Sample trimmed logistic on [-pi, pi]

Time bar (total: 17.0s)

analyze147.0ms (0.9%)

Memory
-2.7MiB live, 200.8MiB 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)

sample2.5s (14.9%)

Memory
-59.6MiB live, 3 954.9MiB allocated
Samples
2.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-sub: 341.0ms (18.7% of total)
...in/eval/compile.rkt:111:19: 297.0ms (16.3% of total)
ival-div: 279.0ms (15.3% of total)
ival-mult: 196.0ms (10.8% of total)
ival-log: 176.0ms (9.7% of total)
ival-exp: 159.0ms (8.7% of total)
ival-add: 129.0ms (7.1% of total)
ival-<=: 105.0ms (5.8% of total)
ival-neg: 78.0ms (4.3% of total)
ival-pi: 31.0ms (1.7% of total)
ival-and: 23.0ms (1.3% of total)
...in/eval/compile.rkt:110:19: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess205.0ms (1.2%)

Memory
-11.1MiB live, 111.6MiB 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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
Call 2
Inputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1)))
(neg (* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))))
(neg (* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1))))
(* (neg u) (log (- (/ 1 (+ (* s (- (/ 1 (+ 1 (exp (/ (neg (PI)) u)))) (/ 1 (+ 1 (exp (/ (PI) u)))))) (/ 1 (+ 1 (exp (/ (PI) u)))))) 1)))
Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(* (neg s) (log (+ (/ 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)))

explain321.0ms (1.9%)

Memory
5.9MiB live, 644.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
21(1.0567623576207552e-7 0.010862382128834724)2(0.00021299875515978783 0.04135200381278992)(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
21(1.0567623576207552e-7 0.010862382128834724)2(0.00021299875515978783 0.04135200381278992)(exp.f32 (/.f32 (PI.f32) s))
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))))
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 (/.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) (+.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
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))sensitivity15
exp.f32(exp.f32 (/.f32 (PI.f32) s))sensitivity15
Confusion
Predicted +Predicted -
+01
-1254
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-15249
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0255
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms512×0valid
Compiler

Compiled 594 to 88 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 18.0ms (30.6% of total)
ival-exp: 8.0ms (13.6% of total)
ival-add: 7.0ms (11.9% of total)
ival-log: 7.0ms (11.9% of total)
ival-mult: 6.0ms (10.2% of total)
ival-neg: 5.0ms (8.5% of total)
ival-sub: 4.0ms (6.8% of total)
ival-pi: 2.0ms (3.4% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.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) (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)

simplify62.0ms (0.4%)

Memory
11.7MiB live, 49.5MiB 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-diff64
(*.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-diff3392
(+.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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(- (/ 1 (+ (* u (- (/ 1 (+ 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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (* u (- (/ 1 (+ 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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.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)

localize116.0ms (0.7%)

Memory
-27.3MiB live, 94.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(exp.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) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
accuracy99.0%
(/.f32 (neg.f32 (PI.f32)) s)
accuracy99.0%
(/.f32 (PI.f32) s)
Samples
41.0ms256×0valid
Compiler

Compiled 258 to 23 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 8.0ms (28.9% of total)
ival-exp: 4.0ms (14.4% of total)
ival-add: 3.0ms (10.8% of total)
ival-mult: 3.0ms (10.8% of total)
ival-log: 3.0ms (10.8% of total)
ival-sub: 2.0ms (7.2% of total)
ival-neg: 2.0ms (7.2% of total)
ival-pi: 1.0ms (3.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (0.8%)

Memory
32.1MiB live, 149.7MiB 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 (/ (PI) s))>
Outputs
#<alt (/ 1 (+ 1 (exp (/ (PI) s))))>
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#<alt (* -1 (PI))>
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#<alt (* -1 s)>
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#<alt (/ (PI) s)>
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#<alt (exp (/ (PI) s))>
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#<alt (exp (/ (PI) s))>
#<alt (exp (/ (PI) s))>
#<alt 1>
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#<alt (+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))>
#<alt 1>
#<alt (+ 1 (/ (PI) s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))>
Calls

30 calls:

TimeVariablePointExpression
87.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
25.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
5.0ms
s
@-inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
3.0ms
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
s
@inf
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))

rewrite522.0ms (3.1%)

Memory
-13.0MiB live, 616.2MiB 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
02199
114299
2131899
0858388
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 (/ (PI) s))
Outputs
(exp.f32 (log.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) (/.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) (/.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 u (+.f32 (/.f32 #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)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #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))
(pow.f32 (/.f32 #s(literal 1 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) (/.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) (/.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 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) (/.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) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #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 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 (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 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) (/.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 #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) (/.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 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #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)))))))
(fma.f32 (+.f32 (/.f32 #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))))) 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) (/.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 (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) (/.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) (/.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 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))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #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)))))))
(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) (+.f32 #s(literal 1 binary32) (*.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) (/.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 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) (/.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 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) (/.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 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) (/.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 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (/.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) (/.f32 #s(literal 1 binary32) (exp.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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.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))))) (/.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) (/.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 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(fma.f32 (/.f32 (-.f32 (pow.f32 (+.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 u (+.f32 (/.f32 #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)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
(-.f32 #s(literal 0 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) (/.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) (/.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 2 binary32)) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 2 binary32)) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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)) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 2 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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) (/.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 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) (/.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 #s(literal 1 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) (/.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) (/.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 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) (/.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) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #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 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 (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))))
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(fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 0 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (neg.f32 (/.f32 (PI.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) (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32)))
(/.f32 (PI.f32) s)
(/.f32 (PI.f32) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 s))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 #s(literal -1 binary32) (/.f32 s (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32))))
(/.f32 (/.f32 (PI.f32) #s(literal 1 binary32)) s)
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (neg.f32 (PI.f32)))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 s (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal 1 binary32))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) (PI.f32))) (*.f32 (neg.f32 s) (neg.f32 s)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 s) s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 s) (neg.f32 (neg.f32 s))))
(/.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))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 s (neg.f32 (PI.f32))))) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 (neg.f32 s) (neg.f32 (/.f32 s (neg.f32 (PI.f32))))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (/.f32 (PI.f32) #s(literal -1 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (/.f32 (PI.f32) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (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 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #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 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) s))
(*.f32 (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s))
(*.f32 (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(log.f32 (exp.f32 (/.f32 (PI.f32) s)))
(neg.f32 (/.f32 (PI.f32) s))
(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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(exp.f32 (/.f32 (PI.f32) s))
(pow.f32 (exp.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (PI.f32) s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(*.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))

simplify764.0ms (4.5%)

Memory
-30.6MiB live, 592.3MiB allocated
Algorithm
egg-herbie
Rules
8 294×accelerator-lowering-fma.f32
8 294×accelerator-lowering-fma.f64
5 454×*-lowering-*.f32
5 454×*-lowering-*.f64
3 168×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04725379
114394292
261583848
086253630
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
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(+ 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)))
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(* -1 (PI))
(+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))
(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))))
(* -1 (* s (log -1)))
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(+ (* -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 (/ (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)))
Outputs
(/ 1 (+ 1 (exp (/ (PI) s))))
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(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))

eval142.0ms (0.8%)

Memory
37.1MiB live, 153.7MiB allocated
Compiler

Compiled 28 292 to 3 742 computations (86.8% saved)

prune162.0ms (0.9%)

Memory
-44.1MiB live, 125.5MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New51321534
Fresh000
Picked011
Done000
Total51322535
Accuracy
99.1%
Counts
535 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (+.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -128 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -24 binary32))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 u (+.f32 (*.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))))) s))) s))
4.9%
(+.f32 (+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -16 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32)) (*.f32 u (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))))))))) #s(literal 0 binary32)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -128 binary32))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -24 binary32)))))) (*.f32 s s)))
60.7%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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))))
39.9%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (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))))
11.3%
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
98.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))))) #s(literal 1 binary32))))
98.8%
(*.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) (/.f32 #s(literal 1 binary32) (exp.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))) (+.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.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) (/.f32 #s(literal 1 binary32) (exp.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) (/.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
3.4%
(*.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))))
96.8%
(*.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.5%
(*.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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
94.6%
(*.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 (PI.f32) s)))))) #s(literal 1 binary32))))
98.9%
(*.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) (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))))
92.9%
(*.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) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
94.9%
(*.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) (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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
84.7%
(*.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))))
98.9%
(*.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) (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))))
37.7%
(*.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) #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 (pow.f32 (*.f32 u (+.f32 (/.f32 #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 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32))))
97.7%
(*.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))))
98.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.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) (/.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))))
11.1%
(neg.f32 (PI.f32))
Compiler

Compiled 2 551 to 1 139 computations (55.4% saved)

simplify257.0ms (1.5%)

