Sample trimmed logistic on [-pi, pi]

Time bar (total: 19.5s)

analyze136.0ms (0.7%)

Memory
6.2MiB live, 242.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 53 to 32 computations (39.6% saved)

sample2.3s (11.8%)

Memory
45.5MiB live, 3 479.7MiB allocated
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
const: 311.0ms (19.9% of total)
ival-div: 292.0ms (18.7% of total)
ival-<=: 184.0ms (11.8% of total)
ival-add: 150.0ms (9.6% of total)
ival-mult: 143.0ms (9.2% of total)
ival-exp: 140.0ms (9% of total)
ival-neg: 98.0ms (6.3% of total)
ival-log: 95.0ms (6.1% of total)
ival-sub: 83.0ms (5.3% of total)
ival-pi: 30.0ms (1.9% of total)
ival-and: 23.0ms (1.5% of total)
exact: 8.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess225.0ms (1.2%)

Memory
-9.8MiB live, 145.0MiB allocated
Algorithm
egg-herbie
Rules
788×accelerator-lowering-fma.f32
788×accelerator-lowering-fma.f64
502×unsub-neg
452×sub-neg
436×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
061228
1126222
2282221
3814182
41566170
52543166
63465166
73900166
84097166
94281166
104686166
114723166
124738166
134740166
144740166
02137
14037
27137
313631
420731
532728
647928
769428
896128
9111428
10116928
11118728
12120828
13121628
14121828
0121828
Stop Event
iter limit
saturated
saturated
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 (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))))
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 (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 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 (+ (/ 1 (+ (/ 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 (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (- 1 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 (+ (/ 1 (+ (/ 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 (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (- 1 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 (+ (/ 1 (+ (/ s (+ 1 (exp (/ (PI) (neg u))))) (/ (- 1 s) (+ 1 (exp (/ (PI) u)))))) -1)))

explain433.0ms (2.2%)

Memory
-13.1MiB live, 831.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9796627759933472 5.035445097293184e-25)(-.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))
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))
00-0-(PI.f32)
00-0-(-.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)))))
00-0-s
00-0-(+.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)))))
00-0-(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)))
00-0-(*.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))))
04(0.06624500453472137 0.012157968245446682)0-(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
00-0-(*.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))))))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
00-0-(/.f32 (neg.f32 (PI.f32)) s)
00-0-(neg.f32 (PI.f32))
00-0-#s(literal 1 binary32)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))
00-0-u
04(0.06624500453472137 0.012157968245446682)0-(exp.f32 (/.f32 (PI.f32) s))
00-0-(neg.f32 s)
00-0-(/.f32 (PI.f32) s)
00-0-(/.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))))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))sensitivity42
exp.f32(exp.f32 (/.f32 (PI.f32) s))sensitivity42
Confusion
Predicted +Predicted -
+00
-4252
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-43249
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0252
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
163.0ms512×0valid
Compiler

Compiled 594 to 88 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-neg: 49.0ms (35.6% of total)
ival-add: 41.0ms (29.8% of total)
ival-div: 20.0ms (14.5% of total)
ival-exp: 8.0ms (5.8% of total)
ival-mult: 6.0ms (4.4% of total)
ival-log: 6.0ms (4.4% of total)
ival-sub: 5.0ms (3.6% of total)
ival-pi: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(*.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))))
Compiler

Compiled 39 to 21 computations (46.2% saved)

simplify69.0ms (0.4%)

Memory
19.4MiB live, 101.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 s)
cost-diff0
(*.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))))
cost-diff160
(*.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))))))
cost-diff4000
(+.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)))))
Rules
788×accelerator-lowering-fma.f32
788×accelerator-lowering-fma.f64
376×*-lowering-*.f32
376×*-lowering-*.f64
268×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021256
140256
271256
3136224
4207224
5327209
6479209
7694209
8961209
91114209
101169209
111187209
121208209
131216209
141218209
01218209
Stop Event
iter limit
saturated
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)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(+ 1 (exp (/ (neg (PI)) s)))
(exp (/ (neg (PI)) s))
(/ (neg (PI)) s)
(neg (PI))
(PI)
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
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 (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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (neg.f32 (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(neg.f32 (/.f32 (PI.f32) s))
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (PI) s)))
(+.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)

localize79.0ms (0.4%)

Memory
-4.8MiB live, 199.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
accuracy99.1%
(*.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))))
accuracy98.8%
(/.f32 (neg.f32 (PI.f32)) s)
accuracy98.8%
(/.f32 (PI.f32) s)
Samples
46.0ms256×0valid
Compiler

Compiled 258 to 23 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 15.0ms (43.3% of total)
ival-add: 4.0ms (11.5% of total)
ival-exp: 4.0ms (11.5% of total)
ival-mult: 3.0ms (8.7% of total)
ival-log: 3.0ms (8.7% of total)
ival-sub: 2.0ms (5.8% of total)
ival-neg: 2.0ms (5.8% of total)
ival-pi: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (0.6%)

Memory
6.9MiB live, 312.3MiB allocated
Counts
7 → 120
Calls
Call 1
Inputs
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))>
#<alt (neg s)>
#<alt (/ (PI) s)>
#<alt (/ (neg (PI)) s)>
#<alt (exp (/ (neg (PI)) s))>
Outputs
#<alt (/ 1 (+ 1 (exp (/ (PI) s))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))>
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#<alt (* -1 (PI))>
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#<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)))>
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#<alt (* -1 s)>
#<alt (* -1 s)>
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#<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 (/ (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 (* -1 (/ (PI) s)))>
#<alt (exp (* -1 (/ (PI) s)))>
#<alt (exp (* -1 (/ (PI) s)))>
#<alt (exp (* -1 (/ (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

30 calls:

TimeVariablePointExpression
77.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
13.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
4.0ms
s
@-inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
4.0ms
u
@-inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
3.0ms
u
@inf
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))

rewrite410.0ms (2.1%)

Memory
-20.3MiB live, 774.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 812×accelerator-lowering-fma.f32
4 812×accelerator-lowering-fma.f64
4 760×/-lowering-/.f32
4 760×/-lowering-/.f64
4 370×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021100
1142100
21318100
0858389
Stop Event
iter limit
node limit
Counts
7 → 296
Calls
Call 1
Inputs
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(neg s)
(/ (PI) s)
(/ (neg (PI)) s)
(exp (/ (neg (PI)) s))
Outputs
(exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))
(pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32)))) #s(literal -1 binary32))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 u (+.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)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal -1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.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)))))
(fma.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 (/.f32 u #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))
(fma.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))))
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))))))
(-.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 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32)))))
(/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))))))
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(exp.f32 (*.f32 (log.f32 (/.f32 s (neg.f32 (PI.f32)))) #s(literal -1 binary32)))
(+.f32 (neg.f32 (/.f32 (PI.f32) s)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (PI.f32) s)))
(pow.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (PI.f32) s)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32))
(fma.f32 (neg.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) 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) (pow.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) #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 (cbrt.f32 (PI.f32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (sqrt.f32 (PI.f32)) s) (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) #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 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) (/.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (cbrt.f32 (PI.f32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (PI.f32) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (neg.f32 (PI.f32))))))
(/.f32 (PI.f32) (neg.f32 s))
(/.f32 (PI.f32) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (PI.f32)) s)
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (/.f32 s (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (neg.f32 (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) s)
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 s #s(literal 1 binary32))) (*.f32 s (/.f32 s (PI.f32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32))) (*.f32 s #s(literal 1 binary32))) (*.f32 s (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (PI.f32))) (*.f32 s s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 s))) (*.f32 s (PI.f32))) (*.f32 s (neg.f32 (neg.f32 s))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 (PI.f32)))) (*.f32 s (neg.f32 s)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (neg.f32 (PI.f32)))) (neg.f32 s)) (*.f32 s (/.f32 s (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (/.f32 (PI.f32) #s(literal 1 binary32)))) (*.f32 s s))
(/.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (PI.f32) #s(literal -1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (PI.f32) s)))
(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (PI.f32) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(*.f32 (neg.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) 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) (pow.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (cbrt.f32 (PI.f32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) s) (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) (/.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (cbrt.f32 (PI.f32)) s))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) s))
(*.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s))
(log.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))
(exp.f32 (neg.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) (neg.f32 s)))
(pow.f32 (exp.f32 (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (E.f32) (neg.f32 (/.f32 (PI.f32) s)))
(pow.f32 (exp.f32 (neg.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (PI.f32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (PI.f32) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) #s(literal 1 binary32))

simplify475.0ms (2.4%)

Memory
4.9MiB live, 527.9MiB allocated
Algorithm
egg-herbie
Rules
8 286×accelerator-lowering-fma.f32
8 286×accelerator-lowering-fma.f64
5 526×*-lowering-*.f32
5 526×*-lowering-*.f64
3 166×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04735385
114374295
261513852
087153634
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
1/2
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s)))
(- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s)))
(- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))))))
1/2
(+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) s)))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))
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(* -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))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 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)))) u))) u)))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -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))))) (* 1/6 (/ (* s (- (+ (* 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))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))
(* -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 (/ (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 (* -1 (/ (PI) s)))
(exp (* -1 (/ (PI) s)))
(exp (* -1 (/ (PI) s)))
(exp (* -1 (/ (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 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) u u))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s)))
(fma.f32 (PI.f32) (/.f32 #s(literal -1/4 binary32) s) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 1/2 binary32)))
(- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s)))
(fma.f32 (PI.f32) (/.f32 #s(literal -1/4 binary32) s) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 1/2 binary32)))
(- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))))))
(-.f32 (fma.f32 u (fma.f32 (PI.f32) (/.f32 #s(literal 1/2 binary32) s) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (fma.f32 (PI.f32) (*.f32 #s(literal -1/2 binary32) u) #s(literal 0 binary32))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32)))))) (*.f32 s s)) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) s))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
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(* -1 (* s (log -1)))
(*.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 s))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 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)))) u))) u)))
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(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -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))))) (* 1/6 (/ (* s (- (+ (* 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))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))
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(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 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)
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(* -1 (/ (PI) s))
(/.f32 (PI.f32) (neg.f32 s))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.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 (-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) 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 (fma.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))

eval72.0ms (0.4%)

Memory
26.5MiB live, 179.9MiB allocated
Compiler

Compiled 26 315 to 3 567 computations (86.4% saved)

prune89.0ms (0.5%)

Memory
-25.2MiB live, 200.3MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New49018508
Fresh000
Picked101
Done000
Total49118509
Accuracy
99.2%
Counts
509 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
2.2%
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))) (neg.f32 (PI.f32)))
5.8%
(fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 #s(literal 4 binary32) (fma.f32 u (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))) #s(literal 0 binary32))) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) #s(literal -24 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -128 binary32))))) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 #s(literal 4 binary32) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
9.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
12.1%
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
38.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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))))
99.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32)))))) #s(literal 1 binary32))))
6.6%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
4.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
99.0%
(*.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
37.9%
(*.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) #s(literal 1 binary32))) (/.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))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
97.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
98.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
10.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
11.9%
(neg.f32 (PI.f32))
Compiler

