (5.5% of total)

ival-log: 4.0ms (5.5% of total)

ival-neg: 4.0ms (5.5% of total)

ival-pi: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

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

series131.0ms (0.8%)

Counts

21 → 348

Calls

Call 1

Inputs
#<alt (* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)>
#<alt (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)))>
#<alt (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))>
#<alt (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)>
#<alt (* 2 (* (PI) u))>
#<alt (* (PI) u)>
#<alt (PI)>
#<alt (* (neg s) (+ (/ (PI) s) (/ (* -2 (* (PI) u)) s)))>
#<alt (+ (/ (PI) s) (/ (* -2 (* (PI) u)) s))>
#<alt (neg s)>
#<alt (/ (PI) s)>
#<alt (+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u)))>
#<alt (* -4 (+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u))))>
#<alt (+ (* -1/4 (* (PI) u)) (* (PI) 1/4))>
#<alt (* -1/4 (* (PI) u))>
#<alt (+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u))))>
#<alt (* (neg s) (+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u)))))>
#<alt (* (/ -4 s) (/ (PI) (/ 2 u)))>
#<alt (/ (PI) (neg s))>
#<alt (exp (/ (PI) s))>
#<alt (/ (PI) (/ 2 u))>

Outputs
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))>
#<alt (+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))>
#<alt (+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ s (* u (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))))))))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2))))) (* 1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))))))) u))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))>
#<alt (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))))) (pow s 2))) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))>
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#<alt (+ 1 (* -4 (/ (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) s)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow s 2)))) (* 4 (/ (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) s)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) s)))))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) s)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) s)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) s)) (+ (* 4 (/ (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) s)))) (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) s)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* 2 (* u (PI)))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* u (PI))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (/ (PI) s)>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (* 1/4 (PI))>
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))>
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))>
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))>
#<alt (* -1/2 (* u (PI)))>
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* -1/2 (* u (PI)))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* 1/4 (PI))>
#<alt (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))>
#<alt (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))>
#<alt (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))>
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (* -1/4 (* u (PI)))>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (/ (+ (PI) (* -2 (* u (PI)))) s)>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))>
#<alt (/ (PI) s)>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (* -1 (+ (PI) (* -2 (* u (PI)))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (+ (* -1 (PI)) (* 2 (* u (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))>
#<alt (* 2 (* u (PI)))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -2 (/ (* u (PI)) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (* -1 (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>
#<alt (* 1/2 (* u (PI)))>

Calls

87 calls:

Time	Variable		Point	Expression
58.0ms	s	@	0	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
31.0ms	s	@	-inf	(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)
3.0ms	u	@	0	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
2.0ms	u	@	inf	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
2.0ms	u	@	-inf	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)

rewrite434.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4786×	`-lowering-.f32`
4786×	`-lowering-.f64`
4016×	`/-lowering-/.f32`
4016×	`/-lowering-/.f64`
1592×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	228
1	212	220
2	1415	201
0	8586	201

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1138

Calls

Call 1

Inputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))) s)
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (exp (/ (PI) s)) 1)))) -1)
(* 2 (* (PI) u))
(* (PI) u)
(PI)
(* (neg s) (+ (/ (PI) s) (/ (* -2 (* (PI) u)) s)))
(+ (/ (PI) s) (/ (* -2 (* (PI) u)) s))
(neg s)
(/ (PI) s)
(+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u)))
(* -4 (+ (+ (* -1/4 (* (PI) u)) (* (PI) 1/4)) (* -1/4 (* (PI) u))))
(+ (* -1/4 (* (PI) u)) (* (PI) 1/4))
(* -1/4 (* (PI) u))
(+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u))))
(* (neg s) (+ (* (/ -4 s) (* (PI) -1/4)) (* (/ -4 s) (/ (PI) (/ 2 u)))))
(* (/ -4 s) (/ (PI) (/ 2 u)))
(/ (PI) (neg s))
(exp (/ (PI) s))
(/ (PI) (/ 2 u))

Outputs
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(neg.f32 (*.f32 (neg.f32 s) (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))))
(neg.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (neg.f32 s)))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(+.f32 (.f32 s #s(literal 0 binary32)) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(+.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal 0 binary32)) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(+.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
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simplify1.2s (6.9%)

Algorithm

1×	egg-herbie

Rules

6056×	`-lowering-.f32`
6056×	`-lowering-.f64`
4328×	`+-lowering-+.f64`
4328×	`+-lowering-+.f32`
1502×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	656	13126
1	2247	10266
0	8632	10266

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* -1 (PI))
(+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))))
(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (* -1 (/ s (* u (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2))))) (* 1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))))))) u))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (PI) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (PI) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (PI) s)))))) 1))))
(* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))))) (pow s 2))) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -2 (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))))) (pow s 2))) (+ (* -1/24 (/ (+ (* -1536 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* -24 (+ (* -8 (* (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/24 (pow (PI) 3)) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2))))))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))))) (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))))) (+ (* 2 (* (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (* 1/24 (* u (pow (PI) 3))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI)))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) (pow s 3))) (* 4 (- (* 1/4 (* u (PI))) (+ (* -1/4 (* u (PI))) (* 1/4 (PI))))))))
(* -4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))
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(+ 1 (* 4 (/ (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) s)))
(+ 1 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) s)) (+ (* 4 (/ (- (+ (* -1/24 (* u (pow (PI) 3))) (+ (* 1/16 (* u (pow (PI) 3))) (* 1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (* u (pow (PI) 2))) (* 1/8 (* u (pow (PI) 2)))))) (+ (* -1/16 (* u (pow (PI) 3))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/24 (* u (pow (PI) 3))) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI)))))) s)))) (+ (* -8 (pow (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/4 (* u (PI))) (+ (* -1/4 (PI)) (* 1/4 (* u (PI))))))) s)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* 2 (* u (PI)))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* u (PI))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(* -1 (PI))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(* 2 (* u (PI)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* 2 (* u (PI)))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/ (PI) s)
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(* -2 (/ (* u (PI)) s))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* -2 (/ (* u (PI)) s))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(* 1/4 (PI))
(+ (* -1/2 (* u (PI))) (* 1/4 (PI)))
(+ (* -1/2 (* u (PI))) (* 1/4 (PI)))
(+ (* -1/2 (* u (PI))) (* 1/4 (PI)))
(* -1/2 (* u (PI)))
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))
(* -1/2 (* u (PI)))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))
(* -1 (PI))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(* 2 (* u (PI)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* 2 (* u (PI)))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* 1/4 (PI))
(+ (* -1/4 (* u (PI))) (* 1/4 (PI)))
(+ (* -1/4 (* u (PI))) (* 1/4 (PI)))
(+ (* -1/4 (* u (PI))) (* 1/4 (PI)))
(* -1/4 (* u (PI)))
(* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))
(* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))
(* u (+ (* -1/4 (PI)) (* 1/4 (/ (PI) u))))
(* -1/4 (* u (PI)))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(* -1/4 (* u (PI)))
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/ (PI) s)
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(* -2 (/ (* u (PI)) s))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(* -2 (/ (* u (PI)) s))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(* -1 (PI))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(* 2 (* u (PI)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(* 2 (* u (PI)))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -2 (/ (* u (PI)) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(* -1 (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
1
(+ 1 (/ (PI) s))
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
1
(+ 1 (/ (PI) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))
(* 1/2 (* u (PI)))

Outputs
(* -1 (PI))
(neg.f32 (PI.f32))
(+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))
(-.f32 (/.f32 (.f32 u (.f32 (*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(-.f32 (.f32 u (+.f32 (.f32 (.f32 u (.f32 #s(literal -1/2 binary32) s)) (-.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (/.f32 (PI.f32) s))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s)))))) (/.f32 (.f32 (*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (exp.f32 (/.f32 (PI.f32) s))))) (PI.f32))
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(-.f32 (.f32 u (+.f32 (/.f32 (.f32 (.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (exp.f32 (/.f32 (PI.f32) s))) (.f32 u (+.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (/.f32 (PI.f32) s))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))) (.f32 s #s(literal -1/2 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 s u)) (+.f32 (/.f32 (.f32 (.f32 #s(literal -6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 (/.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 6 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (pow.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 3 binary32))) (/.f32 (.f32 (.f32 #s(literal 6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 5 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))))))) (PI.f32))
(* -1 (* s (log -1)))
(*.f32 s (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))
(-.f32 (/.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s (log.f32 #s(literal -1 binary32))))
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(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(* -1/4 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal -1/4 binary32) u))
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(/ (+ (PI) (* -2 (* u (PI)))) s)
(/.f32 (.f32 (+.f32 (.f32 #s(literal -2 binary32) u) #s(literal 1 binary32)) (PI.f32)) s)
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1 (PI)) (* 2 (* u (PI)))) s))
(/.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32))) (neg.f32 s))
(/ (PI) s)
(/.f32 (PI.f32) s)
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s))
(+ (* -2 (/ (* u (PI)) s)) (/ (PI) s))
(+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s))
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (*.f32 s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (*.f32 s u))))
(* u (+ (* -2 (/ (PI) s)) (/ (PI) (* s u))))
(.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (*.f32 s u))))
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(.f32 (-.f32 (.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (/.f32 (PI.f32) (*.f32 s u))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(.f32 (-.f32 (.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (/.f32 (PI.f32) (*.f32 s u))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (PI) (* s u))) (* 2 (/ (PI) s)))))
(.f32 (-.f32 (.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (/.f32 (PI.f32) (*.f32 s u))) (neg.f32 u))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (+ (PI) (* -2 (* u (PI)))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* -1 (PI))
(neg.f32 (PI.f32))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(* 2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* 2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -2 (/ (* u (PI)) s))
(/.f32 (.f32 (PI.f32) (.f32 #s(literal -2 binary32) u)) s)
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
1
#s(literal 1 binary32)
(+ 1 (/ (PI) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 s s)))
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 s (.f32 s s))))))
1
#s(literal 1 binary32)
(+ 1 (/ (PI) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) s) (.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s)) s))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))
(* 1/2 (* u (PI)))
(.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u))

eval354.0ms (2%)