Memory
12.1MiB live, 251.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff96
(*.f32 #s(literal 0 binary32) (neg.f32 s))
cost-diff256
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s)))))
cost-diff3104
(pow.f32 (neg.f32 s) #s(literal 3 binary32))
cost-diff3328
(+.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)))))
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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
cost-diff64
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))
cost-diff64
(*.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-diff0
(-.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))
cost-diff0
(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)))
cost-diff0
(neg.f32 s)
cost-diff0
(*.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))))
cost-diff0
(PI.f32)
cost-diff0
(neg.f32 (PI.f32))
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-diff64
(*.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-diff3328
(+.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)))))
Rules
4 240×accelerator-lowering-fma.f32
4 240×accelerator-lowering-fma.f64
3 360×*-lowering-*.f32
3 360×*-lowering-*.f64
1 270×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621082
11431076
23091076
311371040
43778990
56629980
08031947
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)
(neg (PI))
(PI)
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)
(/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))))
1
(+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))
(/ (* u (* (PI) 1/2)) s)
(* u (* (PI) 1/2))
u
(* (PI) 1/2)
(PI)
1/2
(/ 1 (+ 1 (exp (/ (PI) s))))
(+ 1 (exp (/ (PI) s)))
(exp (/ (PI) s))
(/ (PI) s)
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(- (/ (* (* (PI) (PI)) -1/2) s) (PI))
(/ (* (* (PI) (PI)) -1/2) s)
(* (* (PI) (PI)) -1/2)
(* (PI) (PI))
-1/2
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))))
(+ 0 (pow (neg s) 3))
0
(pow (neg s) 3)
(neg s)
s
3
(+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))
(- (* (neg s) (neg s)) (* 0 (neg s)))
(* (neg s) (neg s))
(* 0 (neg 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 (pow (E) (/ (PI) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #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 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #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 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #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 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u))))
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 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.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)
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (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 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))) #s(literal -1 binary32))))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (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 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (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 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (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 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))))
1
#s(literal 1 binary32)
(+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))
(/ (* u (* (PI) 1/2)) s)
(*.f32 u (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 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))
(PI)
(PI.f32)
1/2
#s(literal 1/2 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)
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32))))) #s(literal -1 binary32))
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))
(+.f32 (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32)))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s) #s(literal 2 binary32))
(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) s))
(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal -1/2 binary32)))) s)
(- (/ (* (* (PI) (PI)) -1/2) s) (PI))
(*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal -1/2 binary32))))
(/ (* (* (PI) (PI)) -1/2) s)
(*.f32 (PI.f32) (*.f32 (/.f32 (PI.f32) s) #s(literal -1/2 binary32)))
(* (* (PI) (PI)) -1/2)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/2 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
-1/2
#s(literal -1/2 binary32)
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))))
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))))
(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 (- (* (neg s) (neg s)) (* 0 (neg s))))
(*.f32 s s)
(- (* (neg s) (neg s)) (* 0 (neg s)))
(*.f32 s s)
(* (neg s) (neg s))
(*.f32 s s)
(* 0 (neg s))
#s(literal 0 binary32)
(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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))) #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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u))))
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 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 #s(literal 1 binary32) u)))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))
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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.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)

localize364.0ms (2.1%)

Memory
28.5MiB live, 461.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f32 (PI.f32) s)
accuracy99.6%
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
accuracy99.6%
(exp.f32 (/.f32 (PI.f32) s))
accuracy18.7%
(PI.f32)
accuracy99.6%
(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))
accuracy99.6%
(exp.f32 (/.f32 (PI.f32) s))
accuracy99.6%
(*.f32 (PI.f32) (PI.f32))
accuracy18.7%
(PI.f32)
accuracy99.8%
(/.f32 (PI.f32) s)
accuracy99.8%
(/.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))))))
accuracy99.6%
(exp.f32 (/.f32 (PI.f32) s))
accuracy18.7%
(PI.f32)
accuracy100.0%
(neg.f32 (PI.f32))
accuracy18.7%
(PI.f32)
accuracy99.6%
(exp.f32 (/.f32 (PI.f32) s))
accuracy99.4%
(pow.f32 (E.f32) (/.f32 (PI.f32) s))
accuracy18.7%
(PI.f32)
accuracy18.7%
(E.f32)
Samples
159.0ms222×0invalid
16.0ms34×0valid
Compiler

Compiled 1 147 to 64 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 61.0ms (41.9% of total)
ival-div: 28.0ms (19.2% of total)
ival-pow: 16.0ms (11% of total)
ival-add: 11.0ms (7.5% of total)
ival-log: 10.0ms (6.9% of total)
ival-sub: 9.0ms (6.2% of total)
ival-exp: 4.0ms (2.7% of total)
ival-e: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series214.0ms (1.3%)

Memory
-21.2MiB live, 211.4MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))>
#<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 (PI))>
#<alt (PI)>
#<alt (* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))>
#<alt (neg s)>
#<alt (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))>
#<alt (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)>
#<alt (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))>
#<alt (pow (neg s) 3)>
#<alt (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))))>
#<alt (* 0 (neg s))>
#<alt (E)>
#<alt (exp (/ (PI) s))>
#<alt (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (/ (PI) s)>
#<alt (* (PI) (PI))>
#<alt (exp (/ (neg (PI)) s))>
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 (* 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))>
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#<alt (* -1 (/ (+ (* -2 (/ s (PI))) (* -1 (/ (- (* 8 (/ (pow s 3) (* u (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) u))) u))>
#<alt (* -1 (/ (+ (* -2 (/ s (PI))) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 4) (* u (* (pow (PI) 4) (pow (+ 1 (exp (/ (PI) s))) 3))))) (* 8 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) u)) (* 4 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) u))) u))>
#<alt (* 2 (/ s (* u (PI))))>
#<alt (* s (+ (* -4 (/ s (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 2 (/ 1 (* u (PI))))))>
#<alt (* s (+ (* s (- (* 8 (/ s (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 2 (/ 1 (* u (PI))))))>
#<alt (* s (+ (* s (- (* s (+ (* -16 (/ s (* (pow u 4) (* (pow (PI) 4) (pow (+ 1 (exp (/ (PI) s))) 3))))) (* 8 (/ 1 (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))) (* 4 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 2 (/ 1 (* u (PI))))))>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow s 2)))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- (* -1/2 (* u (PI))) (* -1/4 (PI))) s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)))) (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (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 (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

81 calls:

TimeVariablePointExpression
52.0ms
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)))
36.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
36.0ms
u
@0
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))
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
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))

rewrite350.0ms (2.1%)

Memory
3.9MiB live, 680.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 190×*-lowering-*.f32
3 190×*-lowering-*.f64
2 644×accelerator-lowering-fma.f32
2 644×accelerator-lowering-fma.f64
2 344×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058292
1446286
24601280
08865250
Stop Event
iter limit
node limit
Counts
22 → 719
Calls
Call 1
Inputs
(+ (* 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))))))
(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 (PI))
(PI)
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(neg s)
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(pow (neg s) 3)
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))))
(* 0 (neg s))
(E)
(exp (/ (PI) s))
(/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))))
(/ (PI) s)
(* (PI) (PI))
(exp (/ (neg (PI)) s))
Outputs
(exp.f32 (log.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 (/.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 (/.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 (/.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 (+.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) 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) (+.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) 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 (/.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 (/.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) 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) 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 (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (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) 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) 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) 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) 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) 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) 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) 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))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) (-.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) 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) 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) 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 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (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 (/.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) 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 (/.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 (/.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) 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) 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 (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (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) 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 (/.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) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32))
(/.f32 (neg.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 (/.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 (/.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 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (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 (/.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) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))
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(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (PI.f32) s))))
(*.f32 (exp.f32 (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s)) (exp.f32 (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s)))

simplify546.0ms (3.2%)

Memory
29.4MiB live, 1 341.3MiB allocated
Algorithm
egg-herbie
Rules
8 578×accelerator-lowering-fma.f32
8 578×accelerator-lowering-fma.f64
5 506×+-lowering-+.f64
5 506×+-lowering-+.f32
4 854×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141417351
1452414073
0903213030
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
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1/2
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1
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2
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(* 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)))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 (pow s 3))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
0
0
0
0
0
0
0
0
0
0
0
0
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
(exp (/ (PI) s))
1
(+ 1 (/ (PI) s))
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))
1
(+ 1 (/ (PI) s))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(+ 1 (exp (/ (PI) s)))
(+ 1 (+ (exp (/ (PI) s)) (* -1/2 (/ (* u (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2))) s))))
(+ 1 (+ (exp (/ (PI) s)) (* u (- (* 1/4 (/ (* u (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3))) (pow s 2))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) s))))))
(+ 1 (+ (exp (/ (PI) s)) (* u (- (* u (- (* -1/8 (/ (* u (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 4))) (pow s 3))) (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (pow s 2))))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) s))))))
(* 2 (/ s (* u (PI))))
(/ (+ (* -4 (/ (pow s 2) (* u (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 2 (/ s (PI)))) u)
(/ (- (+ (* 2 (/ s (PI))) (* 8 (/ (pow s 3) (* (pow u 2) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2)))))) (* 4 (/ (pow s 2) (* u (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u)
(/ (- (+ (* -16 (/ (pow s 4) (* (pow u 3) (* (pow (PI) 4) (pow (+ 1 (exp (/ (PI) s))) 3))))) (* 2 (/ s (PI)))) (+ (* -8 (/ (pow s 3) (* (pow u 2) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ (pow s 2) (* u (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) u)
(* 2 (/ s (* u (PI))))
(* -1 (/ (+ (* -2 (/ s (PI))) (* 4 (/ (pow s 2) (* u (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u))
(* -1 (/ (+ (* -2 (/ s (PI))) (* -1 (/ (- (* 8 (/ (pow s 3) (* u (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) u))) u))
(* -1 (/ (+ (* -2 (/ s (PI))) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 4) (* u (* (pow (PI) 4) (pow (+ 1 (exp (/ (PI) s))) 3))))) (* 8 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) u)) (* 4 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) u))) u))
(* 2 (/ s (* u (PI))))
(* s (+ (* -4 (/ s (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 2 (/ 1 (* u (PI))))))
(* s (+ (* s (- (* 8 (/ s (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 2 (/ 1 (* u (PI))))))
(* s (+ (* s (- (* s (+ (* -16 (/ s (* (pow u 4) (* (pow (PI) 4) (pow (+ 1 (exp (/ (PI) s))) 3))))) (* 8 (/ 1 (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))) (* 4 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 2 (/ 1 (* u (PI))))))
2
(+ 2 (* -4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))
(- (+ 2 (* -1 (/ (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow s 2)))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))
(- (+ 2 (* -1 (/ (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))))
2
(+ 2 (* 4 (/ (- (* -1/2 (* u (PI))) (* -1/4 (PI))) s)))
(+ 2 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)))) (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/2 (* u (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)
(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) (log (E))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
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(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) 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)))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))
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(* 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) (log (E))) s))))) (/ 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 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 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 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))) (/ 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 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (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))))))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(*.f32 (neg.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 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (neg.f32 u))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(*.f32 (neg.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 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (neg.f32 u))
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (* (PI) (log (E))) s))))))))
(*.f32 (neg.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 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (neg.f32 u))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) 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)))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) 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)))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) 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)))))))
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) 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)))))))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (* (PI) (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) 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)))
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(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)) (*.f32 s s))) (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s)))
(- (+ 2 (* -1 (/ (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)))))
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))
2
#s(literal 2 binary32)
(+ 2 (* 4 (/ (- (* -1/2 (* u (PI))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(+ 2 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) s) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) s))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)))) (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.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)) s) (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)) (/.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) s))) (/.f32 (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) #s(literal 0 binary32)) s)) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) s) (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) s))
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(/ (PI) s)
(/.f32 (PI.f32) s)
(exp (* -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)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (PI) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(+ 1 (* -1 (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s)) s))
(+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (PI.f32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) s)) s))

eval413.0ms (2.4%)