Compiled 2 034 to 826 computations (59.4% saved)

simplify464.0ms (2.4%)

Memory
-1.9MiB live, 554.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
cost-diff0
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))) (neg.f32 (PI.f32)))
cost-diff128
(/.f32 s (exp.f32 (/.f32 (PI.f32) s)))
cost-diff160
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))))
cost-diff512
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32)))
cost-diff1568
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
cost-diff1728
(fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))
cost-diff2016
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))
cost-diff192
(-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))
cost-diff512
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
cost-diff6400
(log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)))
cost-diff0
(PI.f32)
cost-diff0
(neg.f32 (PI.f32))
cost-diff224
(*.f32 (neg.f32 s) #s(literal -1 binary32))
cost-diff512
(*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))
cost-diff640
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))
cost-diff3744
(+.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))
Rules
12 248×accelerator-lowering-fma.f32
12 248×accelerator-lowering-fma.f64
5 412×*-lowering-*.f32
5 412×*-lowering-*.f64
2 486×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0961412
12521245
2884944
34776851
08309809
Stop Event
iter limit
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 (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(+ 1 (exp (/ (neg (PI)) s)))
(exp (/ (neg (PI)) s))
(/ (neg (PI)) s)
(neg (PI))
(PI)
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))
(+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))
(exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(- (* 0 (/ s (PI))) (* (neg s) -1))
(* 0 (/ s (PI)))
0
(/ s (PI))
(* (neg s) -1)
-1
(* (neg s) (/ s (PI)))
(neg (PI))
(PI)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)))
(neg s)
s
(log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1))
(- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)
(/ 1 (/ 1 (+ 1 (exp (/ (PI) s)))))
1
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(PI)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) (/ (+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s)))
(+ (* (PI) 1/4) (* u (* (PI) -1/2)))
(PI)
1/4
(* u (* (PI) -1/2))
u
(* (PI) -1/2)
-1/2
-4
(/ (+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))
(+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))))
-1/6
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))))))
(* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
-24
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)
-8
(+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))
-6
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))
(* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))
16
(+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0)
(+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48))))
(* (* (PI) (PI)) -1/48)
(* (PI) (PI))
-1/48
(* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))
(+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48))
(* (PI) (* (PI) (PI)))
1/48
(* (* (PI) (* (PI) (PI))) 1/48)
4
0
(* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))))
-128
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))
s
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))
(neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
(neg s)
(+ (* (* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2))) (/ s (exp (/ (PI) s)))) (neg (PI)))
(* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2)))
(+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 (exp (/ (PI) (neg s)))))
1
(+ 1 (exp (/ (PI) (neg s))))
(exp (/ (PI) (neg s)))
(/ (PI) (neg s))
(PI)
(neg s)
s
(/ -1 (+ 1 (exp (/ (PI) s))))
-1
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(* u (pow (+ 1 (exp (/ (PI) s))) 2))
u
(pow (+ 1 (exp (/ (PI) s))) 2)
2
(/ s (exp (/ (PI) s)))
(neg (PI))
Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 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 (PI.f32) (neg.f32 s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32))))))))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1))
(log.f32 (+.f32 #s(literal -1 binary32) (/.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)))))))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)
(+.f32 #s(literal -1 binary32) (/.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32))))))
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))))
(/.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(exp (/ (neg (PI)) s))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(/ (neg (PI)) s)
(/.f32 (PI.f32) (neg.f32 s))
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (PI) s)))
(+.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 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))
(exp.f32 (/.f32 (PI.f32) s))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(/.f32 (PI.f32) s)
(- (* 0 (/ s (PI))) (* (neg s) -1))
(neg.f32 s)
(* 0 (/ s (PI)))
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(/ s (PI))
(/.f32 s (PI.f32))
(* (neg s) -1)
s
-1
#s(literal -1 binary32)
(* (neg s) (/ s (PI)))
(/.f32 (*.f32 s (neg.f32 s)) (PI.f32))
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)))
(neg.f32 (PI.f32))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1))
(/.f32 (PI.f32) s)
(- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)
(exp.f32 (/.f32 (PI.f32) s))
(/ 1 (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
1
#s(literal 1 binary32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (PI) s)))
(+.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)
(PI)
(PI.f32)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) (/ (+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s)))
(-.f32 (fma.f32 u (+.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -32 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32))))) (/.f32 #s(literal -1/6 binary32) s)) s))
(+ (* (PI) 1/4) (* u (* (PI) -1/2)))
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))
(PI)
(PI.f32)
1/4
#s(literal 1/4 binary32)
(* u (* (PI) -1/2))
(*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))
u
(* (PI) -1/2)
(*.f32 (PI.f32) #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
-4
#s(literal -4 binary32)
(/ (+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))
(/.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -32 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32)))))) s) s)
(+ (* -1/6 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))))
(*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -32 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32))))) (/.f32 #s(literal -1/6 binary32) s))
-1/6
#s(literal -1/6 binary32)
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))) s)
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -32 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32))))) s)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -32 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32)))))
(* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
(*.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) #s(literal 192 binary32))
-24
#s(literal -24 binary32)
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/4 binary32))) (fma.f32 #s(literal -4 binary32) (*.f32 u (PI.f32)) (+.f32 (PI.f32) (PI.f32))))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)
(fma.f32 (PI.f32) #s(literal -2 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u (PI.f32))))
-8
#s(literal -8 binary32)
(+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) #s(literal -224 binary32) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32)))))
-6
#s(literal -6 binary32)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))
(fma.f32 #s(literal 16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u #s(literal 1/24 binary32)) #s(literal 4 binary32) #s(literal -1/12 binary32))))
(* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal 16 binary32)))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))))
16
#s(literal 16 binary32)
(+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0)
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u #s(literal 1/24 binary32)) #s(literal 4 binary32) #s(literal -1/12 binary32)))
(+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/48 binary32)))
(* (* (PI) (PI)) -1/48)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/48 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
-1/48
#s(literal -1/48 binary32)
(* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))
(*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/24 binary32)))
(+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/24 binary32))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
1/48
#s(literal 1/48 binary32)
(* (* (PI) (* (PI) (PI))) 1/48)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/48 binary32)))
4
#s(literal 4 binary32)
0
#s(literal 0 binary32)
(* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (fma.f32 (PI.f32) #s(literal -32 binary32) (*.f32 (*.f32 u (PI.f32)) #s(literal 64 binary32)))))
-128
#s(literal -128 binary32)
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))))
s
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))
#s(literal 0 binary32)
(neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (fma.f32 #s(literal -4 binary32) (*.f32 u (PI.f32)) (+.f32 (PI.f32) (PI.f32))))
(neg s)
(neg.f32 s)
(+ (* (* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2))) (/ s (exp (/ (PI) s)))) (neg (PI)))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (*.f32 (*.f32 s (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (neg.f32 (PI.f32)))
(* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ 1 (+ 1 (exp (/ (PI) (neg s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))
1
#s(literal 1 binary32)
(+ 1 (exp (/ (PI) (neg s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(exp (/ (PI) (neg s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(/ (PI) (neg s))
(/.f32 (PI.f32) (neg.f32 s))
(PI)
(PI.f32)
(neg s)
(neg.f32 s)
s
(/ -1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
-1
#s(literal -1 binary32)
(+ 1 (exp (/ (PI) s)))
(+.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)
(* u (pow (+ 1 (exp (/ (PI) s))) 2))
(*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))
u
(pow (+ 1 (exp (/ (PI) s))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ s (exp (/ (PI) s)))
(*.f32 s (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(neg (PI))
(neg.f32 (PI.f32))

localize697.0ms (3.6%)

Memory
-4.4MiB live, 905.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(exp.f32 (/.f32 (PI.f32) s))
accuracy99.7%
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
accuracy90.4%
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))) (neg.f32 (PI.f32)))
accuracy23.1%
(PI.f32)
accuracy99.4%
(*.f32 (PI.f32) (PI.f32))
accuracy92.2%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
accuracy83.3%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))
accuracy23.1%
(PI.f32)
accuracy99.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
accuracy99.7%
(exp.f32 (/.f32 (PI.f32) s))
accuracy88.0%
(log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)))
accuracy23.1%
(PI.f32)
accuracy100.0%
(neg.f32 (PI.f32))
accuracy23.1%
(PI.f32)
accuracy99.7%
(exp.f32 (/.f32 (PI.f32) s))
accuracy99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32)))))
accuracy99.7%
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
accuracy23.1%
(PI.f32)
Samples
257.0ms210×0exit
137.0ms29×4valid
24.0ms3valid
9.0ms1valid
2.0ms2valid
Compiler

Compiled 1 867 to 98 computations (94.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-mult: 106.0ms (30.5% of total)
ival-div: 90.0ms (25.9% of total)
ival-exp: 38.0ms (10.9% of total)
ival-log: 30.0ms (8.6% of total)
ival-add: 28.0ms (8.1% of total)
adjust: 23.0ms (6.6% of total)
const: 11.0ms (3.2% of total)
ival-sub: 7.0ms (2% of total)
ival-neg: 5.0ms (1.4% of total)
ival-pow2: 4.0ms (1.2% of total)
exact: 2.0ms (0.6% of total)
ival-pi: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (0.4%)

Memory
28.7MiB live, 67.6MiB allocated
Counts
23 → 264
Calls
Call 1
Inputs
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Outputs
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#<alt 1/2>
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#<alt (/ (PI) s)>
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#<alt 2>
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#<alt 2>
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#<alt 1>
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#<alt 1>
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#<alt 0>
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#<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

66 calls:

TimeVariablePointExpression
37.0ms
s
@-inf
(+ (* (* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2))) (/ s (exp (/ (PI) s)))) (neg (PI)))
4.0ms
s
@inf
(+ (* (* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2))) (/ s (exp (/ (PI) s)))) (neg (PI)))
2.0ms
s
@inf
(* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2)))
1.0ms
s
@-inf
(* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2)))
1.0ms
u
@0
(+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))

rewrite560.0ms (2.9%)

