VandenBroeck and Keller, Equation (20)

Time bar (total: 15.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze246.0ms (1.5%)

Memory
1.2MiB live, 273.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample7.3s (45.8%)

Memory
102.5MiB live, 6 830.7MiB allocated
Samples
2.9s7 110×1invalid
2.7s7 571×1valid
144.0ms157×2valid
82.0ms528×0valid
1.0ms0exit
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 5.1s
ival-div: 1.3s (26.2% of total)
ival-exp: 1.3s (24.6% of total)
ival-mult: 530.0ms (10.4% of total)
adjust: 506.0ms (9.9% of total)
ival-log: 384.0ms (7.5% of total)
ival-neg: 339.0ms (6.6% of total)
ival-pi: 317.0ms (6.2% of total)
ival-add: 214.0ms (4.2% of total)
ival-sub: 185.0ms (3.6% of total)
exact: 18.0ms (0.4% of total)
ival-true: 14.0ms (0.3% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

explain796.0ms (5%)

Memory
-26.9MiB live, 1 319.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
30-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
13(98288312.65140933)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2510
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity40
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))o/o30
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow3
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow3
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
Confusion
Predicted +Predicted -
+2540
-11
Precision
0.996078431372549
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-101
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
01
1252
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
177.0ms478×1valid
6.0ms2valid
4.0ms28×0valid
Compiler

Compiled 825 to 240 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-exp: 34.0ms (22.7% of total)
ival-div: 31.0ms (20.7% of total)
ival-mult: 22.0ms (14.7% of total)
ival-log: 15.0ms (10% of total)
ival-neg: 14.0ms (9.3% of total)
adjust: 13.0ms (8.7% of total)
ival-pi: 9.0ms (6% of total)
ival-sub: 5.0ms (3.3% of total)
ival-add: 5.0ms (3.3% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess380.0ms (2.4%)

Memory
28.3MiB live, 218.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
15364
216364
345864
487864
5120064
6144064
7153764
8177064
9189764
10216152
11248150
12271550
13312650
14376550
15452550
16527350
17648450
18675850
19677050
20747050
01637
02937
15832
213332
327832
440832
551332
660732
774232
885032
9106432
10128832
11142032
12155932
13166532
14187332
15228532
16314232
17466825
18541125
19761725
0844722
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

simplify198.0ms (1.2%)

Memory
-18.4MiB live, 177.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff38144
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016196
029196
158177
2133177
3278177
4408177
5513177
6607177
7742177
8850177
91064177
101288177
111420177
121559177
131665177
141873177
152285177
163142177
174668149
185411149
197617149
08447137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))

localize102.0ms (0.6%)

Memory
35.9MiB live, 190.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy0.4030075195368841
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy0.9765707531524757
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy57.58142962297544
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Samples
75.0ms239×1valid
7.0ms2valid
2.0ms14×0valid
Compiler

Compiled 394 to 34 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 23.0ms (33.4% of total)
ival-log: 10.0ms (14.5% of total)
ival-div: 9.0ms (13.1% of total)
ival-neg: 7.0ms (10.2% of total)
adjust: 6.0ms (8.7% of total)
ival-mult: 6.0ms (8.7% of total)
ival-pi: 3.0ms (4.4% of total)
ival-sub: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (0.8%)

Memory
-27.0MiB live, 179.7MiB allocated
Counts
7 → 21
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
Calls

3 calls:

TimeVariablePointExpression
73.0ms
f
@inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
38.0ms
f
@-inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
10.0ms
f
@0
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))

simplify152.0ms (1%)

Memory
28.0MiB live, 182.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171707
1484581
21754453
37067413
09194395
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/61440 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 f f))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/41287680 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 #s(literal 1/61440 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 f f))) (*.f64 f f))) f)
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(fma.f64 (*.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) f) #s(literal 2 binary64) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(fma.f64 (*.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) f) #s(literal 2 binary64) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite165.0ms (1%)

Memory
-32.2MiB live, 207.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
Stop Event
iter limit
node limit
iter limit
Counts
7 → 556
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (PI.f64) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -1/4 binary64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 1 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)) #s(literal 4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (PI.f64)))

eval179.0ms (1.1%)

Memory
30.4MiB live, 262.8MiB allocated
Compiler

Compiled 37 350 to 4 693 computations (87.4% saved)

prune29.0ms (0.2%)

Memory
-20.1MiB live, 62.6MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New88014894
Fresh000
Picked101
Done000
Total88114895
Accuracy
100.0%
Counts
895 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
98.0%
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
99.3%
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
97.9%
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
97.8%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
99.2%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
99.2%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
99.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 840 to 492 computations (41.4% saved)

simplify88.0ms (0.6%)