Memory
-5.0MiB live, 859.3MiB allocated
Compiler

Compiled 145 182 to 13 862 computations (90.5% saved)

prune394.0ms (2.3%)

Memory
16.6MiB live, 914.0MiB allocated
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New2 755292 784
Fresh7916
Picked325
Done011
Total2 765412 806
Accuracy
99.2%
Counts
2 806 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.7%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
0.8%
(*.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (neg.f32 s)) (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))))
39.9%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (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))))
38.7%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (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))))
0.8%
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s 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))))
60.7%
(*.f32 (/.f32 (*.f32 s s) (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))))
3.4%
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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))))
92.6%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
11.3%
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
44.4%
(*.f32 (*.f32 (neg.f32 s) (*.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
0.8%
(*.f32 (neg.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))))
11.3%
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
11.1%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
14.6%
(*.f32 (neg.f32 s) (log1p.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s s)))))
98.8%
(*.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) (/.f32 #s(literal 1 binary32) (exp.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))) (+.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.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) (/.f32 #s(literal 1 binary32) (exp.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) (/.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
4.0%
(*.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) (-.f32 #s(literal 1 binary32) (/.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
92.9%
(*.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) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
96.8%
(*.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.5%
(*.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 (neg.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.5%
(*.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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
94.6%
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
92.6%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
94.6%
(*.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 (PI.f32) s)))))) #s(literal 1 binary32))))
84.7%
(*.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 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) #s(literal 1 binary32))))
98.9%
(*.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) (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 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 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 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))))
94.9%
(*.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) (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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
98.9%
(*.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) (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))))
37.7%
(*.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) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
37.2%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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) (/.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 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32))))
97.7%
(*.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 (+.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) (/.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))))
9.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))))
3.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 (PI.f32) u))) #s(literal 1 binary32))))
14.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) s) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) s))))
25.8%
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
10.3%
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
11.3%
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
11.1%
(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
11.1%
(neg.f32 (PI.f32))
Compiler

Compiled 3 537 to 1 916 computations (45.8% saved)

simplify410.0ms (2.4%)

Memory
1.6MiB live, 627.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
cost-diff64
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))
cost-diff64
(*.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-diff128
(+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
cost-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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
cost-diff64
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))
cost-diff64
(*.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s))))))
cost-diff352
(+.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))
cost-diff64
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))))))
cost-diff256
(+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))))
cost-diff256
(+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))
cost-diff1088
(+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 (PI.f32) s)
cost-diff0
(neg.f32 s)
cost-diff128
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
cost-diff64
(*.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-diff6464
(pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
cost-diff6464
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
cost-diff6464
(*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
Rules
9 966×accelerator-lowering-fma.f32
9 966×accelerator-lowering-fma.f64
4 446×*-lowering-*.f32
4 446×*-lowering-*.f64
3 014×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142333
13001937
210431823
337331773
447711713
081021594
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 (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (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 (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))
(+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))
(pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))
(* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3))
(pow (pow (exp 2/3) 1/3) 3)
(pow (exp 2/3) 1/3)
(exp 2/3)
2/3
1/3
3
(pow (pow (exp 1/3) 1/3) 3)
(pow (exp 1/3) 1/3)
(exp 1/3)
(* (neg s) (/ (PI) s))
(neg s)
s
(/ (PI) s)
(PI)
(- (* -4 (* (PI) (+ (* -1/2 u) 1/4))) (/ (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s))
(* -4 (* (PI) (+ (* -1/2 u) 1/4)))
-4
(* (PI) (+ (* -1/2 u) 1/4))
(PI)
(+ (* -1/2 u) 1/4)
(* -1/2 u)
-1/2
u
1/4
(/ (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s)
(+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))
(/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s)
(* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))
-1/6
(+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))
(* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0)))
-24
(* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))
(+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0)
(* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
-8
(* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))
0
(+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0))))
-6
(+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))
(* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4)
(+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0)))
(* (* (PI) (* (PI) (PI))) 1/48)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/48
(* 1/2 (* (PI) 0))
1/2
(* (PI) 0)
(* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0))
(+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)
(+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0)
(* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))
-2
(* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))
-128
(* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
s
(* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))
(+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))
(* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
-16
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(- (/ (* (* (PI) (PI)) -1/2) s) (PI))
(/ (* (* (PI) (PI)) -1/2) s)
(* (* (PI) (PI)) -1/2)
(* (PI) (PI))
-1/2
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) 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 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))
(+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
(+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))
(/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)
(+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))
(/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(/ (* (* (PI) (* (PI) (PI))) 1/6) s)
(* (* (PI) (* (PI) (PI))) 1/6)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/6
(* (PI) (* (PI) 1/2))
(* (PI) 1/2)
1/2
Outputs
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.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) 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 (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.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 (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)
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#s(literal 1 binary32)
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u
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(/ (neg (PI)) s)
(/.f32 (PI.f32) (neg.f32 s))
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(PI.f32)
(/ 1 (+ 1 (exp (/ (PI) s))))
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(exp (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(/ (PI) s)
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(pow (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3))
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(pow (pow (exp 2/3) 1/3) 3)
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(pow (exp 2/3) 1/3)
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(exp 2/3)
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2/3
#s(literal 2/3 binary32)
1/3
#s(literal 1/3 binary32)
3
#s(literal 3 binary32)
(pow (pow (exp 1/3) 1/3) 3)
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(pow (exp 1/3) 1/3)
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32))
(exp 1/3)
(exp.f32 #s(literal 1/3 binary32))
(* (neg s) (/ (PI) s))
(neg.f32 (PI.f32))
(neg s)
(neg.f32 s)
s
(/ (PI) s)
(/.f32 (PI.f32) s)
(PI)
(PI.f32)
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#s(literal -4 binary32)
(* (PI) (+ (* -1/2 u) 1/4))
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(PI)
(PI.f32)
(+ (* -1/2 u) 1/4)
(+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
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#s(literal -1/2 binary32)
u
1/4
#s(literal 1/4 binary32)
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-1/6
#s(literal -1/6 binary32)
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#s(literal -24 binary32)
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#s(literal -8 binary32)
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0
#s(literal 0 binary32)
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#s(literal -6 binary32)
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#s(literal 1/48 binary32)
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#s(literal -2 binary32)
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#s(literal -128 binary32)
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s
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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(* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
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#s(literal -16 binary32)
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(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1))
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1
#s(literal 1 binary32)
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(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
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u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))
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(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
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(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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (PI.f32) s) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) s)))) #s(literal 2 binary32)))
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(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
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(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(/.f32 (*.f32 (PI.f32) (-.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s) #s(literal 1 binary32))) s)
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(*.f32 (PI.f32) (-.f32 (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s) #s(literal 1 binary32)))
(/ (* (* (PI) (PI)) -1/2) s)
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/2 binary32))) s)
(* (* (PI) (PI)) -1/2)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/2 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
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#s(literal -1/2 binary32)
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(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.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))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 1/6 binary32)) s))) s))) s) #s(literal 2 binary32))))) #s(literal -1 binary32)))
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(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))))
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1
#s(literal 1 binary32)
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(* 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))))
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(+ 1 (exp (/ (neg (PI)) s)))
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(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 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))
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(+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
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(/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)
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(+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s))
(*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 1/6 binary32)) s))) s)))
(/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)
(/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 1/6 binary32)) s))) s)
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 1/6 binary32)) s)))
(/ (* (* (PI) (* (PI) (PI))) 1/6) s)
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32)))) s)
(* (* (PI) (* (PI) (PI))) 1/6)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
1/6
#s(literal 1/6 binary32)
(* (PI) (* (PI) 1/2))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* (PI) 1/2)
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)

localize884.0ms (5.2%)

Memory
-15.0MiB live, 1 591.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy97.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))))
accuracy96.9%
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.0%
(/.f32 (neg.f32 (PI.f32)) s)
accuracy98.8%
(/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s)
accuracy97.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.2%
(+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))
accuracy96.9%
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy52.5%
(+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))
accuracy100.0%
(neg.f32 s)
accuracy100.0%
(PI.f32)
accuracy99.0%
(/.f32 (PI.f32) s)
accuracy99.0%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
accuracy96.9%
(*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
accuracy96.9%
(exp.f32 #s(literal 2/3 binary32))
accuracy95.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
accuracy95.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
Samples
538.0ms256×1valid
Compiler

Compiled 2 804 to 116 computations (95.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-mult: 100.0ms (22.7% of total)
ival-add: 75.0ms (17% of total)
ival-pow: 57.0ms (12.9% of total)
ival-div: 54.0ms (12.3% of total)
adjust: 34.0ms (7.7% of total)
...in/eval/compile.rkt:111:19: 34.0ms (7.7% of total)
ival-exp: 26.0ms (5.9% of total)
ival-sub: 21.0ms (4.8% of total)
ival-log: 18.0ms (4.1% of total)
ival-pi: 7.0ms (1.6% of total)
ival-cbrt: 7.0ms (1.6% of total)
ival-neg: 4.0ms (0.9% of total)
...in/eval/compile.rkt:110:19: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series158.0ms (0.9%)