Memory
-28.5MiB live, 608.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 186×accelerator-lowering-fma.f32
5 186×accelerator-lowering-fma.f64
5 012×*-lowering-*.f32
5 012×*-lowering-*.f64
2 428×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084332
1545294
25317294
08995267
Stop Event
iter limit
node limit
Counts
23 → 546
Calls
Call 1
Inputs
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(* 0 (/ s (PI)))
(* (neg s) -1)
(neg (PI))
(PI)
(log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1))
(/ 1 (/ 1 (+ 1 (exp (/ (PI) s)))))
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)))
(- (/ 1 (/ 1 (+ 1 (exp (/ (PI) s))))) 1)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))
(+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))))))
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* -24 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))) (+ (* -6 (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16)) (+ (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u (+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48)))) 4) 0))) (* -128 (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))))))
(+ (* (* (PI) (* (PI) (PI))) 1/48) (* (* (PI) (* (PI) (PI))) 1/48))
(* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2)))
(/ s (exp (/ (PI) s)))
(+ (* (* (+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) (* u (pow (+ 1 (exp (/ (PI) s))) 2))) (/ s (exp (/ (PI) s)))) (neg (PI)))
(+ (/ 1 (+ 1 (exp (/ (PI) (neg s))))) (/ -1 (+ 1 (exp (/ (PI) s)))))
(exp (/ (neg (PI)) s))
(exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))
(exp (/ (PI) s))
(* (PI) (PI))
(exp (/ (PI) (neg s)))
Outputs
(+.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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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)))))))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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))))))) (pow.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)))))) #s(literal 2 binary32))) (+.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))))) (-.f32 (pow.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)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -2 binary32)))) #s(literal -1 binary32))
(fma.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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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)))))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))) #s(literal 1 binary32) (*.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)))))))
(fma.f32 (+.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))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -1/2 binary32)) (*.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)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))) #s(literal 1 binary32)) (*.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)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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 (/.f32 (pow.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)))))) #s(literal 2 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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -2 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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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))))))) (pow.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)))))) #s(literal 2 binary32))) (+.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))))) (-.f32 (pow.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)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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))))))) (pow.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)))))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -2 binary32)) (-.f32 (pow.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)))))) #s(literal 2 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) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))))
(/.f32 (-.f32 (pow.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)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -2 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 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))))))
(/.f32 (neg.f32 (+.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32)))) #s(literal -3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.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))))))) (pow.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)))))) #s(literal 2 binary32)))))
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(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (PI.f32) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)) #s(literal 1 binary32))

simplify641.0ms (3.3%)

Memory
14.8MiB live, 814.3MiB allocated
Algorithm
egg-herbie
Rules
11 190×accelerator-lowering-fma.f32
11 190×accelerator-lowering-fma.f64
9 020×+-lowering-+.f64
9 020×+-lowering-+.f32
4 594×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07918016
126476613
082796225
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
1/2
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s)))
(- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s)))
(- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))))))
1/2
(+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) 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)
0
0
0
0
0
0
0
0
0
0
0
0
s
s
s
s
s
s
s
s
s
s
s
s
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
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(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(+ 1 (exp (/ (PI) s)))
(+ 1 (exp (/ (PI) s)))
(+ 1 (exp (/ (PI) s)))
(+ 1 (exp (/ (PI) s)))
2
(+ 2 (/ (PI) s))
(+ 2 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
2
(+ 2 (/ (PI) s))
(+ 2 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(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)))
0
0
0
0
0
0
0
0
0
0
0
0
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (* -2 (pow (PI) 3)))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))))))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))))))))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* u (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))))))))
(* (pow u 3) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))
(* (pow u 3) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))
(* (pow u 3) (+ (* -128 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -6 (/ (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))) (pow u 2))) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))))
(* (pow u 3) (+ (* -128 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -6 (/ (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))) (pow u 3))) (+ (* -6 (/ (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))) (pow u 2))) (+ (* -2 (/ (pow (PI) 3) (pow u 3))) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (* -12 (pow (PI) 3)))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))))) u))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* -1 (/ (+ (* -128 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (* -6 (+ (* -1/6 (pow (PI) 3)) (* 16 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3))))))) u)))) u))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* -1 (/ (+ (* -128 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (+ (* -6 (+ (* -1/6 (pow (PI) 3)) (* 16 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))))) (* -1 (/ (+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (* -2 (pow (PI) 3))) u)))) u)))) u))))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (* 3 (pow (PI) 3))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))) (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))))))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))) (+ (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))))))))))))))
(+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -6 (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))) (+ (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* u (+ (* -24 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))))))))))))
(* (pow u 3) (+ (* -24 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3)))))
(* (pow u 3) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -24 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (* 192 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u))))))))
(* (pow u 3) (+ (* -128 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -24 (pow (PI) 3)) (+ (* -6 (/ (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))) (pow u 2))) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (+ (* 192 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (* 192 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)))))))))))
(* (pow u 3) (+ (* -128 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (+ (* -128 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -96 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u)) (+ (* -24 (pow (PI) 3)) (+ (* -6 (/ (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))) (pow u 3))) (+ (* -6 (/ (+ (* 1/6 (pow (PI) 3)) (* 16 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))))) (pow u 2))) (+ (* -2 (/ (pow (PI) 3) (pow u 3))) (+ (* 3 (/ (pow (PI) 3) (pow u 3))) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (+ (* 192 (/ (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3))) (pow u 2))) (* 192 (/ (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))) u))))))))))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* 24 (pow (PI) 3))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (+ (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))))) u)) (* 24 (pow (PI) 3)))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (+ (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -1 (/ (+ (* -128 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (+ (* -6 (+ (* -1/6 (pow (PI) 3)) (* 16 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))))) (* 192 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))))) u)) (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))))))) u)) (* 24 (pow (PI) 3)))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (+ (* -1 (/ (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -1 (/ (+ (* -128 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (+ (* -6 (+ (* -1/6 (pow (PI) 3)) (* 16 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))))) (+ (* -1 (/ (+ (* -6 (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))) (+ (* -2 (pow (PI) 3)) (* 3 (pow (PI) 3)))) u)) (* 192 (+ (* 1/32 (pow (PI) 3)) (* 1/16 (pow (PI) 3))))))) u)) (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3))))))) u)) (* 24 (pow (PI) 3)))))))
(* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))
(* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))
(* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))
(* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))
(* 4 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))
(/ (+ (* 4 (* u (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 4 (/ (* u (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) s))) s)
(/ (+ (* 4 (* u (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 4 (/ (* u (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) s)) (/ (* u (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* (+ (* 2 (pow (PI) 2)) (pow (PI) 2)) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (pow s 2)))) s)
(/ (+ (* 4 (* u (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 4 (/ (* u (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) s)) (+ (/ (* u (+ (* 4 (* (PI) (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))) (+ (* 4 (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (* (+ (* 2/3 (pow (PI) 3)) (pow (PI) 3)) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (pow s 3)) (/ (* u (+ (* 4 (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* (+ (* 2 (pow (PI) 2)) (pow (PI) 2)) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (pow s 2))))) s)
(* -4 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))
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(* -1 (/ (- (* -1/4 (PI)) (* 1/4 (PI))) s))
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(exp (* -1 (/ (PI) s)))
(exp (* -1 (/ (PI) s)))
(exp (* -1 (/ (PI) s)))
(exp (* -1 (/ (PI) s)))
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(exp (/ (PI) s))
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(exp (/ (PI) s))
(exp (/ (PI) s))
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(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
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Outputs
(/ 1 (+ 1 (exp (/ (PI) s))))
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(/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s s)) #s(literal 1/48 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))) (-.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/320 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/96 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/96 binary32) #s(literal 0 binary32))) (fma.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))) (fma.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/320 binary32))))))) (neg.f32 s)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (PI.f32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) (*.f32 (PI.f32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))))))) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s s)) #s(literal -1/48 binary32) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (neg.f32 s))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) s)) s)) 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)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) 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) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (/.f32 (PI.f32) 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (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 (/.f32 (fma.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)))) (neg.f32 s)) (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)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) 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) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (/.f32 (PI.f32) 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (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 (/.f32 (fma.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)))) (neg.f32 s)) (PI.f32)) s))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(exp (* -1 (/ (PI) s)))
(exp.f32 (/.f32 (PI.f32) (neg.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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) s)) s)) s))

eval609.0ms (3.1%)

Memory
22.0MiB live, 1 358.8MiB allocated
Compiler

Compiled 319 543 to 17 444 computations (94.5% saved)

prune1.3s (6.5%)

Memory
-25.4MiB live, 2 035.5MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New2 673212 694
Fresh31013
Picked415
Done000
Total2 680322 712
Accuracy
99.3%
Counts
2 712 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 u (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal 16 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
5.8%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))) s) #s(literal 0 binary32)) (neg.f32 s)))
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal 4 binary32))) #s(literal -6 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.4%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -24 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -8 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
5.4%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 u (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal 16 binary32))) (fma.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal 192 binary32)))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
12.1%
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
5.4%
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal -4 binary32) (-.f32 (/.f32 (fma.f32 u (fma.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))) #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (neg.f32 (*.f32 s s))) (PI.f32)))
9.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
38.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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))))
11.9%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
99.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32)))))) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
4.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.3%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
95.0%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
99.0%
(*.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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
86.7%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.9%
(*.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) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
37.9%
(*.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) #s(literal 1 binary32))) (/.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))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
97.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
98.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
14.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
11.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.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)))) (neg.f32 s)) (PI.f32)) s))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
10.3%
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
11.9%
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
11.9%
(neg.f32 (PI.f32))
Compiler

Compiled 3 918 to 1 566 computations (60% saved)

simplify765.0ms (3.9%)