Compiler: Compiled 57086 to 7727 computations (86.5% saved)

prune481.0ms (2.7%)

Pruning

96 alts after pruning (91 fresh and 5 done)

	Pruned	Kept	Total
New	2207	70	2277
Fresh	11	21	32
Picked	2	3	5
Done	1	2	3
Total	2221	96	2317

Accuracy

98.9%

Counts

2317 → 96

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.5%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 s #s(literal 2 binary32))) u) (.f32 s (.f32 (PI.f32) #s(literal -4 binary32))))) (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))))
	9.5%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))))
	9.2%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s)) (/.f32 s (/.f32 (PI.f32) s)))
	9.7%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32)))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))))
	12.2%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))) (/.f32 (.f32 s (*.f32 (PI.f32) #s(literal -4 binary32))) s))) (/.f32 s (/.f32 u #s(literal 2 binary32))))
	9.7%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 s (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 (PI.f32) s)))
	12.2%	(/.f32 (.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) s) (*.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32)))) (/.f32 s (/.f32 u #s(literal 2 binary32))))
	9.8%	(/.f32 (.f32 (neg.f32 s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32)))) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s))
	9.7%	(/.f32 (.f32 (neg.f32 s) (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s)) (.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
	12.2%	(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
	9.3%	(/.f32 (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))) (*.f32 s s))
	4.9%	(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
	12.2%	(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
	12.2%	(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
	12.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
	9.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s s) (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))))
	1.8%	(-.f32 (/.f32 (.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s u)) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
	12.2%	(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
	12.2%	(-.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (/.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
	12.2%	(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
	12.2%	(+.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) (neg.f32 s))) (.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)) s))))
	12.2%	(+.f32 (.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u))) (neg.f32 s)) (.f32 (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (neg.f32 s)))
	12.2%	(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
	12.2%	(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
	12.2%	(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
	12.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
	12.2%	(.f32 (/.f32 #s(literal -4 binary32) s) (+.f32 (/.f32 s (/.f32 #s(literal -2 binary32) (.f32 u (PI.f32)))) (neg.f32 (.f32 s (.f32 (PI.f32) #s(literal -1/4 binary32))))))
	12.2%	(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
▶	12.0%	(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
▶	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
✓	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
	15.2%	(.f32 (neg.f32 (log.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 s s))) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
	25.5%	(.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
	10.1%	(*.f32 (neg.f32 (log.f32 #s(literal 1 binary32))) s)
	12.2%	(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/4 binary32)) (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) s))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))))))
▶	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s))))
	10.3%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))) (/.f32 (PI.f32) s)) (neg.f32 s)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 s s)) (PI.f32))))
	10.9%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))) (/.f32 (.f32 s (*.f32 (PI.f32) #s(literal -4 binary32))) s)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) s) (*.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32))) (/.f32 s (/.f32 u #s(literal 2 binary32)))))
	11.0%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s)))
	10.9%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s) (.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 s (.f32 (/.f32 s (PI.f32)) (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (/.f32 s (PI.f32)) s)))
	10.7%	(.f32 (neg.f32 s) (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (*.f32 s s)))
	10.9%	(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (.f32 s (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))))))
	10.9%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))))))
	10.3%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 s s)) (PI.f32)) (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))) (/.f32 (PI.f32) s)) (neg.f32 s)))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 s #s(literal 2 binary32))) u) (.f32 s (.f32 (PI.f32) #s(literal -4 binary32)))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) (neg.f32 s)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (+.f32 (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))) (/.f32 (.f32 s (*.f32 (PI.f32) #s(literal -4 binary32))) s)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) s) (*.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32))))))
▶	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (PI.f32)) s) (+.f32 s (.f32 (/.f32 s (PI.f32)) (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (log.f32 (E.f32))) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) u)) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
	12.2%	(.f32 (neg.f32 s) (+.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) (/.f32 #s(literal 1 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
	10.3%	(.f32 (neg.f32 s) (.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (PI.f32) s)))))
	10.5%	(.f32 (neg.f32 s) (.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))))
	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
✓	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
	12.0%	(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) u) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s)))
	10.3%	(.f32 (neg.f32 s) (.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 s s))))
	4.9%	(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (/.f32 u (*.f32 #s(literal 2 binary32) (/.f32 s #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) s))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 s u)))))
▶	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
	11.7%	(.f32 (neg.f32 s) (log1p.f32 (/.f32 (+.f32 (PI.f32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 s s)))) s)))
	13.4%	(.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 u (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))))))
	85.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) #s(literal -1 binary32))))
	38.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	96.9%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
	98.8%	(*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
	12.2%	(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
	12.2%	(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
	8.4%	(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
	4.9%	(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
✓	4.9%	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) u))))
✓	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
	12.2%	(.f32 #s(literal -4 binary32) (+.f32 (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) (.f32 #s(literal 1/4 binary32) (/.f32 (PI.f32) u)))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
✓	12.0%	(neg.f32 (PI.f32))

Compiler

Compiled 4154 to 2723 computations (34.4% saved)

simplify182.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	96	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
✓	cost-diff	128	(+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32)))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32)))))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	128	(/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s))
✓	cost-diff	128	(/.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s)))
✓	cost-diff	128	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s))))
✓	cost-diff	0	(+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	128	(.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u)))
✓	cost-diff	128	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 (PI.f32) s)
✓	cost-diff	0	(neg.f32 (/.f32 (PI.f32) s))
✓	cost-diff	128	(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
✓	cost-diff	0	(neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32))))
✓	cost-diff	0	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)

Rules

4416×	`-lowering-.f32`
4416×	`-lowering-.f64`
2774×	`/-lowering-/.f32`
2774×	`/-lowering-/.f64`
1790×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	463
1	137	452
2	426	446
3	1812	399
0	8181	399

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)
(/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1))))
1
(+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))
(/ u (+ 1 (exp (/ (PI) (neg s)))))
u
(+ 1 (exp (/ (PI) (neg s))))
(exp (/ (PI) (neg s)))
(/ (PI) (neg s))
(PI)
(neg s)
s
(/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1))
(- 1 u)
(+ (pow (E) (/ (PI) s)) 1)
(pow (E) (/ (PI) s))
(E)
(/ (PI) s)
-1
(* (neg (/ (PI) s)) s)
(neg (/ (PI) s))
(/ (PI) s)
(PI)
s
(* (neg s) (* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))))
(neg s)
s
(* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u)))
u
(+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))
(* (/ (PI) s) -2)
(/ (PI) s)
(PI)
-2
(/ (/ (PI) s) u)
(* (neg s) (/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s))))
(neg s)
s
(/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s)))
(+ (/ (* u (* (PI) -2)) (/ (PI) s)) s)
(/ (* u (* (PI) -2)) (/ (PI) s))
(* u (* (PI) -2))
u
(* (PI) -2)
(PI)
-2
(/ (PI) s)
(/ s (/ (PI) s))
(* (neg s) (/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))))
(neg s)
s
(/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))))
1
(/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))
(* (/ s (/ u 2)) s)
(/ s (/ u 2))
(/ u 2)
u
2
(+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))
(* (* (PI) -4) s)
(* (PI) -4)
(PI)
-4
(* (/ s (/ u 2)) (PI))

Outputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))
(neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s))))))
1
#s(literal 1 binary32)
(+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))
(/ u (+ 1 (exp (/ (PI) (neg s)))))
(/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))
u
(+ 1 (exp (/ (PI) (neg s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))
(exp (/ (PI) (neg s)))
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
(/ (PI) (neg s))
(/.f32 (neg.f32 (PI.f32)) s)
(PI)
(PI.f32)
(neg s)
(neg.f32 s)
s
(/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1))
(/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s))))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(+ (pow (E) (/ (PI) s)) 1)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))
(pow (E) (/ (PI) s))
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
(E)
(E.f32)
(/ (PI) s)
(/.f32 (PI.f32) s)
-1
#s(literal -1 binary32)
(* (neg (/ (PI) s)) s)
(neg.f32 (PI.f32))
(neg (/ (PI) s))
(/.f32 (neg.f32 (PI.f32)) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
s
(* (neg s) (* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))))
(neg.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32)))))
(neg s)
(neg.f32 s)
s
(* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32))) (/.f32 s (PI.f32)))
u
(+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))
(+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 u s)))
(* (/ (PI) s) -2)
(/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
-2
#s(literal -2 binary32)
(/ (/ (PI) s) u)
(/.f32 (PI.f32) (*.f32 u s))
(* (neg s) (/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s))))
(neg.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32)))))
(neg s)
(neg.f32 s)
s
(/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32))) (/.f32 s (PI.f32)))
(+ (/ (* u (* (PI) -2)) (/ (PI) s)) s)
(.f32 s (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32))))
(/ (* u (* (PI) -2)) (/ (PI) s))
(.f32 u (.f32 s #s(literal -2 binary32)))
(* u (* (PI) -2))
(.f32 u (.f32 (PI.f32) #s(literal -2 binary32)))
u
(* (PI) -2)
(*.f32 (PI.f32) #s(literal -2 binary32))
(PI)
(PI.f32)
-2
#s(literal -2 binary32)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ s (/ (PI) s))
(/.f32 s (/.f32 (PI.f32) s))
(* (neg s) (/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))))
(/.f32 (.f32 u #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))))))
(neg s)
(neg.f32 s)
s
(/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))))
(.f32 (/.f32 u (.f32 s #s(literal 2 binary32))) (+.f32 (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))))))
(* (/ s (/ u 2)) s)
(*.f32 s (/.f32 s (/.f32 u #s(literal 2 binary32))))
(/ s (/ u 2))
(/.f32 s (/.f32 u #s(literal 2 binary32)))
(/ u 2)
(/.f32 u #s(literal 2 binary32))
u
2
#s(literal 2 binary32)
(+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))
(.f32 (PI.f32) (.f32 s (+.f32 (/.f32 #s(literal 2 binary32) u) #s(literal -4 binary32))))
(* (* (PI) -4) s)
(.f32 s (.f32 (PI.f32) #s(literal -4 binary32)))
(* (PI) -4)
(*.f32 (PI.f32) #s(literal -4 binary32))
(PI)
(PI.f32)
-4
#s(literal -4 binary32)
(* (/ s (/ u 2)) (PI))
(*.f32 (PI.f32) (/.f32 s (/.f32 u #s(literal 2 binary32))))

localize298.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32)))
✓	accuracy	99.0%	(*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))
✓	accuracy	98.9%	(.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s)
✓	accuracy	68.2%	(/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))
✓	accuracy	99.1%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s))))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(.f32 u (.f32 (PI.f32) #s(literal -2 binary32)))
✓	accuracy	62.6%	(/.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s)))
✓	accuracy	99.1%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	98.5%	(+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))
✓	accuracy	89.3%	(.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u)))
✓	accuracy	100.0%	(neg.f32 (/.f32 (PI.f32) s))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
✓	accuracy	99.7%	(pow.f32 (E.f32) (/.f32 (PI.f32) s))
✓	accuracy	99.0%	(/.f32 (PI.f32) (neg.f32 s))
✓	accuracy	99.0%	(/.f32 (PI.f32) s)
✓	accuracy	99.0%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)

Results

214.0ms

256×

valid

Compiler

Compiled 490 to 50 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 33.0ms (32.8% of total)

ival-mult: 20.0ms (19.9% of total)

ival-add: 16.0ms (15.9% of total)

ival-pow: 15.0ms (14.9% of total)

ival-e: 4.0ms (4% of total)

ival-neg: 4.0ms (4% of total)

ival-log: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series210.0ms (1.2%)

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)>
#<alt (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))>
#<alt (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))>
#<alt (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)>
#<alt (* (neg (/ (PI) s)) s)>
#<alt (neg (/ (PI) s))>
#<alt (/ (PI) s)>
#<alt (PI)>
#<alt (* (neg s) (* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))))>
#<alt (* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u)))>
#<alt (neg s)>
#<alt (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))>
#<alt (* (neg s) (/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s))))>
#<alt (/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s)))>
#<alt (/ (* u (* (PI) -2)) (/ (PI) s))>
#<alt (/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))))>
#<alt (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))>
#<alt (* (neg s) (/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))))>
#<alt (/ (PI) (neg s))>
#<alt (pow (E) (/ (PI) s))>
#<alt (* u (* (PI) -2))>
#<alt (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))>
#<alt (* (* (PI) -4) s)>
#<alt (* (/ s (/ u 2)) (PI))>

Outputs
#<alt (* -1 (* (PI) (log (E))))>
#<alt (+ (* -1 (* (PI) (log (E)))) (/ (* s (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))) (exp (/ (* (PI) (log (E))) s))))>
#<alt (+ (* -1 (* (PI) (log (E)))) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))>
#<alt (+ (* -1 (* (PI) (log (E)))) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (exp (/ (* (PI) (log (E))) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))))>
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#<alt (+ 1 (/ (* (PI) (log (E))) s))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s))))>
#<alt 1>
#<alt (+ 1 (/ (* (PI) (log (E))) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1 (/ (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) s)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* -2 (* u (PI)))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))>
#<alt (* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))>
#<alt (* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))>
#<alt (* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))>
#<alt (* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))>
#<alt (/ s (PI))>
#<alt (+ (* 2 (/ (* s u) (PI))) (/ s (PI)))>
#<alt (+ (* u (+ (* 2 (/ s (PI))) (* 4 (/ (* s u) (PI))))) (/ s (PI)))>
#<alt (+ (* u (+ (* 2 (/ s (PI))) (* u (+ (* 4 (/ s (PI))) (* 8 (/ (* s u) (PI))))))) (/ s (PI)))>
#<alt (* -1/2 (/ s (* u (PI))))>
#<alt (/ (+ (* -1/2 (/ s (PI))) (* -1/4 (/ s (* u (PI))))) u)>
#<alt (/ (+ (* -1/2 (/ s (PI))) (+ (* -1/4 (/ s (* u (PI)))) (* -1/8 (/ s (* (pow u 2) (PI)))))) u)>
#<alt (/ (+ (* -1/2 (/ s (PI))) (+ (* -1/4 (/ s (* u (PI)))) (+ (* -1/8 (/ s (* (pow u 2) (PI)))) (* -1/16 (/ s (* (pow u 3) (PI))))))) u)>
#<alt (* -1/2 (/ s (* u (PI))))>
#<alt (* -1 (/ (+ (* 1/4 (/ s (* u (PI)))) (* 1/2 (/ s (PI)))) u))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ s (PI))) (* -1/8 (/ s (* u (PI))))) u)) (* 1/2 (/ s (PI)))) u))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ s (* u (PI)))) (* 1/8 (/ s (PI)))) u)) (* -1/4 (/ s (PI)))) u)) (* 1/2 (/ s (PI)))) u))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* -4 (* s (PI)))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>
#<alt (* 2 (/ (* s (PI)) u))>

Calls

114 calls:

Time	Variable		Point	Expression
121.0ms	s	@	0	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)
9.0ms	s	@	inf	(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))
3.0ms	s	@	-inf	(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))
3.0ms	u	@	0	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)
3.0ms	s	@	-inf	(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)

rewrite281.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3834×	`/-lowering-/.f32`
3834×	`/-lowering-/.f64`
3706×	`-lowering-.f32`
3706×	`-lowering-.f64`
1080×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	304
1	260	280
2	1788	261
0	8579	261

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 992

Calls

Call 1

Inputs
(* (neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))) s)
(neg (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)))
(log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1))
(+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ (pow (E) (/ (PI) s)) 1)))) -1)
(* (neg (/ (PI) s)) s)
(neg (/ (PI) s))
(/ (PI) s)
(PI)
(* (neg s) (* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))))
(* u (+ (* (/ (PI) s) -2) (/ (/ (PI) s) u)))
(neg s)
(+ (* (/ (PI) s) -2) (/ (/ (PI) s) u))
(* (neg s) (/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s))))
(/ (+ (/ (* u (* (PI) -2)) (/ (PI) s)) s) (/ s (/ (PI) s)))
(/ (* u (* (PI) -2)) (/ (PI) s))
(/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))))
(+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI)))
(* (neg s) (/ 1 (/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))))
(/ (PI) (neg s))
(pow (E) (/ (PI) s))
(* u (* (PI) -2))
(/ (* (/ s (/ u 2)) s) (+ (* (* (PI) -4) s) (* (/ s (/ u 2)) (PI))))
(* (* (PI) -4) s)
(* (/ s (/ u 2)) (PI))