Memory
8.2MiB live, 167.6MiB allocated
Counts
29 → 312
Calls
Call 1
Inputs
#<alt (* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3))>
#<alt (pow (pow (exp 2/3) 1/3) 3)>
#<alt (pow (pow (exp 1/3) 1/3) 3)>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (* (neg s) (/ (PI) s))>
#<alt (neg s)>
#<alt (/ (PI) s)>
#<alt (PI)>
#<alt (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))>
#<alt (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))>
#<alt (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))>
#<alt (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))>
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))>
#<alt (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))>
#<alt (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))>
#<alt (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))>
#<alt (exp 2/3)>
#<alt (* (PI) (PI))>
#<alt (* (* (PI) (* (PI) (PI))) 1/48)>
#<alt (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))>
#<alt (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))>
#<alt (/ (* (* (PI) (PI)) -1/2) s)>
#<alt (/ (neg (PI)) s)>
#<alt (* (PI) (* (PI) 1/2))>
#<alt (* (* (PI) (* (PI) (PI))) 1/6)>
#<alt (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))>
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 (* -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 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
#<alt (/ (PI) s)>
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#<alt (+ (* -1 (* s (log (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))))) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 2))) (* 2 (/ (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))))) (+ (* -2 (/ (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 3))) (* 6 (/ (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 2)))))))))) (/ (* s (* (pow (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))>
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (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 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (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 (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))))>
#<alt (* -1 (* s (log -1)))>
#<alt (+ (* -1 (* s (log -1))) (/ 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 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (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)))>
#<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 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (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 (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 2 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))>
#<alt (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))>
#<alt (+ (* -3/2 (* u (pow (PI) 3))) (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))))>
#<alt (+ (* -1/12 (pow (PI) 3)) (+ (* 1/4 (pow (PI) 3)) (* u (+ (* -3/2 (pow (PI) 3)) (* 3 (* u (pow (PI) 3)))))))>
#<alt (+ (* -1/12 (pow (PI) 3)) (+ (* 1/4 (pow (PI) 3)) (* u (+ (* -3/2 (pow (PI) 3)) (* u (+ (* -2 (* u (pow (PI) 3))) (* 3 (pow (PI) 3))))))))>
#<alt (* -2 (* (pow u 3) (pow (PI) 3)))>
#<alt (* (pow u 3) (+ (* -2 (pow (PI) 3)) (* 3 (/ (pow (PI) 3) u))))>
#<alt (* (pow u 3) (+ (* -2 (pow (PI) 3)) (+ (* -3/2 (/ (pow (PI) 3) (pow u 2))) (* 3 (/ (pow (PI) 3) u)))))>
#<alt (* (pow u 3) (+ (* -2 (pow (PI) 3)) (+ (* -3/2 (/ (pow (PI) 3) (pow u 2))) (+ (* -1/12 (/ (pow (PI) 3) (pow u 3))) (+ (* 1/4 (/ (pow (PI) 3) (pow u 3))) (* 3 (/ (pow (PI) 3) u)))))))>
#<alt (* -2 (* (pow u 3) (pow (PI) 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -3 (/ (pow (PI) 3) u)) (* 2 (pow (PI) 3)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -3/2 (/ (pow (PI) 3) u)) (* 3 (pow (PI) 3))) u)) (* 2 (pow (PI) 3)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))) u)) (* 3/2 (pow (PI) 3))) u)) (* 3 (pow (PI) 3))) u)) (* 2 (pow (PI) 3)))))>
#<alt (* 2 (/ (pow s 2) (pow (PI) 2)))>
#<alt (* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt (* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt (* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 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)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) 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 (* 6 (/ (pow s 3) (pow (PI) 3)))>
#<alt (* (pow s 3) (+ (* -18 (/ s (pow (PI) 4))) (* 6 (/ 1 (pow (PI) 3)))))>
#<alt (* (pow s 3) (+ (* s (- (* 18 (/ s (pow (PI) 5))) (* 18 (/ 1 (pow (PI) 4))))) (* 6 (/ 1 (pow (PI) 3)))))>
#<alt (* (pow s 3) (+ (* s (- (* s (+ (* -18 (/ s (pow (PI) 6))) (* 18 (/ 1 (pow (PI) 5))))) (* 18 (/ 1 (pow (PI) 4))))) (* 6 (/ 1 (pow (PI) 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -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)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 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)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (pow (PI) 3) s)) (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))>
Calls

78 calls:

TimeVariablePointExpression
65.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
8.0ms
u
@inf
(+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))
8.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))
4.0ms
u
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))
4.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))

rewrite404.0ms (2.4%)

Memory
12.4MiB live, 844.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 348×*-lowering-*.f32
4 348×*-lowering-*.f64
4 248×accelerator-lowering-fma.f32
4 248×accelerator-lowering-fma.f64
2 686×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103593
1700480
27300480
08486454
Stop Event
iter limit
node limit
Counts
29 → 578
Calls
Call 1
Inputs
(* (pow (pow (exp 2/3) 1/3) 3) (pow (pow (exp 1/3) 1/3) 3))
(pow (pow (exp 2/3) 1/3) 3)
(pow (pow (exp 1/3) 1/3) 3)
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(* (neg s) (/ (PI) s))
(neg s)
(/ (PI) s)
(PI)
(+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))
(+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* -6 (+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))) (* -128 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) 1)))
(+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2)))
(+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s)))))) 1)))
(exp 2/3)
(* (PI) (PI))
(* (* (PI) (* (PI) (PI))) 1/48)
(+ (* (+ (* (* (PI) (* (PI) (PI))) 1/48) (* 1/2 (* (PI) 0))) -4) (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) 0) 0)))
(/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(/ (* (* (PI) (PI)) -1/2) s)
(/ (neg (PI)) s)
(* (PI) (* (PI) 1/2))
(* (* (PI) (* (PI) (PI))) 1/6)
(/ 1 (+ 1 (+ 1 (/ (+ (PI) (/ (+ (/ (* (* (PI) (* (PI) (PI))) 1/6) s) (* (PI) (* (PI) 1/2))) s)) s))))
Outputs
(exp.f32 #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (*.f32 (exp.f32 #s(literal 4/9 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/9 binary32)) (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (exp.f32 #s(literal 4/9 binary32)) (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (exp.f32 #s(literal 1/6 binary32)) (*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3/2 binary32)) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3/2 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s))
(*.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s)))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (PI.f32) (PI.f32)))
(neg.f32 (/.f32 (PI.f32) s))
(pow.f32 (/.f32 s (neg.f32 (PI.f32))) #s(literal -1 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 (PI.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 (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.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 #s(literal -1 binary32) (/.f32 (PI.f32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (PI.f32)))
(neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))))
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(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal -1/2 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/6 binary32))) (PI.f32))
(*.f32 (*.f32 #s(literal 1/6 binary32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s))))) (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))

simplify569.0ms (3.3%)

Memory
22.6MiB live, 1 294.3MiB allocated
Algorithm
egg-herbie
Rules
7 750×accelerator-lowering-fma.f32
7 750×accelerator-lowering-fma.f64
6 520×+-lowering-+.f64
6 520×+-lowering-+.f32
4 996×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139215619
1455313248
0841512295
Stop Event
iter limit
node limit
Counts
312 → 312
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))
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(* -2 (* (pow u 3) (pow (PI) 3)))
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(/ (- (* s (PI)) (* -1/2 (pow (PI) 2))) (pow s 2))
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(/ (- (* s (+ (PI) (* 2 s))) (* -1/2 (pow (PI) 2))) (pow s 2))
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(/ (- (* s (+ (PI) (* 2 s))) (* -1/2 (pow (PI) 2))) (pow s 2))
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2
#s(literal 2 binary32)
(+ 2 (/ (PI) s))
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(- (+ 2 (* 1/2 (/ (pow (PI) 2) (pow s 2)))) (* -1 (/ (PI) s)))
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(- (+ 2 (* 1/2 (/ (pow (PI) 2) (pow s 2)))) (* -1 (/ (PI) s)))
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2
#s(literal 2 binary32)
(+ 2 (/ (PI) s))
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(+ 2 (* -1 (/ (- (* -1/2 (/ (pow (PI) 2) s)) (PI)) s)))
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(+ 2 (* -1 (/ (- (* -1/2 (/ (pow (PI) 2) s)) (PI)) s)))
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(* -1 (* s (log (- (+ (/ 1 u) (/ (exp (* -1 (/ (PI) s))) u)) 1))))
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(+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
(+ (* -3/2 (* u (pow (PI) 3))) (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -3/2 binary32) u)))
(+ (* -1/12 (pow (PI) 3)) (+ (* 1/4 (pow (PI) 3)) (* u (+ (* -3/2 (pow (PI) 3)) (* 3 (* u (pow (PI) 3)))))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (*.f32 #s(literal 3 binary32) u)))))
(+ (* -1/12 (pow (PI) 3)) (+ (* 1/4 (pow (PI) 3)) (* u (+ (* -3/2 (pow (PI) 3)) (* u (+ (* -2 (* u (pow (PI) 3))) (* 3 (pow (PI) 3))))))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (*.f32 u (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -2 binary32) u)))))))
(* -2 (* (pow u 3) (pow (PI) 3)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u (*.f32 u u))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u 3) (+ (* -2 (pow (PI) 3)) (* 3 (/ (pow (PI) 3) u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) u)))
(* (pow u 3) (+ (* -2 (pow (PI) 3)) (+ (* -3/2 (/ (pow (PI) 3) (pow u 2))) (* 3 (/ (pow (PI) 3) u)))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) u) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 u u)))))
(* (pow u 3) (+ (* -2 (pow (PI) 3)) (+ (* -3/2 (/ (pow (PI) 3) (pow u 2))) (+ (* -1/12 (/ (pow (PI) 3) (pow u 3))) (+ (* 1/4 (/ (pow (PI) 3) (pow u 3))) (* 3 (/ (pow (PI) 3) u)))))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 u u))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u (*.f32 u u))) #s(literal 1/6 binary32))) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) u)))
(* -2 (* (pow u 3) (pow (PI) 3)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u (*.f32 u u))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* -1 (* (pow u 3) (+ (* -3 (/ (pow (PI) 3) u)) (* 2 (pow (PI) 3)))))
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) u) #s(literal -3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -3/2 (/ (pow (PI) 3) u)) (* 3 (pow (PI) 3))) u)) (* 2 (pow (PI) 3)))))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) u) #s(literal -3/2 binary32))) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (pow (PI) 3)) (* 1/4 (pow (PI) 3))) u)) (* 3/2 (pow (PI) 3))) u)) (* 3 (pow (PI) 3))) u)) (* 2 (pow (PI) 3)))))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) u)) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))
(* 2 (/ (pow s 2) (pow (PI) 2)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 (PI.f32) (PI.f32)))
(* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2)))))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (+.f32 (/.f32 (*.f32 #s(literal 16 binary32) (*.f32 s s)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (/.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (+.f32 (*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 16 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (/.f32 (*.f32 #s(literal -32 binary32) s) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (PI) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))
(-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 0 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (PI) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/16 binary32)) s) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) s)) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) s))
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* -1 (/ (PI) s))
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(* 6 (/ (pow s 3) (pow (PI) 3)))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (pow s 3) (+ (* -18 (/ s (pow (PI) 4))) (* 6 (/ 1 (pow (PI) 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) s) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(* (pow s 3) (+ (* s (- (* 18 (/ s (pow (PI) 5))) (* 18 (/ 1 (pow (PI) 4))))) (* 6 (/ 1 (pow (PI) 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 s (+.f32 (/.f32 (*.f32 #s(literal 18 binary32) s) (pow.f32 (PI.f32) #s(literal 5 binary32))) (/.f32 #s(literal -18 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(* (pow s 3) (+ (* s (- (* s (+ (* -18 (/ s (pow (PI) 6))) (* 18 (/ 1 (pow (PI) 5))))) (* 18 (/ 1 (pow (PI) 4))))) (* 6 (/ 1 (pow (PI) 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 s (+.f32 (*.f32 s (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) s) (pow.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 18 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (/.f32 #s(literal -18 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (PI) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -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)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))
(-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 0 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (PI) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (pow (PI) 3) s)) (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal 1/48 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) s)) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) s))