Memory
15.6MiB live, 812.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff352
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32)))
cost-diff512
(*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))
cost-diff640
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))
cost-diff3744
(+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))
cost-diff256
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s))
cost-diff1568
(fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))
cost-diff1568
(fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32)))))
cost-diff2080
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))
cost-diff96
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
cost-diff96
(-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))
cost-diff96
(log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 (PI.f32) s)
cost-diff0
(neg.f32 s)
cost-diff512
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
cost-diff160
(*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))
cost-diff160
(*.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))))))
cost-diff288
(/.f32 (neg.f32 s) (neg.f32 (*.f32 s s)))
cost-diff3808
(+.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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))
Rules
13 566×accelerator-lowering-fma.f32
13 566×accelerator-lowering-fma.f64
3 212×*-lowering-*.f32
3 212×*-lowering-*.f64
2 620×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0991323
12461038
2762850
33424806
46263806
08094754
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI)))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(+ 1 (exp (/ (neg (PI)) s)))
(exp (/ (neg (PI)) s))
(/ (neg (PI)) s)
(neg (PI))
(PI)
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI)))))
(+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))
(pow (E) (* (/ (neg s) (neg (* s s))) (PI)))
(E)
(* (/ (neg s) (neg (* s s))) (PI))
(/ (neg s) (neg (* s s)))
(neg (* s s))
(* s s)
(* (neg s) (/ (PI) s))
(neg s)
s
(/ (PI) s)
(PI)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
(neg s)
s
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
1
(/ 1 (+ 1 (+ 1 (/ (PI) s))))
(+ 1 (+ 1 (/ (PI) s)))
(+ 1 (/ (PI) s))
(/ (PI) s)
(PI)
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) (/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s)))
(+ (* (PI) 1/4) (* u (* (PI) -1/2)))
(PI)
1/4
(* u (* (PI) -1/2))
u
(* (PI) -1/2)
-1/2
-4
(/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))
(+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))))
-1/6
(/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)
(+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24))))
(* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))))
(+ (* u (* (PI) -1/2)) (* (PI) 1/4))
(* (PI) 1/4)
(* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))
-128
(+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))
(* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)
192
(+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24))
-96
(* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)
(+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0))
(* (* (PI) (PI)) -1/48)
(* (PI) (PI))
-1/48
(* u 0)
0
-24
s
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)
-8
(neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))
(neg s)
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))))
1
(+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s))))))
u
(- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 1))
(+ 1 1)
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(PI)
(/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))
(+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))
(exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(- (* 0 (/ s (PI))) (* (neg s) -1))
(* 0 (/ s (PI)))
0
(/ s (PI))
(* (neg s) -1)
-1
(* (neg s) (/ s (PI)))
Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))) 1)))
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(neg s)
(neg.f32 s)
s
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(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))) 1)
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(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))
(fma.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
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u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))
(exp (/ (neg (PI)) s))
(exp.f32 (/.f32 (PI.f32) (neg.f32 s)))
(/ (neg (PI)) s)
(/.f32 (PI.f32) (neg.f32 s))
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
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(+.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 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(pow (E) (* (/ (neg s) (neg (* s s))) (PI)))
(exp.f32 (/.f32 (PI.f32) s))
(E)
(E.f32)
(* (/ (neg s) (neg (* s s))) (PI))
(/.f32 (PI.f32) s)
(/ (neg s) (neg (* s s)))
(/.f32 #s(literal 1 binary32) s)
(neg (* s s))
(*.f32 s (neg.f32 s))
(* s s)
(*.f32 s s)
(* (neg s) (/ (PI) s))
(neg.f32 (PI.f32))
(neg s)
(neg.f32 s)
s
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))
(log1p.f32 (/.f32 (PI.f32) s))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
(+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(/ 1 (+ 1 (+ 1 (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
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(+ 1 (/ (PI) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
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(-.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)) (/.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) #s(literal -32 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1/6 binary32)) (*.f32 s s))) (PI.f32))
(+ (* (PI) 1/4) (* u (* (PI) -1/2)))
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))
(PI)
(PI.f32)
1/4
#s(literal 1/4 binary32)
(* u (* (PI) -1/2))
(*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))
u
(* (PI) -1/2)
(*.f32 (PI.f32) #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
-4
#s(literal -4 binary32)
(/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))
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(+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))))
(*.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) #s(literal -32 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) s))
-1/6
#s(literal -1/6 binary32)
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(/.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) #s(literal -32 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s)
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(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))
(* (PI) 1/4)
(*.f32 (PI.f32) #s(literal 1/4 binary32))
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-128
#s(literal -128 binary32)
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192
#s(literal 192 binary32)
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#s(literal 0 binary32)
0
#s(literal 0 binary32)
-24
#s(literal -24 binary32)
s
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#s(literal 0 binary32)
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#s(literal -8 binary32)
(neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal -4 binary32) (*.f32 u (PI.f32)))))
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (fma.f32 (PI.f32) #s(literal -2 binary32) (*.f32 (*.f32 u (PI.f32)) #s(literal 4 binary32))))
(neg s)
(neg.f32 s)
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/2 binary32) (*.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1))
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/2 binary32) (*.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/2 binary32) (*.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/2 binary32) (*.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(fma.f32 u #s(literal 1/2 binary32) (*.f32 (fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s))))))
(fma.f32 u #s(literal 1/2 binary32) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
u
(- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(/ 1 (+ 1 1))
#s(literal 1/2 binary32)
(+ 1 1)
#s(literal 2 binary32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (PI) s)))
(+.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)
(PI)
(PI.f32)
(/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI)))))
(exp.f32 (/.f32 (PI.f32) s))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(/.f32 (PI.f32) s)
(- (* 0 (/ s (PI))) (* (neg s) -1))
(neg.f32 s)
(* 0 (/ s (PI)))
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(/ s (PI))
(/.f32 s (PI.f32))
(* (neg s) -1)
s
-1
#s(literal -1 binary32)
(* (neg s) (/ s (PI)))
(/.f32 (*.f32 s (neg.f32 s)) (PI.f32))

localize1.7s (8.9%)

Memory
33.5MiB live, 1 699.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.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) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
accuracy99.0%
(/.f32 s (PI.f32))
accuracy98.8%
(/.f32 (PI.f32) s)
accuracy61.4%
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))
accuracy96.9%
(*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy56.7%
(fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32)))))
accuracy7.2%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))
accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
accuracy99.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))
accuracy98.8%
(/.f32 (PI.f32) s)
accuracy100.0%
(neg.f32 s)
accuracy100.0%
(PI.f32)
accuracy98.8%
(/.f32 (PI.f32) s)
accuracy98.8%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
accuracy98.8%
(/.f32 (neg.f32 (PI.f32)) s)
accuracy98.8%
(/.f32 (PI.f32) s)
accuracy98.7%
(*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))
accuracy61.7%
(/.f32 (neg.f32 s) (neg.f32 (*.f32 s s)))
Samples
1.2s212×2valid
251.0ms37×3valid
10.0ms1valid
Compiler

Compiled 1 800 to 99 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 263.0ms (21.8% of total)
ival-mult: 262.0ms (21.7% of total)
adjust: 158.0ms (13.1% of total)
ival-exp: 146.0ms (12.1% of total)
ival-log: 104.0ms (8.6% of total)
ival-pow: 99.0ms (8.2% of total)
ival-add: 58.0ms (4.8% of total)
ival-sub: 43.0ms (3.6% of total)
const: 40.0ms (3.3% of total)
ival-neg: 14.0ms (1.2% of total)
ival-e: 14.0ms (1.2% of total)
ival-pi: 3.0ms (0.2% of total)
exact: 2.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series122.0ms (0.6%)

Memory
1.5MiB live, 275.7MiB allocated
Counts
27 → 348
Calls
Call 1
Inputs
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))>
#<alt (/ (neg s) (neg (* s s)))>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* (/ (neg s) (neg (* s s))) (PI))>
#<alt (* (neg s) (/ (PI) s))>
#<alt (neg s)>
#<alt (/ (PI) s)>
#<alt (PI)>
#<alt (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))>
#<alt (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))>
#<alt (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)>
#<alt (+ 1 (+ 1 (/ (PI) s)))>
#<alt (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))>
#<alt (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24))))>
#<alt (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))>
#<alt (/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))>
#<alt (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))>
#<alt (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))>
#<alt (* 0 (/ s (PI)))>
#<alt (/ 1 (+ 1 1))>
#<alt (/ (neg (PI)) s)>
#<alt (* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))>
#<alt (/ 1 (+ 1 (+ 1 (/ (PI) s))))>
#<alt (* (PI) (PI))>
#<alt (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)>
#<alt (/ s (PI))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))>
Outputs
#<alt (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))>
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))>
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))>
#<alt 1/2>
#<alt (- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (* (PI) (log (E))) s)))>
#<alt (- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (* (PI) (log (E))) s)))>
#<alt (- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (pow s 3))) (+ (* -1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (+ (* -1/16 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/24 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (* 1/4 (/ (* (PI) (log (E))) s))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s)) (+ (* 1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (* (PI) (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* (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)))))))))) s)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (* (PI) (log (E))))) 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 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
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#<alt (* -4 (- (* -1/4 (* u (PI))) (* -1/4 (PI))))>
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#<alt (+ (* -4 (- (* -1/4 (* u (PI))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2))) (+ (* -96 (* (+ (* -8 (* (- (* -1/4 (* u (PI))) (* -1/4 (PI))) (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (* 4 (- (* u (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (+ (* -24 (+ (* -8 (* (- (* -1/4 (* u (PI))) (* -1/4 (PI))) (- (* u (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))) (+ (* -2 (* (+ (* -8 (* (- (* -1/4 (* u (PI))) (* -1/4 (PI))) (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (* 4 (- (* u (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (* 4 (- (* u (+ (* -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))))))))))))) (+ (* -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))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (* -6 (+ (* -8 (* (- (* -1/4 (* u (PI))) (* -1/4 (PI))) (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (- (* -1/4 (* u (PI))) (* -1/4 (PI))))) (* 4 (- (* u (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/4 (* u (PI))) (* -1/4 (PI))) 2)) (* 4 (- (* u (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))) s)))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))>
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#<alt (+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s)))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u)))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))>
Calls

87 calls:

TimeVariablePointExpression
63.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
8.0ms
u
@0
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))
5.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
5.0ms
s
@-inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
4.0ms
s
@0
(/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))

rewrite311.0ms (1.6%)

Memory
7.9MiB live, 757.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 784×*-lowering-*.f32
3 784×*-lowering-*.f64
3 440×accelerator-lowering-fma.f32
3 440×accelerator-lowering-fma.f64
2 194×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092466
1604283
26206283
08027269
Stop Event
iter limit
node limit
Counts
27 → 928
Calls
Call 1
Inputs
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (* (/ (neg s) (neg (* s s))) (PI))))))
(/ (neg s) (neg (* s s)))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* (/ (neg s) (neg (* s s))) (PI))
(* (neg s) (/ (PI) s))
(neg s)
(/ (PI) s)
(PI)
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)
(+ 1 (+ 1 (/ (PI) s)))
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))
(+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24))))
(+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))
(/ (+ (* -1/6 (/ (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -128) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) 192)) (+ (* (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) -96) (* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)))) s)) (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8)) (neg (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -8))))) (neg s))
(+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))
(/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))
(* 0 (/ s (PI)))
(/ 1 (+ 1 1))
(/ (neg (PI)) s)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
(/ 1 (+ 1 (+ 1 (/ (PI) s))))
(* (PI) (PI))
(* (+ (* (PI) (* (* (PI) (PI)) -1/48)) (* u 0)) -24)
(/ s (PI))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 1)) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (- (* 0 (/ s (PI))) (* (neg s) -1)) (* (neg s) (/ s (PI))))))))) 1)))
Outputs
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32)))) #s(literal -1 binary32))
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(-.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32))) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32)))) (neg.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.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 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(*.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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)))))))
(neg.f32 (/.f32 #s(literal -1 binary32) s))
(exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)))
(pow.f32 s #s(literal -1 binary32))
(pow.f32 (/.f32 s #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) s))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (/.f32 #s(literal -1 binary32) s))
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(*.f32 #s(literal -1 binary32) (*.f32 s (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 1/2 binary32) (/.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))))))))))
(*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 1/2 binary32) (/.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)))))))) (neg.f32 s))
(*.f32 (*.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 1/2 binary32) (/.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)) s)

simplify544.0ms (2.8%)