Memory
17.2MiB live, 92.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
cost-diff0
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
cost-diff128
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047460
078454
1162437
2390431
3957431
42490391
55053391
08010390
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(fma.f64 (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (PI.f64)) #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))

localize297.0ms (1.9%)

Memory
-21.9MiB live, 375.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.3515625
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
accuracy0.3829698817227567
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
accuracy0.7265448115444642
(PI.f64)
accuracy0.2890625
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
accuracy0.33984375
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.7265448115444642
(PI.f64)
accuracy0.98828125
(sqrt.f64 (PI.f64))
accuracy0.2265625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy0.3515625
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy0.7265448115444642
(PI.f64)
accuracy0.4030075195368841
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy0.44921875
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy0.7265448115444642
(PI.f64)
accuracy0.7676925240800765
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy0.03250753162065376
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.2265625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.32421875
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.7265448115444642
(PI.f64)
Samples
190.0ms239×1valid
51.0ms5exit
5.0ms14×0valid
Compiler

Compiled 898 to 94 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-log: 58.0ms (28.3% of total)
ival-div: 45.0ms (22% of total)
ival-mult: 26.0ms (12.7% of total)
ival-exp: 20.0ms (9.8% of total)
adjust: 12.0ms (5.9% of total)
ival-neg: 10.0ms (4.9% of total)
ival-cosh: 8.0ms (3.9% of total)
ival-tanh: 6.0ms (2.9% of total)
ival-sinh: 5.0ms (2.4% of total)
ival-sub: 4.0ms (2% of total)
ival-pi: 4.0ms (2% of total)
ival-sqrt: 3.0ms (1.5% of total)
ival-add: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series208.0ms (1.3%)

Memory
43.9MiB live, 233.4MiB allocated
Counts
24 → 79
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
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(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(- (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))))
(* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(* -4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
Calls

3 calls:

TimeVariablePointExpression
106.0ms
f
@inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))
77.0ms
f
@-inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))
20.0ms
f
@0
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))))

simplify165.0ms (1%)

Memory
7.5MiB live, 156.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05404865
118413684
279913684
080203420
Stop Event
iter limit
node limit
Counts
79 → 79
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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2
(+ 2 (* 1/16 (* (pow f 2) (pow (PI) 2))))
(+ 2 (* (pow f 2) (+ (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/16 (pow (PI) 2)))))
(+ 2 (* (pow f 2) (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4)))))) (* -1 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ 4 (* f (PI)))
(* -4 (/ (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))
(+ (* -4 (* f (- (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))) (* -4 (/ (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))
(+ (* -4 (/ (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* f (+ (* -4 (- (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI))))))
(+ (* -4 (/ (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* f (+ (* -4 (- (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -2/3 (/ (* f (+ (* -6 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (+ (* 2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(- (* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))))
(* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(* 1/4 (* f (PI)))
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(*.f64 (fma.f64 #s(literal 0 binary64) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f)
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(*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64))) #s(literal -4 binary64))
(* -4 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(*.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal -4 binary64))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))
(+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(* -4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(*.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))

rewrite252.0ms (1.6%)

Memory
5.4MiB live, 288.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047316
078223
1309218
22200217
08969217
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 700
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))) (pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)) (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64))
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(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) f))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (neg.f64 f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))) (PI.f64))
(/.f64 (pow.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal -4 binary64) (*.f64 f (neg.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) f)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) f))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (*.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 f #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))))
(/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 f #s(literal 3 binary64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))) #s(literal -1 binary64)))

eval307.0ms (1.9%)

Memory
6.7MiB live, 495.8MiB allocated
Compiler

Compiled 69 527 to 7 751 computations (88.9% saved)

prune59.0ms (0.4%)

Memory
-27.4MiB live, 154.0MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New2 078202 098
Fresh639
Picked415
Done000
Total2 088242 112
Accuracy
100.0%
Counts
2 112 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.3%
(/.f64 (-.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.3%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.2%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
8.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (PI.f64)))
98.2%
(-.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
97.0%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
99.3%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
96.9%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
99.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
95.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.7%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 361 to 854 computations (37.3% saved)

simplify108.0ms (0.7%)

Memory
10.2MiB live, 126.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff0
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff768
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
cost-diff0
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060446
097436
1207404
2456404
31161404
42777404
55099404
08008404
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(/.f64 #s(literal 4 binary64) f)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) f)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))

localize389.0ms (2.4%)

Memory
5.4MiB live, 278.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.32421875
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.205410009768442
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy0.4069137695368841
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy1.501514348664476
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy2.0
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy0.25
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
accuracy0.31640625
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
accuracy0.4030075195368841
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
accuracy1.4307765033041457
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
accuracy0.03250753162065376
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy0.2265625
(*.f64 (PI.f64) f)
accuracy0.32421875
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy1.4284911001019052
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.2265625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.24609375
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
accuracy0.2890625
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
329.0ms239×1valid
7.0ms2valid
5.0ms14×0valid
Compiler