Outputs
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(.f32 #s(literal -1 binary32) (.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) (neg.f32 s))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) #s(literal 1 binary32))
(neg.f32 (PI.f32))
(+.f32 #s(literal 0 binary32) (neg.f32 (PI.f32)))
(+.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(-.f32 #s(literal 0 binary32) (PI.f32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (PI.f32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) (PI.f32))) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 s) (PI.f32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (PI.f32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 s (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 (PI.f32)) s)))
(/.f32 s (/.f32 (neg.f32 s) (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) s) (neg.f32 s))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) s)) s)
(/.f32 (*.f32 s (neg.f32 (PI.f32))) s)
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(/.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) s)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 s (neg.f32 (PI.f32)))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(*.f32 s (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (/.f32 (PI.f32) s) (neg.f32 s))
(*.f32 #s(literal -1 binary32) (PI.f32))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) s)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 s (neg.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (.f32 (neg.f32 (PI.f32)) s) (/.f32 #s(literal 1 binary32) s))
(log.f32 (exp.f32 (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (PI.f32) s))
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 s) (PI.f32))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(+.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)))
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(/.f32 (.f32 (/.f32 s u) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal 1/2 binary32))
(/.f32 (.f32 (/.f32 s #s(literal 1/2 binary32)) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) u)
(/.f32 (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32)) (.f32 (/.f32 u #s(literal -2 binary32)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(/.f32 (.f32 (.f32 (neg.f32 s) s) #s(literal -1 binary32)) (.f32 (/.f32 u #s(literal -2 binary32)) (neg.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) (.f32 (/.f32 u #s(literal -2 binary32)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) #s(literal -1 binary32)) (.f32 (/.f32 u #s(literal -2 binary32)) (neg.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (/.f32 (.f32 s s) u) #s(literal 1 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(/.f32 (.f32 (/.f32 (.f32 s s) u) #s(literal -1 binary32)) (.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (.f32 (neg.f32 s) s) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (*.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (*.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (.f32 s s) u) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal 1/2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 s) s)) (.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 u #s(literal -2 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (.f32 s s))) (.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 u #s(literal -2 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 s s) u)) (.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 (neg.f32 s) s)) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u #s(literal -2 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (/.f32 s (/.f32 #s(literal -1 binary32) s))) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u #s(literal -2 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (.f32 s s))) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u #s(literal -2 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 s s) u)) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 s #s(literal 1/2 binary32))) (.f32 (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s) u))
(/.f32 (.f32 s (/.f32 s #s(literal 1/2 binary32))) (.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) u))
(/.f32 (.f32 (neg.f32 s) (/.f32 s u)) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 (neg.f32 s) (/.f32 s #s(literal 1/2 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) u))
(/.f32 (neg.f32 (.f32 (neg.f32 s) s)) (neg.f32 (.f32 (/.f32 u #s(literal -2 binary32)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (/.f32 s (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s))) (/.f32 u #s(literal -2 binary32)))
(/.f32 (neg.f32 (/.f32 (neg.f32 s) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s))) (/.f32 u #s(literal 2 binary32)))
(/.f32 (neg.f32 (/.f32 (.f32 s s) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 u #s(literal -2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(.f32 s (/.f32 s (.f32 (/.f32 u #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal 1 binary32))
(.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) #s(literal -1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))))
(.f32 (.f32 s s) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 u #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(.f32 (.f32 s s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 #s(literal 2 binary32) u))))
(.f32 (/.f32 s u) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s)))
(.f32 (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 s (/.f32 u #s(literal 2 binary32))))
(.f32 (.f32 (neg.f32 s) s) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 u #s(literal -2 binary32)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(.f32 (/.f32 s (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s)) (/.f32 #s(literal 2 binary32) u))
(.f32 (/.f32 (neg.f32 s) (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) u)))
(.f32 (/.f32 (.f32 s s) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 #s(literal 2 binary32) u))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (.f32 s s)) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 s #s(literal -4 binary32))))
(.f32 (PI.f32) (.f32 s #s(literal -4 binary32)))
(.f32 s (.f32 (PI.f32) #s(literal -4 binary32)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s)
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 s #s(literal -4 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 s #s(literal -4 binary32))))
(.f32 (.f32 s #s(literal -4 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) s) #s(literal -4 binary32))
(pow.f32 (/.f32 (/.f32 u #s(literal 2 binary32)) (*.f32 (PI.f32) s)) #s(literal -1 binary32))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 u (*.f32 #s(literal 2 binary32) s))) (/.f32 s (/.f32 u #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u #s(literal 2 binary32)) (*.f32 (PI.f32) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 u #s(literal 2 binary32)) (*.f32 (PI.f32) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (*.f32 #s(literal 2 binary32) s)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u #s(literal -2 binary32)) (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u #s(literal -2 binary32)) (*.f32 (neg.f32 s) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) s) u)))
(/.f32 (PI.f32) (/.f32 u (*.f32 #s(literal 2 binary32) s)))
(/.f32 (PI.f32) (*.f32 (/.f32 u s) #s(literal 1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 u #s(literal 2 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (/.f32 u (*.f32 #s(literal 2 binary32) s))))
(/.f32 (*.f32 (PI.f32) s) (/.f32 u #s(literal 2 binary32)))
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(/.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 u #s(literal -2 binary32)))
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 u #s(literal -2 binary32)))
(/.f32 (/.f32 (*.f32 (PI.f32) s) u) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 (PI.f32) s) #s(literal -1 binary32)) (/.f32 u #s(literal -2 binary32)))
(/.f32 (.f32 (.f32 (PI.f32) s) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 u)))
(/.f32 (.f32 (.f32 (PI.f32) s) #s(literal 2 binary32)) u)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) s))) (/.f32 u #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (PI.f32) (neg.f32 s))) (/.f32 u #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 s) (PI.f32))) (/.f32 u #s(literal 2 binary32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) s) u)) #s(literal -1/2 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) s) (/.f32 u #s(literal 2 binary32))))
(*.f32 (PI.f32) (/.f32 s (/.f32 u #s(literal 2 binary32))))
(.f32 s (.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32)))
(*.f32 s (/.f32 (PI.f32) (/.f32 u #s(literal 2 binary32))))
(*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 u (.f32 #s(literal 2 binary32) s))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u (.f32 #s(literal 2 binary32) s))))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal 2 binary32) u))
(*.f32 (/.f32 s u) (/.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (/.f32 s u) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) s)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) u)))
(*.f32 (/.f32 (PI.f32) (/.f32 u s)) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (PI.f32) (neg.f32 s)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) u)))
(.f32 (.f32 (neg.f32 s) (PI.f32)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) u)))
(.f32 (/.f32 (.f32 (PI.f32) s) u) #s(literal 2 binary32))
(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) s)) u) #s(literal -2 binary32))

simplify441.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4860×	`+-lowering-+.f64`
4860×	`+-lowering-+.f32`
4850×	`-lowering-.f32`
4850×	`-lowering-.f64`
1844×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	20382
1	2854	14152
0	9212	14152

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* -1 (* (PI) (log (E))))
(+ (* -1 (* (PI) (log (E)))) (/ (* s (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))) (exp (/ (* (PI) (log (E))) s))))
(+ (* -1 (* (PI) (log (E)))) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))
(+ (* -1 (* (PI) (log (E)))) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (exp (/ (* (PI) (log (E))) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))
(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))))))
(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (* -1 (/ s (* u (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))))))))
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(exp (/ (* (PI) (log (E))) s))
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(- (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) 1)
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-1
(* -1 (+ 1 (/ 1 (* u (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))))))))
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(- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)
(- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)
(- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)
(- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)
1
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(* -4 (* s (PI)))
(* -4 (* s (PI)))
(* -4 (* s (PI)))
(* -4 (* s (PI)))
(* -4 (* s (PI)))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))
(* 2 (/ (* s (PI)) u))