eval733.0ms (4.3%)

Memory
5.2MiB live, 1 240.0MiB allocated
Compiler

Compiled 201 700 to 15 819 computations (92.2% saved)

prune871.0ms (5.1%)

Memory
-7.5MiB live, 1 071.8MiB allocated
Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New2 043292 072
Fresh122133
Picked415
Done033
Total2 059542 113
Accuracy
99.2%
Counts
2 113 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
11.1%
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
11.1%
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
5.5%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 #s(literal -128 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/12 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 16 binary32)) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))))) (*.f32 (*.f32 #s(literal 192 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) s) s))
4.2%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
5.3%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
4.5%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
4.8%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (*.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 -2 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 21 binary32))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
4.0%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
6.4%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
4.1%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32))) s) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -3 binary32))) #s(literal 0 binary32)) u)) u)))) s))
0.8%
(*.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (neg.f32 s)) (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))))
34.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 s #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
13.8%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
56.7%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
39.9%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
0.8%
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s 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))))
92.6%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
11.3%
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
44.4%
(*.f32 (*.f32 (neg.f32 s) (*.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
11.1%
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
0.8%
(*.f32 (neg.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))))
11.3%
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
11.1%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
11.1%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
11.1%
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
14.6%
(*.f32 (neg.f32 s) (log1p.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 s s)))))
11.5%
(*.f32 (neg.f32 s) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))) (+.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 s s))))))
92.8%
(*.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 3 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))))))) #s(literal 1 binary32))))
92.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))))) #s(literal 1 binary32))))
92.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
84.7%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) #s(literal 1 binary32))))
96.8%
(*.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.5%
(*.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 (neg.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
97.5%
(*.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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
94.6%
(*.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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
94.6%
(*.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 (PI.f32) s)))))) #s(literal 1 binary32))))
94.9%
(*.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) (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 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))))
98.9%
(*.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) (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 (*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 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 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))))
98.9%
(*.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) (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))))
37.7%
(*.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) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
92.9%
(*.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (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 (+.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) (/.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))))
9.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))))
3.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 (PI.f32) u))) #s(literal 1 binary32))))
14.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) s) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) s))))
97.8%
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
25.8%
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
10.3%
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
11.1%
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
94.4%
(*.f32 s (-.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 u u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
11.3%
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
11.1%
(neg.f32 (PI.f32))
Compiler

Compiled 5 065 to 2 540 computations (49.9% saved)

simplify367.0ms (2.2%)

Memory
-20.7MiB live, 822.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
cost-diff64
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))
cost-diff64
(*.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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s))))))
cost-diff64
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))))))
cost-diff320
(+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))
cost-diff704
(+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))
cost-diff1088
(+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))))
cost-diff64
(*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))))
cost-diff64
(/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s)
cost-diff64
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32)))
cost-diff384
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 s (PI.f32))
cost-diff0
(neg.f32 s)
cost-diff128
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
cost-diff64
(*.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-diff3232
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32))
cost-diff6464
(pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
cost-diff6464
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
Rules
10 130×accelerator-lowering-fma.f32
10 130×accelerator-lowering-fma.f64
5 994×*-lowering-*.f32
5 994×*-lowering-*.f64
2 614×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01182287
13482127
213011734
351611542
463771537
083551425
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 (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (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 (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))
(+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))
(pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))
(* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3))
(pow (exp 1/3) 2)
(exp 1/3)
1/3
2
(pow (pow (exp 1/3) 1/3) 3)
(pow (exp 1/3) 1/3)
3
(/ (neg s) (/ s (PI)))
(neg s)
s
(/ s (PI))
(PI)
(- (* -4 (* (PI) (+ (* -1/2 u) 1/4))) (/ (+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)) s))
(* -4 (* (PI) (+ (* -1/2 u) 1/4)))
-4
(* (PI) (+ (* -1/2 u) 1/4))
(PI)
(+ (* -1/2 u) 1/4)
(* -1/2 u)
-1/2
u
1/4
(/ (+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)) s)
(+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0))
(/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s)
(* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6))))
-1/6
(+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* -6 (* (* (PI) (* (PI) (PI))) 1/6))
-6
(* (* (PI) (* (PI) (PI))) 1/6)
1/6
s
(+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)
(* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0))
(+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)
(* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s))
(/ (* 3 (* (PI) (* (PI) (PI)))) s)
(* 3 (* (PI) (* (PI) (PI))))
3
0
(- (* -4 (* (PI) (+ (* -1/2 u) 1/4))) (/ (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s))
(* -4 (* (PI) (+ (* -1/2 u) 1/4)))
-4
(* (PI) (+ (* -1/2 u) 1/4))
(PI)
(+ (* -1/2 u) 1/4)
(* -1/2 u)
-1/2
u
1/4
(/ (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))) s)
(+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))
(/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s)
(* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))))))
-1/6
(+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))
(* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0)))
-24
(* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))
(+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0)
(* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
-8
(* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))
0
(+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))))
(* (* (PI) (* (* (PI) (PI)) 1/48)) 24)
(* (PI) (* (* (PI) (PI)) 1/48))
(* (* (PI) (PI)) 1/48)
(* (PI) (PI))
1/48
24
(+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))
(* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16)))
(* -6 (PI))
-6
(* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))
(+ (* u -1/2) 1/4)
(* u -1/2)
(* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16)
(* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))
(* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))
(* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))
16
(* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))
(* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI)))
(* (* -128 (PI)) (+ (* u -1/2) 1/4))
(* -128 (PI))
-128
s
(* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))))
1/2
(+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))
-2
(+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))))
(* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))
-16
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(neg s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))
1
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(- (/ (* (* (PI) (PI)) -1/2) s) (PI))
(/ (* (* (PI) (PI)) -1/2) s)
(* (* (PI) (PI)) -1/2)
(* (PI) (PI))
-1/2
(/ 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 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(neg s)
(neg.f32 s)
s
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))) 1)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.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 #s(literal 0 binary32) (/.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 (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))))
(+.f32 (+.f32 (/.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 #s(literal 0 binary32) (/.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 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.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 (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))
(+ 1 (pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))
(pow (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3)) (/ (PI) s))
(exp.f32 (/.f32 (PI.f32) s))
(* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3))
(E.f32)
(pow (exp 1/3) 2)
(exp.f32 #s(literal 2/3 binary32))
(exp 1/3)
(exp.f32 #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
2
#s(literal 2 binary32)
(pow (pow (exp 1/3) 1/3) 3)
(exp.f32 #s(literal 1/3 binary32))
(pow (exp 1/3) 1/3)
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32))
3
#s(literal 3 binary32)
(/ (neg s) (/ s (PI)))
(neg.f32 (PI.f32))
(neg s)
(neg.f32 s)
s
(/ s (PI))
(/.f32 s (PI.f32))
(PI)
(PI.f32)
(- (* -4 (* (PI) (+ (* -1/2 u) 1/4))) (/ (+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)) s))
(+.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal -4 binary32)))) (/.f32 (*.f32 u (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s))) s))
(* -4 (* (PI) (+ (* -1/2 u) 1/4)))
(*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal -4 binary32))))
-4
#s(literal -4 binary32)
(* (PI) (+ (* -1/2 u) 1/4))
(*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))
(PI)
(PI.f32)
(+ (* -1/2 u) 1/4)
(+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
u
1/4
#s(literal 1/4 binary32)
(/ (+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)) s)
(/.f32 (/.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s)
(+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0))
(/.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s)
(/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s)
#s(literal 0 binary32)
(* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6))))
#s(literal 0 binary32)
-1/6
#s(literal -1/6 binary32)
(+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))
#s(literal 0 binary32)
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* -6 (* (* (PI) (* (PI) (PI))) 1/6))
(*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))
-6
#s(literal -6 binary32)
(* (* (PI) (* (PI) (PI))) 1/6)
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
1/6
#s(literal 1/6 binary32)
s
(+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0)
(/.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s)
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(/.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s)
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#s(literal -16 binary32)
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (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 -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (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 -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) #s(literal -1 binary32)))
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (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 -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) #s(literal -1 binary32))
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (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 -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))))
1
#s(literal 1 binary32)
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (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 -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
(+.f32 (/.f32 u (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))
u
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))))
(/ 1 (+ 1 (exp (/ (neg (PI)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))
(+ 1 (exp (/ (neg (PI)) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))
(exp (/ (neg (PI)) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(/ (neg (PI)) s)
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))
(neg (PI))
(neg.f32 (PI.f32))
(PI)
(PI.f32)
(/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s)))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))
(- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s))
(/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)
(/.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))) s)
(- (/ (* (* (PI) (PI)) -1/2) s) (PI))
(*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s)))
(/ (* (* (PI) (PI)) -1/2) s)
(*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) s))
(* (* (PI) (PI)) -1/2)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/2 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
-1/2
#s(literal -1/2 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)

localize884.0ms (5.2%)