Memory
-13.0MiB live, 1 032.5MiB allocated
Algorithm
egg-herbie
Rules
8 404×accelerator-lowering-fma.f32
8 404×accelerator-lowering-fma.f64
7 700×+-lowering-+.f64
7 700×+-lowering-+.f32
6 198×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010089093
133137226
091256726
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
1/2
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (* (PI) (log (E))) s)))
(- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (* (PI) (log (E))) s)))
(- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (pow s 3))) (+ (* -1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (+ (* -1/16 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/24 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (* 1/4 (/ (* (PI) (log (E))) s))))))))
1/2
(+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s)) (+ (* 1/8 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (* (PI) (log (E))))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* (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)))))))))) s)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (* (PI) (log (E))))) s)))
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
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(/ 1 s)
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(/ 1 s)
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(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
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(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
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(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))
(* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (/ (* u (- (* 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))))))))) (* -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)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 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))))))))) (* -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))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))
(/ (PI) s)
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(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
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(/ (PI) s)
(/ (PI) s)
(/ (PI) s)
(/ (+ (PI) (* 2 s)) s)
(/ (+ (PI) (* 2 s)) s)
(/ (+ (PI) (* 2 s)) s)
2
(+ 2 (/ (PI) s))
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2
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(+ (log (PI)) (* -1 (log s)))
(+ (log (PI)) (+ (* -1 (log s)) (/ s (PI))))
(+ (log (PI)) (+ (* -1 (log s)) (* s (+ (* -1/2 (/ s (pow (PI) 2))) (/ 1 (PI))))))
(+ (log (PI)) (+ (* -1 (log s)) (* s (+ (* s (- (* 1/3 (/ s (pow (PI) 3))) (* 1/2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))))
(/ (PI) s)
(/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)
(/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (* 1/3 (/ (pow (PI) 3) (pow s 2))))) s)
(/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (+ (* -1/4 (/ (pow (PI) 4) (pow s 3))) (* 1/3 (/ (pow (PI) 3) (pow s 2)))))) s)
(/ (PI) s)
(* -1 (/ (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s))) s))
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(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (PI) 3)) (* 1/4 (/ (pow (PI) 4) s))) s)) (* -1/2 (pow (PI) 2))) s))) s))
(/ (PI) s)
(/ (+ s (PI)) s)
(/ (+ s (PI)) s)
(/ (+ s (PI)) s)
1
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1
(+ 1 (/ (PI) s))
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(/ (+ (PI) (* 2 s)) s)
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2
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2
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0
0
0
0
0
0
0
0
0
0
0
0
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (* 3 (pow (PI) 3)))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -96 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))))))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -96 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))))))))))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -128 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* -96 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (+ (* 192 (+ (* -1/16 (pow (PI) 3)) (* -1/32 (pow (PI) 3)))) (* u (+ (* -128 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* -96 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (+ (* 192 (+ (* 1/16 (pow (PI) 3)) (* 1/8 (pow (PI) 3)))) (* u (+ (* -24 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3)))))))))))))))))
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(fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 s u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (neg.f32 (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))) (/.f32 (*.f32 s (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (exp.f32 (/.f32 (PI.f32) s)))) (neg.f32 (PI.f32)))
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(fma.f32 u (fma.f32 s (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 s (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))) (neg.f32 (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s u) (fma.f32 #s(literal -6 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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))) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.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))))))))))) (neg.f32 (PI.f32)))
(* -1 (* s (log -1)))
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32)))
(+ (* -1 (* s (log -1))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s)))))))))
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (*.f32 u u)) (/.f32 s (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))))
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (-.f32 (-.f32 (/.f32 #s(literal 6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.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))) (/.f32 s (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))
(* -1 (* s (log -1)))
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32)))
(+ (* -1 (* s (log -1))) (/ s (* u (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))))
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u)))
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) u) (/.f32 (neg.f32 s) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) u)))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- 1/2 (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (neg.f32 s) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (+.f32 (/.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 #s(literal 1/2 binary32) (/.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 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))))))) u) (*.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 #s(literal 1/2 binary32) (/.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 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))))) u)) u)))

eval933.0ms (4.8%)

Memory
-161.8MiB live, 1 146.8MiB allocated
Compiler

Compiled 239 095 to 17 297 computations (92.8% saved)

prune735.0ms (3.8%)

Memory
-2.8MiB live, 1 235.7MiB allocated
Pruning

73 alts after pruning (71 fresh and 2 done)

PrunedKeptTotal
New2 925582 983
Fresh131326
Picked415
Done011
Total2 942733 015
Accuracy
99.3%
Counts
3 015 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal 96 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s)))
5.9%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -96 binary32))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 192 binary32)))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.5%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 u (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal 96 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.3%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -24 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -8 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.4%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 u (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal -32 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
5.9%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) #s(literal -224 binary32) (fma.f32 #s(literal 192 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 s s)))
4.3%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
6.8%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
12.1%
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
9.1%
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
11.9%
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
11.9%
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
38.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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))))
12.5%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
14.5%
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
21.4%
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
8.8%
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
12.5%
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
12.5%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (neg.f32 (*.f32 s (*.f32 s s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
25.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
98.8%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
14.5%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
21.4%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
61.1%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
7.9%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
11.6%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
37.0%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
11.9%
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
11.9%
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
6.2%
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
8.4%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
7.9%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
10.4%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
7.8%
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
6.3%
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
11.9%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
10.4%
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
11.9%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
9.9%
(*.f32 (neg.f32 s) (-.f32 (log.f32 (fma.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (fma.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))))
25.1%
(*.f32 (neg.f32 s) (-.f32 (log.f32 (PI.f32)) (log.f32 s)))
11.9%
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
9.9%
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
25.1%
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32))))
7.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32)) (log.f32 (exp.f32 (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
15.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (neg.f32 s) (/.f32 (PI.f32) (*.f32 s (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
99.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))) #s(literal 1 binary32))))
8.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))))) #s(literal 1 binary32))))
17.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))))) #s(literal 1 binary32))))
11.5%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))))) #s(literal 1 binary32))))
8.5%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))))) #s(literal 1 binary32))))
17.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.3%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
95.0%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
99.0%
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
86.7%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.9%
(*.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) #s(literal 1 binary32))) (/.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 (/.f32 (*.f32 s s) (PI.f32)))))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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))))
97.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
36.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
98.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
14.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
11.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.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)))) (neg.f32 s)) (PI.f32)) s))))
11.9%
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
11.9%
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
11.9%
(neg.f32 (PI.f32))
Compiler

Compiled 5 064 to 2 544 computations (49.8% saved)

simplify174.0ms (0.9%)

Memory
33.4MiB live, 303.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff96
(+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))
cost-diff832
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32))))
cost-diff2912
(pow.f32 (neg.f32 s) #s(literal 3 binary32))
cost-diff96
(-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32))
cost-diff96
(log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32)))
cost-diff512
(/.f32 s (/.f32 (*.f32 s s) (PI.f32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32)))))))
cost-diff0
(neg.f32 (*.f32 s (*.f32 s s)))
cost-diff0
(neg.f32 s)
cost-diff512
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
cost-diff1280
(/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s)))
cost-diff0
(fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32)))
cost-diff256
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
cost-diff0
(neg.f32 s)
cost-diff0
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
cost-diff32
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
cost-diff160
(*.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))))))
Rules
6 478×accelerator-lowering-fma.f32
6 478×accelerator-lowering-fma.f64
2 190×*-lowering-*.f32
2 190×*-lowering-*.f64
1 626×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062547
1158545
2544471
33994450
46936450
08074440
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(+ 1 (exp (/ (neg (PI)) s)))
(exp (/ (neg (PI)) s))
(/ (neg (PI)) s)
(neg (PI))
(PI)
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(/ 1 (+ 1 (pow (E) (/ (PI) s))))
(+ 1 (pow (E) (/ (PI) s)))
(pow (E) (/ (PI) s))
(E)
(* (* (PI) (+ (* -1/4 u) 1/4)) -4)
(* (PI) (+ (* -1/4 u) 1/4))
(PI)
(+ (* -1/4 u) 1/4)
-1/4
u
1/4
-4
(* (neg s) (/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s))))
(neg s)
s
(/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s)))
(neg (* s (* s s)))
(* s (* s s))
(* s s)
(* (neg (/ (* s s) (PI))) (* s s))
(neg (/ (* s s) (PI)))
(/ (* s s) (PI))
(PI)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)))
(neg s)
s
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)
(/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI)))))))
1
(/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))
(+ 1 (+ 1 (/ s (/ (* s s) (PI)))))
(+ 1 (/ s (/ (* s s) (PI))))
(/ s (/ (* s s) (PI)))
(/ (* s s) (PI))
(* s s)
(PI)
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0))) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0)))
(+ 0 (pow (neg s) 3))
0
(pow (neg s) 3)
(neg s)
s
3
(+ 0 (- (* s s) 0))
(- (* s s) 0)
(* s s)
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
1
(/ 1 (+ 1 (+ 1 (/ (PI) s))))
(+ 1 (+ 1 (/ (PI) s)))
(+ 1 (/ (PI) s))
(/ (PI) s)
(PI)
Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
(*.f32 (neg.f32 s) (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 (neg.f32 (PI.f32)) s)))) (/.f32 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 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1))
(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 (neg.f32 (PI.f32)) s)))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal -1 binary32)))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)
(+.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 (neg.f32 (PI.f32)) s)))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal -1 binary32))
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s))))))
(/.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 (neg.f32 (PI.f32)) s)))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))
(+.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 (neg.f32 (PI.f32)) s)))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.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)))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))
(exp (/ (neg (PI)) s))
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
(/ (neg (PI)) s)
(/.f32 (neg.f32 (PI.f32)) s)
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(/ 1 (+ 1 (exp (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (exp (/ (PI) s)))
(+.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 (+ 1 (pow (E) (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 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)
(* (* (PI) (+ (* -1/4 u) 1/4)) -4)
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(* (PI) (+ (* -1/4 u) 1/4))
(*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (PI.f32))
(PI)
(PI.f32)
(+ (* -1/4 u) 1/4)
(fma.f32 u #s(literal -1/4 binary32) #s(literal 1/4 binary32))
-1/4
#s(literal -1/4 binary32)
u
1/4
#s(literal 1/4 binary32)
-4
#s(literal -4 binary32)
(* (neg s) (/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s))))
(neg.f32 (PI.f32))
(neg s)
(neg.f32 s)
s
(/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s)))
(/.f32 (PI.f32) s)
(neg (* s (* s s)))
(neg.f32 (*.f32 s (*.f32 s s)))
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)
(* (neg (/ (* s s) (PI))) (* s s))
(/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (neg.f32 (PI.f32)))
(neg (/ (* s s) (PI)))
(/.f32 (*.f32 s (neg.f32 s)) (PI.f32))
(/ (* s s) (PI))
(/.f32 (*.f32 s s) (PI.f32))
(PI)
(PI.f32)
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1))
(log1p.f32 (/.f32 (PI.f32) s))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI)))))))
(+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
(+ 1 (+ 1 (/ s (/ (* s s) (PI)))))
(+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))
(+ 1 (/ s (/ (* s s) (PI))))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ s (/ (* s s) (PI)))
(/.f32 (PI.f32) s)
(/ (* s s) (PI))
(/.f32 (*.f32 s s) (PI.f32))
(* s s)
(*.f32 s s)
(PI)
(PI.f32)
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0))) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0)))
(neg.f32 s)
(+ 0 (pow (neg s) 3))
(neg.f32 (*.f32 s (*.f32 s s)))
0
#s(literal 0 binary32)
(pow (neg s) 3)
(neg.f32 (*.f32 s (*.f32 s s)))
(neg s)
(neg.f32 s)
s
3
#s(literal 3 binary32)
(+ 0 (- (* s s) 0))
(*.f32 s s)
(- (* s s) 0)
(*.f32 s s)
(* s s)
(*.f32 s s)
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1))
(log1p.f32 (/.f32 (PI.f32) s))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
(+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(/ 1 (+ 1 (+ 1 (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
(+ 1 (+ 1 (/ (PI) s)))
(+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))
(+ 1 (/ (PI) s))
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)