Outputs
(* -1 (* (PI) (log (E))))
(neg.f32 (PI.f32))
(+ (* -1 (* (PI) (log (E)))) (/ (* s (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))) (exp (/ (* (PI) (log (E))) s))))
(-.f32 (/.f32 (.f32 (.f32 s u) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
(+ (* -1 (* (PI) (log (E)))) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))
(-.f32 (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 s u) (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32)))) (exp.f32 (/.f32 (PI.f32) s))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))) (/.f32 (.f32 s (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (exp.f32 (/.f32 (PI.f32) s))))) (PI.f32))
(+ (* -1 (* (PI) (log (E)))) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)) (exp (/ (* (PI) (log (E))) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (exp (/ (* (PI) (log (E))) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))) (exp (/ (* (PI) (log (E))) s))))))
(-.f32 (.f32 u (+.f32 (/.f32 (.f32 s (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (exp.f32 (/.f32 (PI.f32) s))) (.f32 u (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) s) (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32)))) (exp.f32 (/.f32 (PI.f32) s))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s)))))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 s u) (+.f32 (/.f32 (.f32 #s(literal -6 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 6 binary32)))) (pow.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 5 binary32)))) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s)))))))))))) (PI.f32))
(* -1 (* s (log -1)))
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 #s(literal -1 binary32))))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(-.f32 (/.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s (log.f32 #s(literal -1 binary32))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))))))
(+.f32 (-.f32 (/.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (.f32 s (log.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))))) (*.f32 u u)))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))))))))
(+.f32 (+.f32 (-.f32 (/.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (.f32 s (log.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))))) (.f32 u u))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 s (-.f32 (-.f32 (/.f32 #s(literal 6 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal 6 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))))))) (.f32 u (*.f32 u u))))
(* -1 (* s (log -1)))
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 #s(literal -1 binary32))))
(+ (* -1 (* s (log -1))) (* -1 (/ s (* u (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))))))))
(-.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))
(-.f32 (-.f32 #s(literal 0 binary32) (.f32 s (log.f32 #s(literal -1 binary32)))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))))) u) (/.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) u))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 2))))) (* 1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) 3))))))) u))) u)) (/ s (- (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))))) u)))
(-.f32 (-.f32 #s(literal 0 binary32) (.f32 s (log.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (/.f32 s (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))) (/.f32 (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) s) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 s (-.f32 (/.f32 #s(literal 6 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 3 binary32))) (/.f32 #s(literal 6 binary32) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)))))))) u)) u)) u))
(* -1 (* s (log (- (/ 1 (- (+ (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))) (/ u (+ 1 (exp (* -1 (/ (PI) s)))))) (/ u (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal -1 binary32))) (neg.f32 s))
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(* -1 (log -1))
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(* -1 (log -1))
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(.f32 (.f32 #s(literal -1/2 binary32) u) (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u)))
(* -1/2 (* u (+ (* -4 (PI)) (* 2 (/ (PI) u)))))
(.f32 (.f32 #s(literal -1/2 binary32) u) (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u)))
(* -1/2 (* u (+ (* -4 (PI)) (* 2 (/ (PI) u)))))
(.f32 (.f32 #s(literal -1/2 binary32) u) (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u)))
(* 1/2 (* u (+ (* -2 (/ (PI) u)) (* 4 (PI)))))
(.f32 (.f32 #s(literal 1/2 binary32) u) (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32))))
(* 1/2 (* u (+ (* -2 (/ (PI) u)) (* 4 (PI)))))
(.f32 (.f32 #s(literal 1/2 binary32) u) (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32))))
(* 1/2 (* u (+ (* -2 (/ (PI) u)) (* 4 (PI)))))
(.f32 (.f32 #s(literal 1/2 binary32) u) (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32))))
(* 1/2 (* u (+ (* -2 (/ (PI) u)) (* 4 (PI)))))
(.f32 (.f32 #s(literal 1/2 binary32) u) (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32))))
(* -1 (PI))
(neg.f32 (PI.f32))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(+ (* -1 (PI)) (* 2 (* u (PI))))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(* 2 (* u (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI))))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(* 2 (* u (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 (+.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) (neg.f32 u))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 (+.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) (neg.f32 u))
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u))))
(.f32 (+.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) (neg.f32 u))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(exp (/ (* (PI) (log (E))) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (* (PI) (log (E))) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (* (PI) (log (E))) s))
(exp.f32 (/.f32 (PI.f32) s))
(exp (/ (* (PI) (log (E))) s))
(exp.f32 (/.f32 (PI.f32) s))
1
#s(literal 1 binary32)
(+ 1 (/ (* (PI) (log (E))) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 s s)))
(+ 1 (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s))))
(+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 s s))) (.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (/ (* (PI) (log (E))) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) s)) (PI.f32)) s))
(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1 (/ (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) s) (.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s))) s))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* -2 (* u (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) u))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* 2 (/ s (* u (+ (* -4 (PI)) (* 2 (/ (PI) u))))))
(/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u))))
(* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))
(/.f32 (.f32 #s(literal -2 binary32) s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32)))))
(* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))
(/.f32 (.f32 #s(literal -2 binary32) s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32)))))
(* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))
(/.f32 (.f32 #s(literal -2 binary32) s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32)))))
(* -2 (/ s (* u (+ (* -2 (/ (PI) u)) (* 4 (PI))))))
(/.f32 (.f32 #s(literal -2 binary32) s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) u) (.f32 (PI.f32) #s(literal 4 binary32)))))
(/ s (PI))
(/.f32 s (PI.f32))
(+ (* 2 (/ (* s u) (PI))) (/ s (PI)))
(+.f32 (/.f32 s (PI.f32)) (/.f32 (.f32 #s(literal 2 binary32) (.f32 s u)) (PI.f32)))
(+ (* u (+ (* 2 (/ s (PI))) (* 4 (/ (* s u) (PI))))) (/ s (PI)))
(+.f32 (/.f32 s (PI.f32)) (.f32 u (+.f32 (/.f32 (.f32 #s(literal 2 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal 4 binary32) (.f32 s u)) (PI.f32)))))
(+ (* u (+ (* 2 (/ s (PI))) (* u (+ (* 4 (/ s (PI))) (* 8 (/ (* s u) (PI))))))) (/ s (PI)))
(+.f32 (/.f32 s (PI.f32)) (.f32 u (+.f32 (/.f32 (.f32 #s(literal 2 binary32) s) (PI.f32)) (.f32 u (+.f32 (/.f32 (.f32 #s(literal 4 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal 8 binary32) (.f32 s u)) (PI.f32)))))))
(* -1/2 (/ s (* u (PI))))
(.f32 #s(literal -1/2 binary32) (/.f32 s (.f32 (PI.f32) u)))
(/ (+ (* -1/2 (/ s (PI))) (* -1/4 (/ s (* u (PI))))) u)
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) (.f32 #s(literal -1/4 binary32) (/.f32 s (*.f32 (PI.f32) u)))) u)
(/ (+ (* -1/2 (/ s (PI))) (+ (* -1/4 (/ s (* u (PI)))) (* -1/8 (/ s (* (pow u 2) (PI)))))) u)
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 s (.f32 (PI.f32) u))) (/.f32 (.f32 #s(literal -1/8 binary32) s) (.f32 (PI.f32) (.f32 u u))))) u)
(/ (+ (* -1/2 (/ s (PI))) (+ (* -1/4 (/ s (* u (PI)))) (+ (* -1/8 (/ s (* (pow u 2) (PI)))) (* -1/16 (/ s (* (pow u 3) (PI))))))) u)
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 s (.f32 (PI.f32) u))) (/.f32 (.f32 #s(literal -1/8 binary32) s) (.f32 (PI.f32) (.f32 u u)))) (/.f32 (.f32 #s(literal -1/16 binary32) s) (.f32 (PI.f32) (.f32 u (.f32 u u)))))) u)
(* -1/2 (/ s (* u (PI))))
(.f32 #s(literal -1/2 binary32) (/.f32 s (.f32 (PI.f32) u)))
(* -1 (/ (+ (* 1/4 (/ s (* u (PI)))) (* 1/2 (/ s (PI)))) u))
(/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 (PI.f32) u))) (*.f32 #s(literal 1/2 binary32) (/.f32 s (PI.f32)))) (neg.f32 u))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ s (PI))) (* -1/8 (/ s (* u (PI))))) u)) (* 1/2 (/ s (PI)))) u))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 s (PI.f32))) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 s (PI.f32))) (.f32 #s(literal -1/8 binary32) (/.f32 s (.f32 (PI.f32) u)))) u)) (neg.f32 u))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ s (* u (PI)))) (* 1/8 (/ s (PI)))) u)) (* -1/4 (/ s (PI)))) u)) (* 1/2 (/ s (PI)))) u))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 s (PI.f32))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (/.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/16 binary32) s) (.f32 (PI.f32) u)) (*.f32 #s(literal 1/8 binary32) (/.f32 s (PI.f32)))) u)) u)) (neg.f32 u))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* -4 (* s (PI)))
(.f32 #s(literal -4 binary32) (.f32 (PI.f32) s))
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)
(* 2 (/ (* s (PI)) u))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u)

eval526.0ms (3%)

Compiler: Compiled 66711 to 9124 computations (86.3% saved)

prune556.0ms (3.2%)

Pruning

155 alts after pruning (149 fresh and 6 done)

	Pruned	Kept	Total
New	2254	98	2352
Fresh	35	51	86
Picked	3	2	5
Done	1	4	5
Total	2293	155	2448