Memory
25.4MiB live, 1 838.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(/.f32 (PI.f32) s)
accuracy98.8%
(/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s)
accuracy97.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.4%
(*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))
accuracy96.9%
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy52.5%
(+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))
accuracy97.4%
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s))
accuracy96.9%
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy96.9%
(*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))
accuracy100.0%
(neg.f32 s)
accuracy100.0%
(PI.f32)
accuracy99.2%
(/.f32 s (PI.f32))
accuracy99.0%
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
accuracy96.9%
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32))
accuracy96.9%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
accuracy95.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
accuracy95.0%
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32))
Samples
543.0ms256×1valid
Compiler

Compiled 2 421 to 120 computations (95% saved)

Precisions
Click to see histograms. Total time spent on operations: 455.0ms
ival-mult: 130.0ms (28.6% of total)
ival-div: 100.0ms (22% of total)
ival-add: 49.0ms (10.8% of total)
ival-pow: 44.0ms (9.7% of total)
adjust: 35.0ms (7.7% of total)
...in/eval/compile.rkt:111:19: 30.0ms (6.6% of total)
ival-exp: 18.0ms (4% of total)
ival-sub: 18.0ms (4% of total)
ival-log: 12.0ms (2.6% of total)
ival-pow2: 5.0ms (1.1% of total)
ival-cbrt: 4.0ms (0.9% of total)
ival-neg: 4.0ms (0.9% of total)
...in/eval/compile.rkt:110:19: 3.0ms (0.7% of total)
ival-pi: 2.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.3%)

Memory
5.3MiB live, 85.9MiB allocated
Counts
29 → 276
Calls
Call 1
Inputs
#<alt (* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3))>
#<alt (pow (pow (exp 1/3) 1/3) 3)>
#<alt (pow (exp 1/3) 2)>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))>
#<alt (/ (neg s) (/ s (PI)))>
#<alt (neg s)>
#<alt (/ s (PI))>
#<alt (PI)>
#<alt (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))>
#<alt (+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0))>
#<alt (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s)>
#<alt (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6))))>
#<alt (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))>
#<alt (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))>
#<alt (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))>
#<alt (+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))>
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))>
#<alt (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))>
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))>
#<alt (pow (exp 1/3) 1/3)>
#<alt (* -6 (* (* (PI) (* (PI) (PI))) 1/6))>
#<alt (* (PI) (PI))>
#<alt (* (* (PI) (* (PI) (PI))) 1/6)>
#<alt (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s))>
#<alt (* (* (PI) (* (* (PI) (PI)) 1/48)) 24)>
#<alt (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))>
#<alt (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))>
#<alt (/ (* (* (PI) (PI)) -1/2) s)>
#<alt (/ (PI) s)>
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))>
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#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* -1/2 (/ (pow (PI) 3) s))>
#<alt (* 1/16 (pow (PI) 2))>
#<alt (+ (* -1/4 (* u (pow (PI) 2))) (* 1/16 (pow (PI) 2)))>
#<alt (+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2))))))>
#<alt (+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2))))))>
#<alt (* 1/4 (* (pow u 2) (pow (PI) 2)))>
#<alt (* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))))>
#<alt (* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2)))))>
#<alt (* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2)))))>
#<alt (* 1/4 (* (pow u 2) (pow (PI) 2)))>
#<alt (* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2))))>
#<alt (* 2 (/ (pow s 2) (pow (PI) 2)))>
#<alt (* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt (* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt (* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 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)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) s))>
#<alt (* -1/2 (/ (pow (PI) 2) 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)>
Calls

69 calls:

TimeVariablePointExpression
6.0ms
s
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
5.0ms
s
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (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 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
3.0ms
u
@0
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
2.0ms
u
@inf
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))

rewrite462.0ms (2.7%)

Memory
21.5MiB live, 704.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 716×*-lowering-*.f32
4 716×*-lowering-*.f64
4 706×accelerator-lowering-fma.f32
4 706×accelerator-lowering-fma.f64
2 442×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104498
1692425
27135425
08154394
Stop Event
iter limit
node limit
Counts
29 → 639
Calls
Call 1
Inputs
(* (pow (exp 1/3) 2) (pow (pow (exp 1/3) 1/3) 3))
(pow (pow (exp 1/3) 1/3) 3)
(pow (exp 1/3) 2)
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))
(/ (neg s) (/ s (PI)))
(neg s)
(/ s (PI))
(PI)
(+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))
(+ (/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s) (+ (* u (+ (* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s)) 0)) 0))
(/ (* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6)))) s)
(* -1/6 (+ (* (PI) (* (PI) (PI))) (* -6 (* (* (PI) (* (PI) (PI))) 1/6))))
(+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))
(+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))
(+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))
(+ (/ (* -1/6 (+ (* -24 (* (* (PI) (+ (* -1/2 u) 1/4)) (+ (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))) 0))) (+ (* (* (PI) (* (* (PI) (PI)) 1/48)) 24) (+ (* (* -6 (PI)) (* (+ (* u -1/2) 1/4) (* (* (PI) (* (PI) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4)))) 16))) (* (* (* (* -128 (PI)) (+ (* u -1/2) 1/4)) (* (PI) (PI))) (* (+ (* u -1/2) 1/4) (+ (* u -1/2) 1/4))))))) s) (* 1/2 (+ (* -2 (* -8 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))) (+ 0 (* -16 (* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4))))))))
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))))
(+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))
(pow (exp 1/3) 1/3)
(* -6 (* (* (PI) (* (PI) (PI))) 1/6))
(* (PI) (PI))
(* (* (PI) (* (PI) (PI))) 1/6)
(* -1/6 (/ (* 3 (* (PI) (* (PI) (PI)))) s))
(* (* (PI) (* (* (PI) (PI)) 1/48)) 24)
(* (* (PI) (+ (* -1/2 u) 1/4)) (* (PI) (+ (* -1/2 u) 1/4)))
(/ 1 (+ 1 (- 1 (/ (- (/ (* (* (PI) (PI)) -1/2) s) (PI)) s))))
(/ (* (* (PI) (PI)) -1/2) s)
(/ (PI) s)
Outputs
(exp.f32 #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3 binary32))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/9 binary32)) (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (exp.f32 #s(literal 1/6 binary32)) (*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 2/3 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 1/6 binary32))) (*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 1/6 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 1/3 binary32))) (*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/9 binary32))) (exp.f32 #s(literal 2/9 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 2/9 binary32))) (exp.f32 #s(literal 1/9 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/6 binary32))) (exp.f32 #s(literal 1/6 binary32)))
(exp.f32 #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/9 binary32)) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 2/9 binary32)) #s(literal 3/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/6 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 2/9 binary32)))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 1/9 binary32)))
(*.f32 (exp.f32 #s(literal 1/18 binary32)) (*.f32 (exp.f32 #s(literal 1/18 binary32)) (exp.f32 #s(literal 2/9 binary32))))
(*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/18 binary32)) #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 1/18 binary32)) #s(literal 3 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 1/18 binary32)) (exp.f32 #s(literal 1/9 binary32))) (*.f32 (exp.f32 #s(literal 1/18 binary32)) (exp.f32 #s(literal 1/9 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 1/18 binary32))) (*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 1/18 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 1/18 binary32))) (exp.f32 #s(literal 1/18 binary32)))
(exp.f32 #s(literal 2/3 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/9 binary32)) #s(literal 6 binary32))
(pow.f32 (exp.f32 #s(literal 2/9 binary32)) #s(literal 3 binary32))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/9 binary32)) (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 2/9 binary32))))
(*.f32 (exp.f32 #s(literal 2/9 binary32)) (*.f32 (exp.f32 #s(literal 1/9 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (exp.f32 #s(literal 1/6 binary32)) (*.f32 (exp.f32 #s(literal 1/6 binary32)) (exp.f32 #s(literal 1/3 binary32))))
(*.f32 (*.f32 (exp.f32 #s(literal 2/9 binary32)) (exp.f32 #s(literal 2/9 binary32))) (exp.f32 #s(literal 2/9 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 1/6 binary32))) (exp.f32 #s(literal 1/6 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 1/9 binary32))) (exp.f32 #s(literal 2/9 binary32)))
(*.f32 (*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 2/9 binary32))) (exp.f32 #s(literal 1/9 binary32)))
(+.f32 (*.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (*.f32 u (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))
(fma.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))
(/.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(/.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) u) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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))) u) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.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))) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u)
(neg.f32 (/.f32 s (/.f32 s (PI.f32))))
(pow.f32 (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s (/.f32 s (PI.f32))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))) (/.f32 s (/.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)) #s(literal 1 binary32)))
(/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32))))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 s (PI.f32)) s))))
(/.f32 (/.f32 s (neg.f32 s)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(/.f32 (*.f32 (neg.f32 s) #s(literal 1 binary32)) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (neg.f32 s) (neg.f32 (PI.f32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 s (-.f32 #s(literal 0 binary32) (/.f32 s (PI.f32)))))
(*.f32 (PI.f32) (/.f32 s (neg.f32 s)))
(*.f32 s (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(*.f32 (/.f32 (PI.f32) s) (neg.f32 s))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(*.f32 #s(literal -1 binary32) (/.f32 s (/.f32 s (PI.f32))))
(*.f32 (/.f32 s (neg.f32 s)) (PI.f32))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 s (/.f32 #s(literal 1 binary32) (PI.f32))))
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(/.f32 (/.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))
(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) (neg.f32 (PI.f32)))

simplify714.0ms (4.2%)