localize267.0ms (1.4%)

Memory
-2.8MiB live, 350.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))
accuracy98.8%
(/.f32 (PI.f32) s)
accuracy39.2%
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32))))
accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))
accuracy99.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32))))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32)))))))
accuracy61.4%
(/.f32 s (/.f32 (*.f32 s s) (PI.f32)))
accuracy99.7%
(*.f32 s (*.f32 s s))
accuracy99.5%
(/.f32 (*.f32 s s) (PI.f32))
accuracy98.8%
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
accuracy34.6%
(/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s)))
accuracy100.0%
(fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))
accuracy100.0%
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
accuracy100.0%
(PI.f32)
accuracy99.0%
(*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32)))
accuracy99.6%
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
accuracy99.1%
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
accuracy98.8%
(/.f32 (neg.f32 (PI.f32)) s)
accuracy98.8%
(/.f32 (PI.f32) s)
Samples
115.0ms256×0valid
Compiler

Compiled 645 to 64 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 24.0ms (26.2% of total)
ival-mult: 16.0ms (17.5% of total)
ival-pow: 15.0ms (16.4% of total)
ival-add: 12.0ms (13.1% of total)
ival-log: 7.0ms (7.6% of total)
ival-sub: 5.0ms (5.5% of total)
ival-exp: 4.0ms (4.4% of total)
ival-neg: 4.0ms (4.4% of total)
ival-e: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (0.5%)

Memory
8.5MiB live, 164.1MiB allocated
Counts
26 → 324
Calls
Call 1
Inputs
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (pow (E) (/ (PI) s))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))>
#<alt (neg s)>
#<alt (* (* (PI) (+ (* -1/4 u) 1/4)) -4)>
#<alt (* (PI) (+ (* -1/4 u) 1/4))>
#<alt (PI)>
#<alt (+ (* -1/4 u) 1/4)>
#<alt (/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s)))>
#<alt (* (neg s) (/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s))))>
#<alt (neg (* s (* s s)))>
#<alt (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI)))))))>
#<alt (/ s (/ (* s s) (PI)))>
#<alt (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1))>
#<alt (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)>
#<alt (pow (neg s) 3)>
#<alt (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0)))>
#<alt (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))>
#<alt (+ 0 (pow (neg s) 3))>
#<alt (/ (PI) s)>
#<alt (/ (neg (PI)) s)>
#<alt (/ (* s s) (PI))>
#<alt (* s (* s s))>
#<alt (* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)))>
#<alt (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))>
#<alt (* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0))) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))>
Outputs
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)>
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)>
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)>
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)>
#<alt (* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))>
#<alt (* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s))>
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 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))))))))) (* -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)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 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))))))))) (* -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))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))>
#<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 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))>
#<alt (* 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))))) s)) (* 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E)))))))>
#<alt (+ (* -1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -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 (* (pow (PI) 3) (pow (log (E)) 3))))))) (* 8 (* (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E)))))))))))) (pow s 2))) (* 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))))>
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#<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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) (log (E))) 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) (log (E))) 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) (log (E))) 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))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) 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)))) u))) u)))>
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) 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))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))>
#<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 (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* u (PI)))>
#<alt (+ (* -1 (PI)) (* u (PI)))>
#<alt (+ (* -1 (PI)) (* u (PI)))>
#<alt (* u (PI))>
#<alt (* u (+ (PI) (* -1 (/ (PI) u))))>
#<alt (* u (+ (PI) (* -1 (/ (PI) u))))>
#<alt (* u (+ (PI) (* -1 (/ (PI) u))))>
#<alt (* u (PI))>
#<alt (* -1 (* u (+ (* -1 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -1 (PI)) (/ (PI) u))))>
#<alt (* -1 (* u (+ (* -1 (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>
#<alt (+ 1/4 (* -1/4 u))>
#<alt (+ 1/4 (* -1/4 u))>
#<alt (+ 1/4 (* -1/4 u))>
#<alt (* -1/4 u)>
#<alt (* u (- (* 1/4 (/ 1 u)) 1/4))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1/4))>
#<alt (* u (- (* 1/4 (/ 1 u)) 1/4))>
#<alt (* -1/4 u)>
#<alt (* -1 (* u (- 1/4 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/4 (* 1/4 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/4 (* 1/4 (/ 1 u)))))>
#<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 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (PI))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (/ (PI) s)>
#<alt (/ (+ (PI) (* 2 s)) s)>
#<alt (/ (+ (PI) (* 2 s)) s)>
#<alt (/ (+ (PI) (* 2 s)) s)>
#<alt 2>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt 2>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (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 (/ (PI) s)>
#<alt (+ (log (PI)) (* -1 (log s)))>
#<alt (+ (log (PI)) (+ (* -1 (log s)) (/ s (PI))))>
#<alt (+ (log (PI)) (+ (* -1 (log s)) (* s (+ (* -1/2 (/ s (pow (PI) 2))) (/ 1 (PI))))))>
#<alt (+ (log (PI)) (+ (* -1 (log s)) (* s (+ (* s (- (* 1/3 (/ s (pow (PI) 3))) (* 1/2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))))>
#<alt (/ (PI) s)>
#<alt (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)>
#<alt (/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (* 1/3 (/ (pow (PI) 3) (pow s 2))))) s)>
#<alt (/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (+ (* -1/4 (/ (pow (PI) 4) (pow s 3))) (* 1/3 (/ (pow (PI) 3) (pow s 2)))))) s)>
#<alt (/ (PI) s)>
#<alt (* -1 (/ (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1/2 (pow (PI) 2)) (* 1/3 (/ (pow (PI) 3) s))) s))) s))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (PI) 3)) (* 1/4 (/ (pow (PI) 4) s))) s)) (* -1/2 (pow (PI) 2))) s))) s))>
#<alt (/ (PI) s)>
#<alt (/ (+ s (PI)) s)>
#<alt (/ (+ s (PI)) s)>
#<alt (/ (+ s (PI)) s)>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (/ (PI) s))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (/ (PI) s))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<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) (* 2 s)) s)>
#<alt (/ (+ (PI) (* 2 s)) s)>
#<alt (/ (+ (PI) (* 2 s)) s)>
#<alt 2>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt 2>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt (+ 2 (/ (PI) s))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<alt (* -1 (pow s 3))>
#<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 (/ (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 (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (/ (pow s 2) (PI))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (* -1 (* s (+ (log (PI)) (* -1 (log s)))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* -1 (/ s (PI)))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* s (- (* 1/2 (/ s (pow (PI) 2))) (/ 1 (PI))))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* s (- (* s (+ (* -1/3 (/ s (pow (PI) 3))) (* 1/2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s)))>
#<alt (+ (* -1 (PI)) (+ (* -1/3 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s))))>
#<alt (+ (* -1 (PI)) (+ (* -1/3 (/ (pow (PI) 3) (pow s 2))) (+ (* 1/4 (/ (pow (PI) 4) (pow s 3))) (* 1/2 (/ (pow (PI) 2) s)))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s)))>
#<alt (+ (* -1 (PI)) (* -1 (/ (+ (* -1/2 (pow (PI) 2)) (* 1/3 (/ (pow (PI) 3) s))) s)))>
#<alt (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (PI) 3)) (* 1/4 (/ (pow (PI) 4) s))) s)) (* -1/2 (pow (PI) 2))) s)))>
#<alt (/ s (PI))>
#<alt (* s (+ (* -2 (/ s (pow (PI) 2))) (/ 1 (PI))))>
#<alt (* s (+ (* s (- (* 4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))>
#<alt (* s (+ (* s (- (* s (+ (* -8 (/ s (pow (PI) 4))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow (PI) 2) (pow s 2)))) (* 1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1/16 (/ (pow (PI) 3) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (PI) 2) s)) (* -1/4 (PI))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (PI) 3) s)) (* -1/8 (pow (PI) 2))) s)) (* -1/4 (PI))) s)))>
#<alt (* -1 (* s (+ (log (PI)) (* -1 (log s)))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* -1 (/ s (PI)))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* s (- (* 1/2 (/ s (pow (PI) 2))) (/ 1 (PI))))))>
#<alt (* s (+ (* -1 (+ (log (PI)) (* -1 (log s)))) (* s (- (* s (+ (* -1/3 (/ s (pow (PI) 3))) (* 1/2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s)))>
#<alt (+ (* -1 (PI)) (+ (* -1/3 (/ (pow (PI) 3) (pow s 2))) (* 1/2 (/ (pow (PI) 2) s))))>
#<alt (+ (* -1 (PI)) (+ (* -1/3 (/ (pow (PI) 3) (pow s 2))) (+ (* 1/4 (/ (pow (PI) 4) (pow s 3))) (* 1/2 (/ (pow (PI) 2) s)))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* 1/2 (/ (pow (PI) 2) s)))>
#<alt (+ (* -1 (PI)) (* -1 (/ (+ (* -1/2 (pow (PI) 2)) (* 1/3 (/ (pow (PI) 3) s))) s)))>
#<alt (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (PI) 3)) (* 1/4 (/ (pow (PI) 4) s))) s)) (* -1/2 (pow (PI) 2))) s)))>
Calls

81 calls:

TimeVariablePointExpression
44.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
15.0ms
s
@-inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
6.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
6.0ms
s
@0
(pow (neg s) 3)
3.0ms
u
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))

rewrite277.0ms (1.4%)

Memory
5.9MiB live, 397.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 304×*-lowering-*.f32
2 304×*-lowering-*.f64
2 266×accelerator-lowering-fma.f32
2 266×accelerator-lowering-fma.f64
1 706×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062270
1468236
24993160
08954150
Stop Event
iter limit
node limit
Counts
26 → 1 495
Calls
Call 1
Inputs
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(pow (E) (/ (PI) s))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)))
(neg s)
(* (* (PI) (+ (* -1/4 u) 1/4)) -4)
(* (PI) (+ (* -1/4 u) 1/4))
(PI)
(+ (* -1/4 u) 1/4)
(/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s)))
(* (neg s) (/ (neg (* s (* s s))) (* (neg (/ (* s s) (PI))) (* s s))))
(neg (* s (* s s)))
(/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI)))))))
(/ s (/ (* s s) (PI)))
(log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1))
(- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)
(pow (neg s) 3)
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0)))
(/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s)))))
(+ 0 (pow (neg s) 3))
(/ (PI) s)
(/ (neg (PI)) s)
(/ (* s s) (PI))
(* s (* s s))
(* (neg s) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))) 1)))
(/ 1 (+ 1 (+ 1 (/ s (/ (* s s) (PI))))))
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* s s) 0))) (log (- (/ 1 (/ 1 (+ 1 (+ 1 (/ (PI) s))))) 1)))
Outputs
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))
(+.f32 (*.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(fma.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))
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(*.f32 (neg.f32 (pow.f32 s #s(literal 3/2 binary32))) (pow.f32 s #s(literal 3/2 binary32)))
(*.f32 (*.f32 (*.f32 s s) #s(literal -1 binary32)) s)
(neg.f32 (*.f32 s (log1p.f32 (/.f32 (PI.f32) s))))
(pow.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 s (log1p.f32 (/.f32 (PI.f32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s)))))
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s s))
(/.f32 (*.f32 (log1p.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (/.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
(*.f32 s (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 s (neg.f32 (log1p.f32 (/.f32 (PI.f32) s))))
(*.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (*.f32 s s)))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(*.f32 #s(literal -1 binary32) (*.f32 s (log1p.f32 (/.f32 (PI.f32) s))))
(*.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) s) (/.f32 (log1p.f32 (/.f32 (PI.f32) s)) s))
(*.f32 (*.f32 (log1p.f32 (/.f32 (PI.f32) s)) #s(literal -1 binary32)) s)
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))
(*.f32 (pow.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) (/.f32 (PI.f32) s) #s(literal 1 binary32)))
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(-.f32 #s(literal 0 binary32) (*.f32 s (log1p.f32 (/.f32 (PI.f32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s)))))
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s s))
(/.f32 (*.f32 (log1p.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (/.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
(*.f32 s (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 s (neg.f32 (log1p.f32 (/.f32 (PI.f32) s))))
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(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (*.f32 s s)))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(*.f32 #s(literal -1 binary32) (*.f32 s (log1p.f32 (/.f32 (PI.f32) s))))
(*.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) s) (/.f32 (log1p.f32 (/.f32 (PI.f32) s)) s))
(*.f32 (*.f32 (log1p.f32 (/.f32 (PI.f32) s)) #s(literal -1 binary32)) s)
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))

simplify573.0ms (2.9%)

Memory
-34.7MiB live, 869.0MiB allocated
Algorithm
egg-herbie
Rules
10 400×accelerator-lowering-fma.f32
10 400×accelerator-lowering-fma.f64
5 678×*-lowering-*.f32
5 678×*-lowering-*.f64
3 616×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06396662
119875143
279595137
081974812
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -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)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))
(* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (/ (* u (- (* 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))))))))) (* -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)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -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)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -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))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 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))))))))) (* -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))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))
(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 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))))
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(* -1 (* s (log -1)))
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(* 1/4 (PI))
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(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/4 (PI)))))
1/4
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(+ 1/4 (* -1/4 u))
(* -1/4 u)
(* u (- (* 1/4 (/ 1 u)) 1/4))
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(/ (PI) s)
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(/ (PI) s)
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(+ (log (PI)) (+ (* -1 (log s)) (* s (+ (* s (- (* 1/3 (/ s (pow (PI) 3))) (* 1/2 (/ 1 (pow (PI) 2))))) (/ 1 (PI))))))
(/ (PI) s)
(/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)
(/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (* 1/3 (/ (pow (PI) 3) (pow s 2))))) s)
(/ (+ (PI) (+ (* -1/2 (/ (pow (PI) 2) s)) (+ (* -1/4 (/ (pow (PI) 4) (pow s 3))) (* 1/3 (/ (pow (PI) 3) (pow s 2)))))) s)
(/ (PI) s)
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(/ (PI) s)
(/ (+ s (PI)) s)
(/ (+ s (PI)) s)
(/ (+ s (PI)) s)
1
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1
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1/2
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1/2
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Outputs
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(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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eval392.0ms (2%)

Memory
55.8MiB live, 673.7MiB allocated
Compiler

Compiled 76 508 to 10 361 computations (86.5% saved)

prune669.0ms (3.4%)

Memory
-10.4MiB live, 1 347.8MiB allocated
Pruning

101 alts after pruning (96 fresh and 5 done)

PrunedKeptTotal
New2 443432 486
Fresh135366
Picked235
Done022
Total2 4581012 559
Accuracy
99.3%
Counts
2 559 → 101
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal 96 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s)))
5.9%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -96 binary32))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 192 binary32)))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.5%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 u (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal 96 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.3%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.0%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -24 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -8 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
6.4%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 u (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal -32 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
5.9%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) #s(literal -224 binary32) (fma.f32 #s(literal 192 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 s s)))
4.3%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
6.8%
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
12.1%
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
11.9%
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
9.3%
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
11.9%
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
11.9%
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
7.5%
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
8.2%
(*.f32 (pow.f32 (/.f32 (pow.f32 s #s(literal 3/2 binary32)) s) #s(literal 2 binary32)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
4.3%
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
38.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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))))
1.4%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
12.5%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
12.5%
(*.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
1.4%
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))
14.5%
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
21.4%
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
8.8%
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
12.5%
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
12.5%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (neg.f32 (*.f32 s (*.f32 s s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
25.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
98.8%
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
8.2%
(*.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal -1/2 binary32))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
1.4%
(*.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
14.5%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
21.4%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
61.1%
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
7.9%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
11.6%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
37.0%
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
11.9%
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
11.9%
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
11.9%
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
6.9%
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
6.2%
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
3.8%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
4.3%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
7.9%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
10.4%
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
5.4%
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
5.0%
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
11.9%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
10.4%
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
15.3%
(*.f32 (neg.f32 s) (-.f32 (log1p.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s))) (log1p.f32 (/.f32 (PI.f32) s))))
15.3%
(*.f32 (neg.f32 s) (-.f32 (log.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)))))
25.1%
(*.f32 (neg.f32 s) (-.f32 (log.f32 (PI.f32)) (log.f32 s)))
5.9%
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
5.0%
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
7.2%
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
9.9%
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
9.3%
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
9.9%
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
11.9%
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
7.2%
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
25.1%
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
5.4%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
9.6%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s) #s(literal 1 binary32))))
15.3%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) s #s(literal 1 binary32))))
13.0%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
9.5%
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32)))) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
7.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32)) (log.f32 (exp.f32 (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
99.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
8.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))))) #s(literal 1 binary32))))
5.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s))) (*.f32 s (*.f32 s s))))))) #s(literal 1 binary32))))
4.5%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))))) #s(literal 1 binary32))))
17.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))))) #s(literal 1 binary32))))
17.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (/.f32 (*.f32 s s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))) #s(literal 1 binary32))))
5.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))))))) #s(literal 1 binary32))))
17.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.3%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
95.0%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
99.0%
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
86.7%
(*.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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.9%
(*.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) #s(literal 1 binary32))) (/.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 (/.f32 (*.f32 s s) (PI.f32)))))))) #s(literal 1 binary32))))
98.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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))))
97.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
36.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
25.1%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
98.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))
25.0%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))
14.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
11.2%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.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)))) (neg.f32 s)) (PI.f32)) s))))
7.5%
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
11.9%
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
11.9%
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
5.0%
(*.f32 u (PI.f32))
12.1%
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
11.9%
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
11.9%
(neg.f32 (PI.f32))
Compiler

Compiled 8 250 to 2 408 computations (70.8% saved)

regimes119.0ms (0.6%)

Memory
0.9MiB live, 278.6MiB allocated
Counts
141 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
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(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
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(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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 (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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 -2 binary32)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Outputs
(*.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
Calls

3 calls:

39.0ms
(*.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))))
36.0ms
u
36.0ms
s
Results
AccuracySegmentsBranch
99.0%1u
99.0%1s
99.0%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)

regimes167.0ms (0.9%)

Memory
-8.6MiB live, 249.5MiB allocated
Counts
133 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) s #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))) #s(literal 1 binary32))))
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (neg.f32 s) (/.f32 (PI.f32) (*.f32 s (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
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(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 #s(literal 4 binary32) (fma.f32 u (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))) #s(literal 0 binary32))) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) #s(literal -24 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -128 binary32))))) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 #s(literal 4 binary32) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 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) #s(literal 1 binary32))) (/.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 (/.f32 (*.f32 s s) (PI.f32)))))))) #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) (+.f32 #s(literal 1 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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 (/.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 (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) (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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) 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) (pow.f32 (E.f32) (*.f32 (/.f32 (neg.f32 s) (neg.f32 (*.f32 s s))) (PI.f32))))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) 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))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Calls

3 calls:

77.0ms
u
47.0ms
(*.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))))
36.0ms
s
Results
AccuracySegmentsBranch
99.0%1u
99.0%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))))
99.0%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes140.0ms (0.7%)

Memory
7.2MiB live, 244.2MiB allocated
Counts
124 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
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(*.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 #s(literal 4 binary32) (fma.f32 u (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))) #s(literal 0 binary32))) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) #s(literal -24 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -128 binary32))))) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 #s(literal 4 binary32) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 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) #s(literal 1 binary32))) (/.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 (/.f32 (*.f32 s s) (PI.f32)))))))) #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) (+.f32 #s(literal 1 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
Outputs
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
Calls

3 calls:

54.0ms
(*.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))))
39.0ms
s
36.0ms
u
Results
AccuracySegmentsBranch
97.3%1u
97.3%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))))
97.3%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes114.0ms (0.6%)