Accuracy

98.9%

Counts

2448 → 155

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(/.f32 (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s))))) (/.f32 s (PI.f32))) s)
	12.2%	(/.f32 (/.f32 (neg.f32 s) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s)))))) (/.f32 s (PI.f32)))
	10.7%	(/.f32 (/.f32 s (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
	9.2%	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (neg.f32 s))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
	9.2%	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) s)) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))))
	9.2%	(/.f32 (.f32 (-.f32 (neg.f32 s) (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (/.f32 s (/.f32 (PI.f32) s)))
	9.3%	(/.f32 (.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) (*.f32 (PI.f32) s)) (/.f32 s (/.f32 #s(literal -1 binary32) s)))
	9.2%	(/.f32 (.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) (neg.f32 (PI.f32))) (/.f32 s (/.f32 #s(literal -1 binary32) s)))
	12.0%	(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
	9.5%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 s #s(literal 2 binary32))) u) (.f32 s (.f32 (PI.f32) #s(literal -4 binary32))))) (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))))
	9.5%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))))
	9.7%	(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32)))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))))
	12.2%	(/.f32 (.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) s) (*.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32)))) (/.f32 s (/.f32 u #s(literal 2 binary32))))
	9.7%	(/.f32 (.f32 (neg.f32 s) (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s)) (.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
	12.2%	(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
	9.3%	(/.f32 (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))) (*.f32 s s))
	4.9%	(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
	12.2%	(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
	12.2%	(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
	12.0%	(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
	12.2%	(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
	10.7%	(/.f32 s (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))
	12.2%	(/.f32 s (.f32 (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s))))) (/.f32 (neg.f32 s) (PI.f32))))
	9.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) (.f32 (-.f32 (neg.f32 s) (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) (neg.f32 s))))
	12.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
	10.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 s (/.f32 (*.f32 s s) (/.f32 u #s(literal -2 binary32))))))
	9.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s s) (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))))
	1.8%	(-.f32 (/.f32 (.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s u)) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))
	12.2%	(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
	12.2%	(-.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (/.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
	12.2%	(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
	12.2%	(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
	12.2%	(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
	14.7%	(.f32 (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) s) (/.f32 (PI.f32) s))
	12.2%	(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
	12.2%	(.f32 (/.f32 (neg.f32 s) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))))) (/.f32 (PI.f32) s))
	9.4%	(.f32 (/.f32 u (.f32 (.f32 s s) #s(literal 2 binary32))) (.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (neg.f32 s)))
	10.7%	(.f32 (/.f32 s (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))
	12.2%	(.f32 (/.f32 s (/.f32 s (/.f32 u #s(literal -2 binary32)))) (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s))
	11.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
	11.8%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
	12.0%	(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
	11.8%	(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
	10.3%	(.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) (.f32 (/.f32 (PI.f32) (.f32 s s)) (neg.f32 s)))
	12.0%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
	11.8%	(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
	12.2%	(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
	12.0%	(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
	11.8%	(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
	12.0%	(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
	12.0%	(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
✓	12.0%	(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
	12.0%	(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
	12.0%	(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
	12.0%	(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
	12.0%	(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
	11.6%	(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
✓	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
✓	98.8%	(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
	15.2%	(.f32 (neg.f32 (log.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 s s))) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
	25.5%	(.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
	10.1%	(*.f32 (neg.f32 (log.f32 #s(literal 1 binary32))) s)
	10.7%	(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (.f32 s s)) (/.f32 #s(literal 2 binary32) u)))
	12.2%	(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) s))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) (*.f32 u s))) s) (/.f32 s (/.f32 (PI.f32) s))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 (PI.f32) s))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 u (/.f32 u (/.f32 (PI.f32) s))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32)))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s))) s) (/.f32 s (/.f32 (PI.f32) s))))
	10.3%	(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))) (/.f32 (PI.f32) s)) (neg.f32 s)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 s s)) (PI.f32))))
	10.5%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u s)) (.f32 s (.f32 u (PI.f32)))) (.f32 s (*.f32 u s))))
	10.9%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s) (.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))))
	10.4%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 u s) (.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (/.f32 u (/.f32 (PI.f32) s)) s)))
	10.7%	(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (*.f32 s u)) s) (/.f32 s (/.f32 (PI.f32) s))))
	10.7%	(.f32 (neg.f32 s) (/.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) u) (.f32 (.f32 s s) #s(literal 2 binary32))))
	12.2%	(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
	10.7%	(.f32 (neg.f32 s) (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (*.f32 s s)))
	10.7%	(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))))))
	10.9%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) s)) (/.f32 u #s(literal 2 binary32)))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) s) (*.f32 (/.f32 #s(literal 2 binary32) u) (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 u #s(literal -2 binary32))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u (.f32 #s(literal 2 binary32) s)))))
	10.6%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u (.f32 (*.f32 s s) #s(literal 2 binary32))))))
	10.8%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) s)) u))))
	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (/.f32 (PI.f32) (/.f32 u (*.f32 #s(literal 2 binary32) s)))))))
	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (/.f32 s (/.f32 s (PI.f32))))))))
	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (.f32 (/.f32 (PI.f32) s) s))))))
	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (.f32 (PI.f32) s) (/.f32 #s(literal 2 binary32) u))))))
	11.0%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (.f32 s (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u))))))
	10.8%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal -1 binary32))))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (*.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (PI.f32)) s) (+.f32 s (.f32 (/.f32 s (PI.f32)) (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) s) (.f32 u (+.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
	12.2%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) (/.f32 s (PI.f32)))))
	10.7%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 #s(literal 2 binary32) u))))))
	4.9%	(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
	12.2%	(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
	12.2%	(.f32 (neg.f32 s) (+.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) (/.f32 #s(literal 1 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s)))))) (/.f32 #s(literal -1 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
	12.2%	(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
	10.5%	(.f32 (neg.f32 s) (.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))))
✓	12.2%	(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
	4.9%	(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
	12.2%	(.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (/.f32 u (*.f32 #s(literal 2 binary32) (/.f32 s #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) s))))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 u (/.f32 (PI.f32) s))))))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 s (PI.f32)) (.f32 (/.f32 u (/.f32 (PI.f32) s)) #s(literal -2 binary32))) (.f32 (/.f32 u (/.f32 (PI.f32) s)) (/.f32 s (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 s (PI.f32)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 s (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) (.f32 (/.f32 s (PI.f32)) (/.f32 #s(literal 1 binary32) u))) (.f32 (/.f32 s (PI.f32)) (/.f32 s (PI.f32))))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (/.f32 (PI.f32) u) (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) s) (.f32 s (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (/.f32 (PI.f32) u) (/.f32 s (PI.f32))) (.f32 s #s(literal -2 binary32))) (/.f32 s (/.f32 (PI.f32) s)))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (/.f32 (PI.f32) u) s) (.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 s s))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (/.f32 (PI.f32) s) (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) u) (.f32 u (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (/.f32 (PI.f32) s) (/.f32 s (PI.f32))) (.f32 u #s(literal -2 binary32))) (/.f32 u (/.f32 (PI.f32) s)))))
	10.5%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 u s)) (.f32 (PI.f32) s)) (.f32 s (.f32 u s)))))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (PI.f32) (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 (.f32 u s) #s(literal 1 binary32))) (.f32 (.f32 u s) (/.f32 s (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
	11.8%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (*.f32 u s))))
	10.7%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)) (/.f32 s u)) (/.f32 s (/.f32 (PI.f32) s)))))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (.f32 u s)) (.f32 (/.f32 s (PI.f32)) (PI.f32))) (.f32 (/.f32 s (PI.f32)) (*.f32 u s)))))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) (/.f32 s (/.f32 (PI.f32) (.f32 u s))))))
	4.9%	(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
	10.4%	(.f32 (neg.f32 s) (.f32 u (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u (/.f32 (PI.f32) s)) s) (+.f32 s (.f32 (/.f32 u (/.f32 (PI.f32) s)) (*.f32 (PI.f32) #s(literal -2 binary32))))))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (PI.f32) (*.f32 u s)) (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) s)) s) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s)) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s))) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s)) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 u (/.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) u)) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (*.f32 (/.f32 (PI.f32) s) u) (/.f32 #s(literal 1 binary32) u)) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s))) u))))
	11.8%	(.f32 (neg.f32 s) (.f32 u (.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))))
	11.7%	(.f32 (neg.f32 s) (log1p.f32 (/.f32 (+.f32 (PI.f32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 s s)))) s)))
	13.4%	(.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 u (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))))))
	85.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) #s(literal -1 binary32))))
	38.1%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
	96.9%	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
	98.8%	(*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
	12.2%	(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
	12.0%	(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
	12.2%	(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
	8.4%	(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
	4.9%	(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
✓	4.9%	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
	12.2%	(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
✓	12.0%	(neg.f32 (PI.f32))

Compiler

Compiled 8319 to 3265 computations (60.8% saved)

regimes264.0ms (1.5%)

Counts

219 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (PI.f32) (*.f32 u s)) (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 s u)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (*.f32 u s))))
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(+.f32 (+.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32))))) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -128 binary32))) (+.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -24 binary32))) (.f32 #s(literal -6 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) (+.f32 (.f32 #s(literal 4 binary32) (-.f32 (+.f32 (.f32 u (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)))) (.f32 (PI.f32) #s(literal 0 binary32))) (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (+.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/24 binary32) (.f32 u #s(literal 1/16 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/16 binary32) (.f32 u #s(literal -1/24 binary32)))))))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 0 binary32)))))))) (*.f32 s s)))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 s u)) (exp.f32 (/.f32 (PI.f32) s))) (PI.f32))

Outputs

(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)

Calls

3 calls:

98.0ms

65.0ms

(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))

62.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`u`
98.8%	1	`s`
98.8%	1	`(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))`

Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes160.0ms (0.9%)

Counts

214 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (PI.f32) (*.f32 u s)) (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 s u)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (*.f32 u s))))
(.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (/.f32 u (*.f32 #s(literal 2 binary32) (/.f32 s #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) s))))
(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (neg.f32 s) (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (*.f32 s s)))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (*.f32 s u)) s) (/.f32 s (/.f32 (PI.f32) s))))
(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))) (*.f32 s s))
(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(-.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (/.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
(.f32 (neg.f32 s) (.f32 u (.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) u))))
(.f32 (neg.f32 s) (.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 s s))))
(.f32 (neg.f32 s) (.f32 (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) u) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s)))
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(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 (log.f32 #s(literal 1 binary32))) s)
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u)) s)))
(.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (log.f32 (E.f32))) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
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(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/4 binary32)) (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal -1 binary32))))))
(+.f32 (+.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32))))) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -128 binary32))) (+.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -24 binary32))) (.f32 #s(literal -6 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) (+.f32 (.f32 #s(literal 4 binary32) (-.f32 (+.f32 (.f32 u (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)))) (.f32 (PI.f32) #s(literal 0 binary32))) (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (+.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/24 binary32) (.f32 u #s(literal 1/16 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/16 binary32) (.f32 u #s(literal -1/24 binary32)))))))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 0 binary32)))))))) (*.f32 s s)))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))

Outputs

(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)

Calls

2 calls:

64.0ms	u
61.0ms	s

Results

Accuracy	Segments	Branch
98.8%	1	`u`
98.8%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes147.0ms (0.8%)