Memory
-18.1MiB live, 1 133.1MiB allocated
Algorithm
egg-herbie
Rules
9 254×accelerator-lowering-fma.f32
9 254×accelerator-lowering-fma.f64
8 026×+-lowering-+.f64
8 026×+-lowering-+.f32
6 624×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104210288
134118003
095097512
Stop Event
iter limit
node limit
Counts
276 → 276
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))
(* -1 (PI))
(* -1 (PI))
(* -1 (PI))
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(/ s (PI))
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(/ s (PI))
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(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(/ (+ (* -1/2 (* u (pow (PI) 3))) (* -1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3)))) s)
(* -1 (/ (+ (* 1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3))) (* 1/2 (* u (pow (PI) 3)))) s))
(* -1 (/ (+ (* 1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3))) (* 1/2 (* u (pow (PI) 3)))) s))
(* -1 (/ (+ (* 1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3))) (* 1/2 (* u (pow (PI) 3)))) s))
(* -1 (/ (+ (* 1/6 (+ (* -1 (pow (PI) 3)) (pow (PI) 3))) (* 1/2 (* u (pow (PI) 3)))) s))
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(+ (* -1/2 (/ (* u (pow (PI) 3)) s)) (* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s)))
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(* -1/2 (/ (* u (pow (PI) 3)) s))
(* u (+ (* -1/2 (/ (pow (PI) 3) s)) (* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u)))))
(* u (+ (* -1/2 (/ (pow (PI) 3) s)) (* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u)))))
(* u (+ (* -1/2 (/ (pow (PI) 3) s)) (* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u)))))
(* -1/2 (/ (* u (pow (PI) 3)) s))
(* -1 (* u (+ (* 1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u))) (* 1/2 (/ (pow (PI) 3) s)))))
(* -1 (* u (+ (* 1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u))) (* 1/2 (/ (pow (PI) 3) s)))))
(* -1 (* u (+ (* 1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) (* s u))) (* 1/2 (/ (pow (PI) 3) s)))))
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(* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s))
(* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s))
(* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s))
(* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s))
(* -1/6 (/ (+ (* -1 (pow (PI) 3)) (pow (PI) 3)) s))
(+ (* -1 (pow (PI) 2)) (pow (PI) 2))
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (pow (PI) 2)))
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2)))
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2)))
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* 4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))))))
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2))))))))
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2))))))))
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2)))))
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2)))))
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2)))))
(+ (* -2 (pow (PI) 3)) (* -3/2 (pow (PI) 3)))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (* u (+ (* 9 (pow (PI) 3)) (* 12 (pow (PI) 3))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (* u (+ (* 9 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* u (+ (* -24 (pow (PI) 3)) (* -18 (pow (PI) 3)))))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (* u (+ (* 9 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* u (+ (* -24 (pow (PI) 3)) (+ (* -18 (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) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))
(* (pow u 3) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* 9 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (pow (PI) 3)) (* 16 (pow (PI) 3))))))))
(* (pow u 3) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* -2 (/ (pow (PI) 3) (pow u 3))) (+ (* -3/2 (/ (pow (PI) 3) (pow u 3))) (+ (* 9 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (/ (pow (PI) 3) (pow u 2))) (+ (* 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 (/ (+ (* -24 (pow (PI) 3)) (* -18 (pow (PI) 3))) u))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* -1 (/ (+ (* -24 (pow (PI) 3)) (+ (* -18 (pow (PI) 3)) (* -1 (/ (+ (* -12 (pow (PI) 3)) (* -9 (pow (PI) 3))) u)))) u))))))
(* -1 (* (pow u 3) (+ (* -16 (pow (PI) 3)) (+ (* -12 (pow (PI) 3)) (* -1 (/ (+ (* -24 (pow (PI) 3)) (+ (* -18 (pow (PI) 3)) (* -1 (/ (+ (* -12 (pow (PI) 3)) (+ (* -9 (pow (PI) 3)) (* -1 (/ (+ (* -2 (pow (PI) 3)) (* -3/2 (pow (PI) 3))) u)))) u)))) u))))))
(+ (* -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 (+ (* -18 (pow (PI) 3)) (+ (* 9 (pow (PI) 3)) (* 12 (pow (PI) 3)))))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -18 (pow (PI) 3)) (+ (* 9 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* u (+ (* -24 (pow (PI) 3)) (+ (* -18 (pow (PI) 3)) (* 36 (pow (PI) 3)))))))))))))
(+ (* -2 (pow (PI) 3)) (+ (* -3/2 (pow (PI) 3)) (+ (* 1/2 (pow (PI) 3)) (+ (* 3 (pow (PI) 3)) (* u (+ (* -18 (pow (PI) 3)) (+ (* 9 (pow (PI) 3)) (+ (* 12 (pow (PI) 3)) (* u (+ (* -24 (pow (PI) 3)) (+ (* -18 (pow (PI) 3)) (+ (* 36 (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) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -24 (pow (PI) 3)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (* 36 (/ (pow (PI) 3) u))))))))
(* (pow u 3) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -24 (pow (PI) 3)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* -18 (/ (pow (PI) 3) (pow u 2))) (+ (* 9 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (* 36 (/ (pow (PI) 3) u)))))))))))
(* (pow u 3) (+ (* -24 (/ (pow (PI) 3) u)) (+ (* -24 (pow (PI) 3)) (+ (* -18 (/ (pow (PI) 3) u)) (+ (* -18 (/ (pow (PI) 3) (pow u 2))) (+ (* -2 (/ (pow (PI) 3) (pow u 3))) (+ (* -3/2 (/ (pow (PI) 3) (pow u 3))) (+ (* 1/2 (/ (pow (PI) 3) (pow u 3))) (+ (* 3 (/ (pow (PI) 3) (pow u 3))) (+ (* 9 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (/ (pow (PI) 3) (pow u 2))) (+ (* 12 (pow (PI) 3)) (+ (* 16 (pow (PI) 3)) (* 36 (/ (pow (PI) 3) u)))))))))))))))
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(* -1 (* s (log -1)))
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))))))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 2)))) u))) u)))
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (- (+ 2 (/ (PI) s)) (* -1/2 (/ (pow (PI) 2) (pow s 2)))))) 3)))))) u))) u))) u)))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* -1/2 (/ (pow (PI) 3) s))
(* 1/16 (pow (PI) 2))
(+ (* -1/4 (* u (pow (PI) 2))) (* 1/16 (pow (PI) 2)))
(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2))))))
(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2))))))
(* 1/4 (* (pow u 2) (pow (PI) 2)))
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))))
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2)))))
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2)))))
(* 1/4 (* (pow u 2) (pow (PI) 2)))
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2))))
(* 2 (/ (pow s 2) (pow (PI) 2)))
(* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2)))))
(* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))
(* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))
1/2
(+ 1/2 (* -1/4 (/ (PI) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))
1/2
(+ 1/2 (* -1/4 (/ (PI) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) s))
(* -1/2 (/ (pow (PI) 2) 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)
Outputs
(* 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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)
(*.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) 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)
(/.f32 (*.f32 u (+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)) (+.f32 (*.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 s)))) 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)
(/.f32 (+.f32 (*.f32 u (+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)) (+.f32 (*.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 s)))) (/.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (PI.f32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)))) (*.f32 (PI.f32) (+.f32 (*.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)))) 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)
(/.f32 (+.f32 (*.f32 u (+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (PI.f32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)))) (*.f32 (PI.f32) (+.f32 (*.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))))) (*.f32 u (+.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)) (+.f32 (*.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 s)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/96 binary32)) #s(literal 0 binary32)))) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/320 binary32)) #s(literal 0 binary32))) (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.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 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/320 binary32)) #s(literal 0 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (+.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/96 binary32)) #s(literal 0 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (+.f32 (*.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))))))))))) (pow.f32 s #s(literal 4 binary32)))))) s)
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))
(/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (neg.f32 s))
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(/ (- (* s (PI)) (* -1/2 (pow (PI) 2))) (pow s 2))
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2
#s(literal 2 binary32)
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(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))
(-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 0 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 0 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (PI) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 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)) (* -1/4 (PI))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s)) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 0 binary32)) s)) #s(literal 0 binary32))) (neg.f32 s)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) s))
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s)
(* -1/2 (/ (pow (PI) 2) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.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)
(/ (PI) s)
(/.f32 (PI.f32) s)

eval401.0ms (2.4%)

Memory
25.9MiB live, 719.3MiB allocated
Compiler

Compiled 181 621 to 13 914 computations (92.3% saved)

prune585.0ms (3.4%)