Memory
-4.7MiB live, 285.1MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
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(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal 4 binary32))) #s(literal -6 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))))) #s(literal 4 binary32) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)) (fma.f32 #s(literal 4 binary32) (fma.f32 u (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))) #s(literal 0 binary32))) (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) #s(literal -24 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -128 binary32))))) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 #s(literal 4 binary32) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 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) #s(literal 1 binary32))) (/.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 (/.f32 (*.f32 s s) (PI.f32)))))))) #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) (+.f32 #s(literal 1 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (/.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #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) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
Calls

3 calls:

39.0ms
u
35.0ms
(*.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))))
33.0ms
s
Results
AccuracySegmentsBranch
97.0%1u
97.0%1s
97.0%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)

regimes201.0ms (1%)

Memory
-19.7MiB live, 212.1MiB allocated
Counts
115 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
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(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal 4 binary32))) #s(literal -6 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Calls

3 calls:

80.0ms
u
48.0ms
s
31.0ms
(*.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))))
Results
AccuracySegmentsBranch
37.9%1u
37.9%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))))
37.9%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes119.0ms (0.6%)

Memory
22.5MiB live, 217.5MiB allocated
Counts
114 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) s #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))) #s(literal 1 binary32))))
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (neg.f32 s) (/.f32 (PI.f32) (*.f32 s (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s) #s(literal 1 binary32))))
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal -4 binary32) (-.f32 (/.f32 (fma.f32 u (fma.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))) #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (neg.f32 (*.f32 s s))) (PI.f32)))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32)))) #s(literal 1 binary32))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) #s(literal -224 binary32) (fma.f32 #s(literal 192 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 s s)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))))) #s(literal 1 binary32))))
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(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -96 binary32))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 192 binary32)))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(*.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal -1/2 binary32))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(*.f32 (pow.f32 (/.f32 (pow.f32 s #s(literal 3/2 binary32)) s) #s(literal 2 binary32)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -24 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -8 binary32)) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -96 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal -24 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32)) (*.f32 u #s(literal 0 binary32))) #s(literal 4 binary32))) #s(literal -6 binary32) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -128 binary32)) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 192 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
Calls

3 calls:

45.0ms
(*.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))))
36.0ms
u
32.0ms
s
Results
AccuracySegmentsBranch
36.8%1u
36.8%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))))
36.8%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes107.0ms (0.5%)

Memory
8.9MiB live, 159.1MiB allocated
Counts
97 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
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(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (neg.f32 (*.f32 s (*.f32 s s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
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(*.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (/.f32 (*.f32 s s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))) #s(literal 1 binary32))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 u (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) #s(literal -32 binary32))))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -128 binary32)) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal 96 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/48 binary32))) #s(literal -24 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s)))
(*.f32 (neg.f32 s) (-.f32 (log.f32 (PI.f32)) (log.f32 s)))
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(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32))) s) (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)) (neg.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))))) (neg.f32 s)))
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(*.f32 (neg.f32 s) (-.f32 (log1p.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s))) (log1p.f32 (/.f32 (PI.f32) s))))
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(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (-.f32 (log.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) #s(literal 0 binary32)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
Calls

3 calls:

47.0ms
s
30.0ms
(*.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))))
25.0ms
u
Results
AccuracySegmentsBranch
25.1%1u
25.1%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))))
25.1%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes66.0ms (0.3%)

Memory
-34.8MiB live, 134.3MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) s #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))) #s(literal 1 binary32))))
(/.f32 (log1p.f32 (/.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (fma.f32 (neg.f32 s) (/.f32 (PI.f32) (*.f32 s (neg.f32 s))) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (log1p.f32 (/.f32 (PI.f32) s))) s) s)
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s) #s(literal 1 binary32))))
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal -4 binary32) (-.f32 (/.f32 (fma.f32 u (fma.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))) #s(literal 4 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (neg.f32 (*.f32 s s))) (PI.f32)))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32)))) #s(literal 1 binary32))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) #s(literal -224 binary32) (fma.f32 #s(literal 192 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 s s)))
Outputs
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
Calls

3 calls:

26.0ms
(*.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))))
18.0ms
s
18.0ms
u
Results
AccuracySegmentsBranch
25.1%1s
25.1%1u
25.1%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)

regimes74.0ms (0.4%)

Memory
8.4MiB live, 89.3MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (*.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 (PI.f32) s)) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
Calls

3 calls:

30.0ms
s
29.0ms
(*.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))))
14.0ms
u
Results
AccuracySegmentsBranch
25.1%1s
25.1%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))))
25.1%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes43.0ms (0.2%)

Memory
24.2MiB live, 101.7MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
Calls

3 calls:

14.0ms
u
14.0ms
s
13.0ms
(*.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))))
Results
AccuracySegmentsBranch
25.1%1s
25.1%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))))
25.1%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes44.0ms (0.2%)

Memory
-7.7MiB live, 109.5MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
Outputs
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
Calls

3 calls:

14.0ms
u
14.0ms
s
13.0ms
(*.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))))
Results
AccuracySegmentsBranch
25.1%1s
25.1%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))))
25.1%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes42.0ms (0.2%)

Memory
0.8MiB live, 119.8MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s)) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 s (neg.f32 s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)))
(*.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (neg.f32 s)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 s s) (/.f32 s (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 s s)) (*.f32 s s)) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (PI.f32))) (*.f32 s s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 s (*.f32 s (*.f32 s s)))))
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)) (*.f32 u (*.f32 u u))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 s (*.f32 s s)))))
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 s) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 s s) (PI.f32)))) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) s)) (*.f32 (neg.f32 (/.f32 (*.f32 s s) (PI.f32))) (neg.f32 (/.f32 (*.f32 s s) (PI.f32))))))
(*.f32 (neg.f32 s) (/.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 s (*.f32 s (*.f32 s s))))) (*.f32 s s))))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 s (/.f32 (*.f32 s (*.f32 s s)) (PI.f32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))
(*.f32 (log1p.f32 (/.f32 (PI.f32) s)) s)
(fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/32 binary32)) (*.f32 s s)) #s(literal -32 binary32)) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))) (*.f32 s s)))))
Outputs
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
Calls

3 calls:

15.0ms
(*.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))))
13.0ms
u
13.0ms
s
Results
AccuracySegmentsBranch
14.5%1s
14.5%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))))
14.5%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes23.0ms (0.1%)

Memory
-2.4MiB live, 72.8MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (neg.f32 s) (*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal -1 binary32) (*.f32 s s))))
Outputs
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
Calls

3 calls:

8.0ms
s
7.0ms
u
7.0ms
(*.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))))
Results
AccuracySegmentsBranch
14.5%1s
14.5%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))))
14.5%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes24.0ms (0.1%)

Memory
6.3MiB live, 58.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 u (-.f32 (PI.f32) (/.f32 (PI.f32) u)))
(*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) s))
(*.f32 (neg.f32 s) (/.f32 (*.f32 (PI.f32) s) (*.f32 s s)))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 u (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) u)))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 s (PI.f32))))
(*.f32 (neg.f32 s) (/.f32 s (/.f32 (*.f32 s s) (PI.f32))))
Outputs
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
Calls

3 calls:

11.0ms
(*.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))))
6.0ms
u
6.0ms
s
Results
AccuracySegmentsBranch
12.1%1s
12.1%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))))
12.1%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes10.0ms (0%)

Memory
-10.8MiB live, 27.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
Outputs
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
Calls

3 calls:

4.0ms
(*.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))))
3.0ms
u
2.0ms
s
Results
AccuracySegmentsBranch
11.9%1s
11.9%1u
11.9%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)

regimes8.0ms (0%)

Memory
-14.5MiB live, 23.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
Outputs
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
Calls

3 calls:

3.0ms
s
2.0ms
(*.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))))
2.0ms
u
Results
AccuracySegmentsBranch
11.9%1s
11.9%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))))
11.9%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes6.0ms (0%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
Outputs
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
Calls

3 calls:

2.0ms
(*.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))))
2.0ms
u
2.0ms
s
Results
AccuracySegmentsBranch
11.9%1s
11.9%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))))
11.9%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes6.0ms (0%)

Memory
-20.0MiB live, 17.7MiB allocated
Accuracy

Total -2.3b remaining (-8%)

Threshold costs -2.3b (-8%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 u (PI.f32))
Outputs
(neg.f32 (PI.f32))
Calls

3 calls:

2.0ms
s
2.0ms
(*.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))))
1.0ms
u
Results
AccuracySegmentsBranch
11.9%1s
11.9%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))))
11.9%1u
Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify110.0ms (0.6%)

Memory
6.9MiB live, 83.1MiB allocated
Algorithm
egg-herbie
Rules
716×distribute-lft-neg-in_binary32
376×neg-mul-1_binary32
340×neg-sub0_binary32
306×distribute-neg-in_binary32
270×sub-neg_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0118326
1219322
2353322
3579321
4928319
51282319
61460319
71548319
81609319
91666319
101707319
111736319
121771319
131826319
141931319
152037319
162115319
172155319
182168319
192172319
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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 (/.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.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) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.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 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.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 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
Outputs
(*.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 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.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 (+.f32 s (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (*.f32 s (/.f32 s (PI.f32))))))))))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (PI.f32))))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 s (*.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))) (*.f32 s (/.f32 s (PI.f32))))))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))))))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1/2 binary32)) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1/2 binary32)))))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (fma.f32 (/.f32 s (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (PI.f32) s) s)))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 s (PI.f32)) s)))
(*.f32 (neg.f32 s) (log1p.f32 (/.f32 (PI.f32) s)))
(*.f32 (neg.f32 s) (log.f32 (/.f32 (PI.f32) s)))
(*.f32 (*.f32 (*.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (/.f32 (PI.f32) s) (*.f32 (*.f32 s s) (/.f32 #s(literal -1 binary32) s)))
(*.f32 (/.f32 (*.f32 s (neg.f32 s)) s) (/.f32 (PI.f32) s))
(*.f32 (/.f32 (PI.f32) (neg.f32 s)) (/.f32 (*.f32 s s) s))
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 4 binary32) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 s (/.f32 (PI.f32) (neg.f32 s)))
(*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))
(fma.f32 u (PI.f32) (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))

soundness1.7s (8.7%)

Memory
5.6MiB live, 1 768.6MiB allocated
Rules
11 190×accelerator-lowering-fma.f32
11 190×accelerator-lowering-fma.f64
10 400×accelerator-lowering-fma.f32
10 400×accelerator-lowering-fma.f64
9 020×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062270
1468236
24993160
08954150
06396662
119875143
279595137
081974812
092466
1604283
26206283
08027269
07918016
126476613
082796225
021100
1142100
21318100
0858389
010089093
133137226
091256726
04735385
114374295
261513852
087153634
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 280 to 736 computations (42.5% saved)

preprocess79.0ms (0.4%)

Memory
16.7MiB live, 172.6MiB allocated
Compiler

Compiled 720 to 258 computations (64.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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