Counts

211 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
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(.f32 (neg.f32 s) (log.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (-.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 s (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 (/.f32 (.f32 (PI.f32) u) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) s)) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 u (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))))))
(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/4 binary32)) (.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) #s(literal -1 binary32))))))
(+.f32 (+.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32))))) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -128 binary32))) (+.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -24 binary32))) (.f32 #s(literal -6 binary32) (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) (+.f32 (.f32 #s(literal 4 binary32) (-.f32 (+.f32 (.f32 u (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)))) (.f32 (PI.f32) #s(literal 0 binary32))) (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (+.f32 (+.f32 (.f32 (PI.f32) #s(literal 0 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/24 binary32) (.f32 u #s(literal 1/16 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/16 binary32) (.f32 u #s(literal -1/24 binary32)))))))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 0 binary32)))))))) (*.f32 s s)))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal -1 binary32))))

Outputs
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))

Calls

2 calls:

59.0ms	s
57.0ms	u

Results

Accuracy	Segments	Branch
96.9%	1	`u`
96.9%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes153.0ms (0.9%)

Counts

201 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (PI.f32) (*.f32 u s)) (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 s u)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (*.f32 u s))))
(.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (/.f32 u (*.f32 #s(literal 2 binary32) (/.f32 s #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) s))))
(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (neg.f32 s) (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (*.f32 s s)))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (*.f32 s u)) s) (/.f32 s (/.f32 (PI.f32) s))))
(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))) (*.f32 s s))
(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(-.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (/.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
(.f32 (neg.f32 s) (.f32 u (.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) u))))
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(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 s #s(literal 2 binary32))) u) (.f32 s (.f32 (PI.f32) #s(literal -4 binary32)))))))
(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (.f32 s (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 u s) (.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (/.f32 u (/.f32 (PI.f32) s)) s)))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s)))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s))) s) (/.f32 s (/.f32 (PI.f32) s))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32)))))))
(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 s (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 (PI.f32) s)))
(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32)))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) (neg.f32 s)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (PI.f32) (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 (.f32 u s) #s(literal 1 binary32))) (.f32 (.f32 u s) (/.f32 s (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 s (PI.f32)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 u (/.f32 (PI.f32) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (*.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (.f32 (/.f32 (PI.f32) s) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (/.f32 s (/.f32 s (PI.f32))))))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) (/.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) #s(literal 1/2 binary32)) s)) s))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) s)) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (neg.f32 s))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 (log.f32 #s(literal 1 binary32))) s)
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u)) s)))
(.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (log.f32 (E.f32))) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))
(.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) u))))
(.f32 (neg.f32 s) (log1p.f32 (/.f32 (+.f32 (PI.f32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32))) s) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 s s)))) s)))
(.f32 (neg.f32 (log.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -8 binary32))) #s(literal 0 binary32)) (.f32 s s))) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
(.f32 (neg.f32 s) (log.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (-.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 s (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 (/.f32 (.f32 (PI.f32) u) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) s)) #s(literal -1 binary32))))
(.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))) (.f32 s s))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 u (.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 1/2 binary32) (+.f32 u (-.f32 #s(literal 1 binary32) u))))))))))
(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))

Outputs

(*.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)

Calls

2 calls:

63.0ms	u
63.0ms	s

Results

Accuracy	Segments	Branch
25.5%	1	`u`
25.5%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes175.0ms (1%)

Counts

194 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
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(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)) s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32))))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s)) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 s (/.f32 (*.f32 s s) (/.f32 u #s(literal -2 binary32))))))
(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u (/.f32 (PI.f32) s)) s) (+.f32 s (.f32 (/.f32 u (/.f32 (PI.f32) s)) (*.f32 (PI.f32) #s(literal -2 binary32))))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) (.f32 (/.f32 s (PI.f32)) (/.f32 #s(literal 1 binary32) u))) (.f32 (/.f32 s (PI.f32)) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 s (PI.f32)) (.f32 (/.f32 u (/.f32 (PI.f32) s)) #s(literal -2 binary32))) (.f32 (/.f32 u (/.f32 (PI.f32) s)) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 #s(literal 2 binary32) u))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (.f32 (PI.f32) s) (/.f32 #s(literal 2 binary32) u))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (/.f32 (PI.f32) (/.f32 u (*.f32 #s(literal 2 binary32) s)))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))) (/.f32 u (.f32 (*.f32 s s) #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (.f32 (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))) (/.f32 u #s(literal -2 binary32))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal 2 binary32))) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 s #s(literal 2 binary32))) u) (.f32 s (.f32 (PI.f32) #s(literal -4 binary32)))))))
(.f32 (neg.f32 s) (/.f32 (neg.f32 (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (neg.f32 s))) (.f32 s (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 u s) (.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (/.f32 u (/.f32 (PI.f32) s)) s)))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s)))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (*.f32 (PI.f32) #s(literal -2 binary32))) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) s) (/.f32 #s(literal 1 binary32) s))) s) (/.f32 s (/.f32 (PI.f32) s))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (/.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) s)) s) (/.f32 s (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32)))))))
(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 s (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 (PI.f32) s)))
(/.f32 (.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32)))) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 2 binary32) (.f32 u (PI.f32)))) (+.f32 (/.f32 (.f32 (PI.f32) s) (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) (neg.f32 s)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 (PI.f32) (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 (.f32 u s) #s(literal 1 binary32))) (.f32 (.f32 u s) (/.f32 s (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 s (PI.f32)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s (PI.f32)) (.f32 (PI.f32) (/.f32 (.f32 u #s(literal -2 binary32)) s))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u) (/.f32 s (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (/.f32 u (/.f32 (PI.f32) s)) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (.f32 (/.f32 s (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 u (/.f32 (PI.f32) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 #s(literal -1 binary32) s)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (*.f32 (/.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (.f32 (/.f32 (PI.f32) s) s))))))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) s) (+.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) s) (*.f32 (/.f32 s (/.f32 u #s(literal 2 binary32))) (/.f32 s (/.f32 s (PI.f32))))))))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) (/.f32 (.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -16 binary32))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal 16 binary32)))) #s(literal 1/2 binary32)) s)) s))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) s)) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (neg.f32 s))) (.f32 (/.f32 s (.f32 (/.f32 u (.f32 #s(literal 2 binary32) s)) (.f32 (PI.f32) (+.f32 (.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))) (/.f32 (/.f32 (.f32 s s) (/.f32 u #s(literal -2 binary32))) (.f32 (PI.f32) (+.f32 (*.f32 s #s(literal -4 binary32)) (/.f32 s (/.f32 u #s(literal 2 binary32))))))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 (log.f32 #s(literal 1 binary32))) s)
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u)) s)))
(.f32 (neg.f32 s) (+.f32 (/.f32 (.f32 (PI.f32) (log.f32 (E.f32))) s) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 #s(literal 4 binary32) (.f32 (*.f32 s u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) #s(literal -1/2 binary32))))
(.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal -4 binary32) s) (.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 (/.f32 #s(literal -4 binary32) s) (/.f32 (PI.f32) (/.f32 #s(literal 2 binary32) u)))))

Outputs
(.f32 (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) s) (/.f32 (PI.f32) s))

Calls

2 calls:

101.0ms	u
56.0ms	s

Results

Accuracy	Segments	Branch
14.7%	1	`u`
14.7%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes96.0ms (0.6%)

Counts

81 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 s) (/.f32 s (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32))))
(/.f32 (neg.f32 (PI.f32)) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) #s(literal -4 binary32)) (neg.f32 s)) s)
(.f32 #s(literal -4 binary32) (+.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -1/4 binary32)) #s(literal 1/4 binary32))) (.f32 (PI.f32) (*.f32 u #s(literal -1/4 binary32)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u s)) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 #s(literal 4 binary32) (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) s)
(-.f32 (/.f32 (.f32 s (.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) s) (/.f32 s (/.f32 s (PI.f32))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (/.f32 (PI.f32) s) u))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (PI.f32) (*.f32 u s)) (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -2 binary32)) s) (/.f32 (PI.f32) (.f32 s u)))))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (*.f32 u s))))
(.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (/.f32 u (*.f32 #s(literal 2 binary32) (/.f32 s #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) s))))
(.f32 (neg.f32 s) (.f32 (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (neg.f32 s) (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (*.f32 s s)))
(.f32 (neg.f32 s) (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (*.f32 s u)) s) (/.f32 s (/.f32 (PI.f32) s))))
(.f32 (neg.f32 s) (/.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) s))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s #s(literal -4 binary32)) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))))
(/.f32 (.f32 (neg.f32 s) (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))) (*.f32 s s))
(.f32 #s(literal -4 binary32) (+.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u)) (.f32 (PI.f32) #s(literal 1/4 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) u))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(-.f32 (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (/.f32 s (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 s (PI.f32))) u)))
(.f32 (neg.f32 s) (.f32 u (.f32 (+.f32 (.f32 u (.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))))
(.f32 (neg.f32 s) (.f32 u (+.f32 (.f32 (/.f32 (PI.f32) s) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) u))))
(.f32 (neg.f32 s) (.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 s s))))
(.f32 (neg.f32 s) (.f32 (.f32 u (+.f32 (/.f32 (.f32 (PI.f32) #s(literal -1/4 binary32)) u) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 (.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s) (/.f32 #s(literal 1 binary32) s)))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u)) s)))
(.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) (.f32 (/.f32 (PI.f32) (.f32 s s)) (neg.f32 s)))
(.f32 (/.f32 #s(literal -4 binary32) s) (+.f32 (/.f32 s (/.f32 #s(literal -2 binary32) (.f32 u (PI.f32)))) (neg.f32 (.f32 s (.f32 (PI.f32) #s(literal -1/4 binary32))))))
(.f32 (/.f32 (neg.f32 s) (/.f32 s (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))))) (/.f32 (PI.f32) s))