Memory
-0.3MiB live, 928.1MiB allocated
Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New1 925191 944
Fresh143145
Picked415
Done044
Total1 943551 998
Accuracy
99.2%
Counts
1 998 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.8%
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
11.1%
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
11.1%
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
11.1%
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
11.1%
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
11.1%
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
5.7%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) #s(literal -224 binary32)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 192 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) s) s))
5.5%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 #s(literal -128 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/12 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 16 binary32)) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))))) (*.f32 (*.f32 #s(literal 192 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) s) s))
6.4%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)))) s) s))
4.2%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
5.5%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (-.f32 (*.f32 (+.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) #s(literal 16 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -6 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) #s(literal -128 binary32))) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) (*.f32 (*.f32 #s(literal -8 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 0 binary32)) s))
4.2%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
4.3%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/2 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 21 binary32))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
4.1%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))))))) s))
4.4%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))))))) s))
6.6%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/2 binary32))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
4.2%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
4.0%
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
0.8%
(*.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (neg.f32 s)) (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))))
34.0%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 s #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
58.6%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
39.9%
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
0.8%
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s 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))))
92.6%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
11.3%
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
44.4%
(*.f32 (*.f32 (neg.f32 s) (*.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
11.1%
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
0.8%
(*.f32 (neg.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))))
11.3%
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
11.1%
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
11.1%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
11.1%
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
14.6%
(*.f32 (neg.f32 s) (log1p.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 s s)))))
11.5%
(*.f32 (neg.f32 s) (log1p.f32 (+.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 s s))) (+.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 s s))))))
92.8%
(*.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 3 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))))))) #s(literal 1 binary32))))
92.8%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))))) #s(literal 1 binary32))))
92.9%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
98.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
84.7%
(*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) #s(literal 1 binary32))))
94.9%
(*.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) (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 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))))
98.9%
(*.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) (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 (*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))) #s(literal 3 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 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))))
98.9%
(*.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) (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))))
92.9%
(*.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (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 (+.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) (/.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))))
9.4%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))))
3.3%
(*.f32 (neg.f32 s) (log.f32 (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 (PI.f32) u))) #s(literal 1 binary32))))
14.7%
(*.f32 (neg.f32 s) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) s) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) s))))
97.8%
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
25.8%
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
10.3%
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
11.1%
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
94.4%
(*.f32 s (-.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 u u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))
11.3%
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
11.1%
(neg.f32 (PI.f32))
Compiler

Compiled 7 795 to 2 116 computations (72.9% saved)

regimes142.0ms (0.8%)

Memory
-11.0MiB live, 275.1MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
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(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.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) (/.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 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 3 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) s) (PI.f32)) s)))))))))) #s(literal 1 binary32))))
(*.f32 s (-.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 u u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (log.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #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 (*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))) #s(literal 3 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) (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 (*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (/.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) (/.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 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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 (+.f32 (*.f32 u (+.f32 (/.f32 #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)))))) (/.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) (/.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 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 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 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (/.f32 (PI.f32) s)))))) #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) (/.f32 #s(literal 1 binary32) (exp.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))) (+.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.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) (/.f32 #s(literal 1 binary32) (exp.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) (/.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 #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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Calls

3 calls:

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))))
29.0ms
s
27.0ms
u
Results
AccuracySegmentsBranch
98.9%1u
98.9%1s
98.9%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)

regimes138.0ms (0.8%)

Memory
2.2MiB live, 236.5MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32))) s) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -3 binary32))) #s(literal 0 binary32)) u)) u)))) s))
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(*.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 (/.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 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) (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 (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 (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 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 #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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 (neg.f32 s) (*.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (neg.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 s #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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))))
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 (PI.f32) s)))))) #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))))
25.0ms
u
22.0ms
s
Results
AccuracySegmentsBranch
98.9%1u
98.9%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))))
98.9%1s
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes81.0ms (0.5%)

Memory
32.5MiB live, 198.1MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32))) s) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -3 binary32))) #s(literal 0 binary32)) u)) u)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
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(*.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 (/.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 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) (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 (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 (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 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 s s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 #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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 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 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (*.f32 (neg.f32 s) (*.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (neg.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)))) s))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 s #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
Calls

2 calls:

22.0ms
u
22.0ms
s
Results
AccuracySegmentsBranch
98.4%1u
98.4%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes65.0ms (0.4%)

Memory
-25.6MiB live, 169.2MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32))) s) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -3 binary32))) #s(literal 0 binary32)) u)) u)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
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(-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (+.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -128 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -24 binary32))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 u (+.f32 (*.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))))) s))) s))
(+.f32 (+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -16 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32)) (*.f32 u (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))))))))) #s(literal 0 binary32)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -128 binary32))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -24 binary32)))))) (*.f32 s s)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))))
(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (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))))
(*.f32 (neg.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))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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))))
(*.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (neg.f32 s)) (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))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.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 u (-.f32 (/.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 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (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 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32)) s) (PI.f32)) s)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s 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))))
Outputs
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
Calls

2 calls:

18.0ms
s
18.0ms
u
Results
AccuracySegmentsBranch
97.8%1u
97.8%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.3%)

Memory
0.7MiB live, 116.5MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
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(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -6 binary32) (PI.f32)) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))) #s(literal 16 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -128 binary32) (PI.f32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.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) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32))))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
(-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (+.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -128 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))))) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -24 binary32))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 u (+.f32 (*.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))))) s))) s))
(+.f32 (+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -16 binary32) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32)))) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32))) (*.f32 #s(literal 4 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32)) (*.f32 u (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/48 binary32))))))))) #s(literal 0 binary32)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -128 binary32))) (*.f32 (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -8 binary32))) (*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -24 binary32)))))) (*.f32 s s)))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32))) #s(literal -4 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32))) #s(literal 0 binary32)))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s) (/.f32 (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))) s))) (+.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32)))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s)))))))
(neg.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
Outputs
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
Calls

2 calls:

15.0ms
u
14.0ms
s
Results
AccuracySegmentsBranch
25.8%1u
25.8%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes87.0ms (0.5%)

Memory
4.9MiB live, 77.6MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 s (PI.f32)))
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32)) s))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4 binary32)))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4 binary32))) s) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -3 binary32))) #s(literal 0 binary32)) u)) u)))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) s) #s(literal 0 binary32)) (*.f32 u (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) #s(literal -6 binary32))) #s(literal 0 binary32)))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) s) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) s)) #s(literal 0 binary32))) #s(literal 0 binary32))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) #s(literal -224 binary32)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 192 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) s) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u (*.f32 #s(literal 3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 #s(literal -128 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (+.f32 (*.f32 #s(literal -6 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/12 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 16 binary32)) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))))) (*.f32 (*.f32 #s(literal 192 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) s) s))
(*.f32 (neg.f32 s) (log.f32 #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/2 binary32))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (-.f32 (*.f32 (+.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) #s(literal 16 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -6 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))))) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) #s(literal -128 binary32))) (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32)))) (*.f32 (*.f32 #s(literal -8 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 u #s(literal -1/2 binary32))))))))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 0 binary32)) 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 #s(literal 2 binary32) (/.f32 s (*.f32 (PI.f32) u))) #s(literal 1 binary32))))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 #s(literal -6 binary32) (*.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 -2 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 21 binary32))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
(-.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))) #s(literal 0 binary32)))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/48 binary32))) #s(literal 24 binary32)) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/2 binary32)) (*.f32 u (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 21 binary32))))))) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32))))))))) s))
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
Calls

2 calls:

12.0ms
u
10.0ms
s
Results
AccuracySegmentsBranch
13.8%1s
13.8%1u
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
30.4MiB live, 30.4MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
Outputs
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))
Calls

2 calls:

5.0ms
u
5.0ms
s
Results
AccuracySegmentsBranch
11.3%1u
11.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes49.0ms (0.3%)

Memory
-10.5MiB live, 28.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
Outputs
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
Calls

2 calls:

44.0ms
s
5.0ms
u
Results
AccuracySegmentsBranch
11.3%1u
11.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-12.1MiB live, 27.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.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 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))))
(*.f32 (*.f32 (PI.f32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 s) (PI.f32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 s (PI.f32)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))
Outputs
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
Calls

2 calls:

9.0ms
s
4.0ms
u
Results
AccuracySegmentsBranch
11.1%1s
11.1%1u
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 (neg.f32 s) (PI.f32)) s)
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
Outputs
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
Calls

2 calls:

3.0ms
u
3.0ms
s
Results
AccuracySegmentsBranch
11.1%1s
11.1%1u
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(neg.f32 (PI.f32))
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(/.f32 (neg.f32 s) (/.f32 s (PI.f32)))
Outputs
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
Calls

2 calls:

2.0ms
u
2.0ms
s
Results
AccuracySegmentsBranch
11.1%1s
11.1%1u
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-30.2MiB live, 8.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

9.0ms
s
1.0ms
u
Results
AccuracySegmentsBranch
11.1%1s
11.1%1u
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify18.0ms (0.1%)

Memory
10.9MiB live, 48.4MiB allocated
Algorithm
egg-herbie
Rules
116×*-commutative_binary32
94×+-commutative_binary32
66×sub-neg_binary32
58×neg-mul-1_binary32
54×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080187
1155187
2232187
3317186
4361186
5376186
6379186
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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #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) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (+.f32 (*.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 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(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) (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 (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) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))))
(*.f32 (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 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 -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #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 #s(literal 1 binary32) (+.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))))))) #s(literal -1 binary32))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) u) #s(literal -1 binary32)))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) u) #s(literal 1/4 binary32)))) s))))
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))) s))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (/.f32 (PI.f32) s))
(*.f32 (/.f32 (PI.f32) s) (/.f32 (*.f32 s s) (neg.f32 s)))
(*.f32 (+.f32 (*.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 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 #s(literal 1/2 binary32) u) #s(literal 1/4 binary32))))
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 u #s(literal 1/2 binary32)) #s(literal 1/4 binary32))))
(*.f32 (neg.f32 s) (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))
(*.f32 s (*.f32 (PI.f32) (/.f32 #s(literal -1 binary32) s)))
(/.f32 (*.f32 (PI.f32) (neg.f32 s)) s)
(/.f32 (*.f32 s (neg.f32 (PI.f32))) s)
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s))
(-.f32 #s(literal 0 binary32) (*.f32 s (/.f32 (PI.f32) s)))
(neg.f32 (PI.f32))

soundness1.1s (6.7%)

Memory
-34.3MiB live, 1 393.2MiB allocated
Rules
9 254×accelerator-lowering-fma.f32
9 254×accelerator-lowering-fma.f64
8 578×accelerator-lowering-fma.f32
8 578×accelerator-lowering-fma.f64
8 294×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139215619
1455313248
0841512295
0141417351
1452414073
0903213030
0104210288
134118003
095097512
02199
114299
2131899
0858388
0103593
1700480
27300480
08486454
04725379
114394292
261583848
086253630
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
Compiler

Compiled 534 to 327 computations (38.8% saved)

preprocess77.0ms (0.5%)

Memory
18.3MiB live, 136.0MiB allocated
Compiler

Compiled 456 to 198 computations (56.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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