Outputs
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))

Calls

2 calls:

68.0ms	u
24.0ms	s

Results

Accuracy	Segments	Branch
12.2%	1	`u`
12.2%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

48 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (.f32 (PI.f32) (/.f32 (*.f32 u #s(literal -2 binary32)) s))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (neg.f32 s) (/.f32 (.f32 u (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u))) s))
(.f32 (.f32 u (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) (neg.f32 s))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (neg.f32 (*.f32 (/.f32 #s(literal -4 binary32) s) s)))
(.f32 (.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)))) u)
(.f32 (/.f32 #s(literal -4 binary32) s) (neg.f32 (.f32 s (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 s (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) s)))) s) (neg.f32 (PI.f32)))

Outputs
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))

Calls

2 calls:

16.0ms	u
13.0ms	s

Results

Accuracy	Segments	Branch
12.2%	1	`u`
12.2%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(/.f32 (.f32 (neg.f32 s) (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))) s)
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) u))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32)))) (/.f32 s #s(literal 4 binary32))) s)
(+.f32 (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1/4 binary32) u) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (.f32 u (PI.f32)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) u)) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal -4 binary32) (/.f32 s (PI.f32))) (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32))))
(.f32 (neg.f32 s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32)))))

Outputs
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))

Calls

2 calls:

13.0ms	s
11.0ms	u

Results

Accuracy	Segments	Branch
12.2%	1	`u`
12.2%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 (.f32 u #s(literal 2 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 (PI.f32) s) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (PI.f32)) s)
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32))) s)
(-.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u)) (PI.f32))
(/.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) u))
(.f32 u (-.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) u)))
(.f32 (neg.f32 s) (.f32 u (/.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) s)))
(.f32 (neg.f32 s) (.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (/.f32 #s(literal -4 binary32) s)))
(*.f32 (neg.f32 (/.f32 u (/.f32 u (/.f32 (PI.f32) s)))) s)
(.f32 (neg.f32 (/.f32 (.f32 u (PI.f32)) (*.f32 u s))) s)
(.f32 (neg.f32 (/.f32 (.f32 (/.f32 (PI.f32) s) u) u)) s)
(.f32 #s(literal 4 binary32) (+.f32 (.f32 (.f32 (PI.f32) u) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal -1/4 binary32))))
(neg.f32 (+.f32 (.f32 s (.f32 u (/.f32 #s(literal -2 binary32) (/.f32 s (PI.f32))))) (PI.f32)))
(.f32 (neg.f32 s) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) u)) (/.f32 #s(literal -4 binary32) s)))
(.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 s (*.f32 (PI.f32) u)))))
(.f32 (neg.f32 (.f32 (.f32 u (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 u s)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u (.f32 (/.f32 (PI.f32) s) u)))) s)
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u s) (*.f32 u (PI.f32))))) s)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (/.f32 (PI.f32) s)) u))) s)

Outputs
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))

Calls

2 calls:

10.0ms	u
8.0ms	s

Results

Accuracy	Segments	Branch
12.2%	1	`s`
12.2%	1	`u`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 (/.f32 (PI.f32) s)) s)
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) s) s)
(.f32 (PI.f32) (.f32 (/.f32 #s(literal -1 binary32) s) s))

Outputs
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))

Calls

2 calls:

6.0ms	u
3.0ms	s

Results

Accuracy	Segments	Branch
12.0%	1	`u`
12.0%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -2.3b remaining (-8.3%)

Threshold costs -2.3b (-8.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f32 (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u))

Outputs
(neg.f32 (PI.f32))

Calls

2 calls:

2.0ms	s
1.0ms	u

Results

Accuracy	Segments	Branch
12.0%	1	`u`
12.0%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

128×	`*-commutative_binary32`
100×	`+-commutative_binary32`
72×	`neg-mul-1_binary32`
72×	`sub-neg_binary32`
70×	`neg-sub0_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	79	164
1	153	164
2	219	164
3	291	164
4	343	163
5	383	162
6	410	162
7	422	162
8	427	162
9	428	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
(.f32 (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(neg.f32 (PI.f32))

Outputs
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (E.f32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s)
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) u)))))
(.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) u)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s)))) s)
(.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u #s(literal 1/2 binary32))) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal -4 binary32)) s))))
(.f32 (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) s))))) s) (/.f32 (PI.f32) s))
(.f32 (/.f32 (PI.f32) s) (/.f32 (.f32 (neg.f32 s) (+.f32 s (.f32 u (.f32 s #s(literal -2 binary32))))) s))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (+.f32 (.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s)))
(/.f32 s (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (-.f32 #s(literal -1 binary32) (.f32 u #s(literal -2 binary32)))) s)))
(.f32 (neg.f32 s) (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 (/.f32 u #s(literal 2 binary32)) #s(literal -1/4 binary32)) #s(literal -1/4 binary32))))
(.f32 s (.f32 (/.f32 (PI.f32) s) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 u #s(literal 2 binary32))) (neg.f32 #s(literal -1/4 binary32)))))
(.f32 (/.f32 (.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))) s) (neg.f32 s))
(.f32 s (/.f32 (.f32 (PI.f32) (-.f32 #s(literal -1 binary32) (*.f32 u #s(literal -2 binary32)))) s))
(.f32 (PI.f32) (+.f32 (.f32 #s(literal 2 binary32) u) #s(literal -1 binary32)))
(.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (.f32 u #s(literal 2 binary32))))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(-.f32 #s(literal 0 binary32) (*.f32 s (/.f32 (PI.f32) s)))
(neg.f32 (PI.f32))

soundness3.2s (18%)

Rules

6056×	`-lowering-.f32`
6056×	`-lowering-.f64`
5014×	`-lowering-.f32`
5014×	`-lowering-.f64`
4810×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	487	7151
1	1591	5406
2	7168	5220
0	8008	5220
0	60	309
1	259	294
2	1472	286
0	9011	286
0	21	69
1	90	69
2	503	69
3	3967	69
0	8363	69
0	656	13126
1	2247	10266
0	8632	10266
0	45	228
1	212	220
2	1415	201
0	8586	201
0	1501	22695
1	5251	18014
0	9180	18014
0	21	32
1	44	32
2	76	32
3	149	29
4	250	28
5	464	27
6	856	27
7	1490	27
8	3326	27
9	4869	27
10	5520	27
11	5677	27
12	5734	27
13	5774	27
14	5789	27
15	5801	27
0	5801	27
0	49	304
1	260	280
2	1788	261
0	8579	261

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 387 to 241 computations (37.7% saved)

preprocess65.0ms (0.4%)

Compiler: Compiled 408 to 192 computations (52.9% saved)

Iter	Nodes	Cost
0	79	164
1	153	164
2	219	164
3	291	164
4	343	163
5	383	162
6	410	162
7	422	162
8	427	162
9	428	162

Iter	Nodes	Cost
0	79	164
1	153	164
2	219	164
3	291	164
4	343	163
5	383	162
6	410	162
7	422	162
8	427	162
9	428	162

analyze301.0ms (1.7%)

sample2.6s (14.7%)

preprocess218.0ms (1.2%)

explain367.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify129.0ms (0.7%)

localize111.0ms (0.6%)

series116.0ms (0.7%)

rewrite270.0ms (1.5%)

simplify352.0ms (2%)

eval66.0ms (0.4%)

prune79.0ms (0.4%)

simplify215.0ms (1.2%)

localize569.0ms (3.3%)

series242.0ms (1.4%)

rewrite462.0ms (2.6%)

simplify672.0ms (3.8%)

eval466.0ms (2.7%)

prune359.0ms (2.1%)

simplify206.0ms (1.2%)

localize300.0ms (1.7%)

series131.0ms (0.8%)

rewrite434.0ms (2.5%)

simplify1.2s (6.9%)

eval354.0ms (2%)

prune481.0ms (2.7%)

simplify182.0ms (1%)

localize298.0ms (1.7%)

series210.0ms (1.2%)

rewrite281.0ms (1.6%)

simplify441.0ms (2.5%)

eval526.0ms (3%)

prune556.0ms (3.2%)

regimes264.0ms (1.5%)

regimes160.0ms (0.9%)

regimes147.0ms (0.8%)

regimes153.0ms (0.9%)

regimes175.0ms (1%)

regimes96.0ms (0.6%)

regimes32.0ms (0.2%)

regimes25.0ms (0.1%)

regimes20.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify24.0ms (0.1%)

soundness3.2s (18%)

preprocess65.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	79	164
1	153	164
2	219	164
3	291	164
4	343	163
5	383	162
6	410	162
7	422	162
8	427	162
9	428	162