Compiled 832 to 112 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-div: 54.0ms (23.6% of total)
ival-mult: 37.0ms (16.2% of total)
ival-log: 37.0ms (16.2% of total)
ival-sqrt: 26.0ms (11.4% of total)
ival-pow: 25.0ms (10.9% of total)
ival-exp: 17.0ms (7.4% of total)
adjust: 12.0ms (5.3% of total)
ival-tanh: 5.0ms (2.2% of total)
ival-sub: 4.0ms (1.8% of total)
ival-neg: 4.0ms (1.8% of total)
ival-pi: 3.0ms (1.3% of total)
ival-add: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series335.0ms (2.1%)

Memory
8.9MiB live, 166.7MiB allocated
Counts
26 → 43
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 8 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 2 (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI))))) (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 2/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(- (log (/ 4 (PI))) (log f))
(* f (PI))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
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(/ 4 (* f (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
Calls

3 calls:

TimeVariablePointExpression
153.0ms
f
@0
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (PI) (/ 4 f)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) (/ 4 f))) (* f (* 1/4 (PI))))
111.0ms
f
@inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (PI) (/ 4 f)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) (/ 4 f))) (* f (* 1/4 (PI))))
67.0ms
f
@-inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (PI) (/ 4 f)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) (/ 4 f))) (* f (* 1/4 (PI))))

simplify302.0ms (1.9%)

Memory
-0.8MiB live, 221.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171901
19941501
241211158
096471089
Stop Event
iter limit
node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
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(* 1/4 (* f (PI)))
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(- (log (/ 4 (PI))) (log f))
(* f (PI))
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(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
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(/ 4 (* f (PI)))
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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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rewrite267.0ms (1.7%)

Memory
36.7MiB live, 232.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060344
097246
1357224
21916224
08526224
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 093
Calls
Call 1
Inputs
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(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (PI.f64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
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(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) f))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal -1 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) f))
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (neg.f64 f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 (/.f64 #s(literal 4 binary64) f) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 f #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 f #s(literal -1 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (pow.f64 f #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 f #s(literal -1 binary64)) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) f) #s(literal -1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (*.f64 f #s(literal 1/4 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) f) #s(literal -1 binary64)) (PI.f64))
(/.f64 (pow.f64 f #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 f #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) f) (neg.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal -4 binary64) (*.f64 f (neg.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) f) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (PI.f64) (neg.f64 f))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(neg.f64 (pow.f64 (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) f) (neg.f64 (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 f)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 f #s(literal -1 binary64)) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) f) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (pow.f64 f #s(literal -1 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (neg.f64 f))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 #s(literal -4 binary64) f) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) f)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (pow.f64 (pow.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (pow.f64 f #s(literal -1 binary64)) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (PI.f64) (pow.f64 f #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (log.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (/.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 f (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) f))
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) f))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) f))
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 f #s(literal -1 binary64))))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) f)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -4 binary64) f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64)))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(neg.f64 (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) f))) (/.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) f))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) f)) (/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) #s(literal 1/4 binary64)))

eval269.0ms (1.7%)

Memory
-14.2MiB live, 240.4MiB allocated
Compiler

Compiled 31 879 to 3 352 computations (89.5% saved)

prune67.0ms (0.4%)

Memory
4.2MiB live, 79.8MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New86210872
Fresh41418
Picked325
Done011
Total86927896
Accuracy
100.0%
Counts
896 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
8.0%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.3%
(/.f64 (-.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.2%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
8.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (PI.f64)))
98.2%
(-.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
96.9%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
97.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
99.3%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
96.9%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
99.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
95.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.7%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 f (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 558 to 984 computations (36.8% saved)

simplify128.0ms (0.8%)

Memory
-11.5MiB live, 108.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
cost-diff0
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
cost-diff0
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
cost-diff704
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64))
cost-diff0
(neg.f64 (log.f64 (PI.f64)))
cost-diff0
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff128
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
cost-diff0
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff1984
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074430
0114431
1208409
2459408
31061398
42217354
54963352
08142351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (PI.f64)))
(log.f64 (PI.f64))
(PI.f64)
(log.f64 (*.f64 f #s(literal 1/4 binary64)))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f))
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(log.f64 f)
f
#s(literal -4 binary64)
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal 1/4 binary64) f)))
(neg.f64 (log.f64 (PI.f64)))
(log.f64 (PI.f64))
(PI.f64)
(log.f64 (*.f64 f #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) f))
(*.f64 f #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) f)
f
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(log.f64 f)
f
#s(literal -4 binary64)

localize585.0ms (3.7%)

Memory
-41.2MiB live, 501.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.35775375976844204
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
accuracy0.36328125
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
accuracy1.0
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy1.501514348664476
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
accuracy0
(PI.f64)
accuracy0.24609375
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
accuracy0.4069137695368841
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy1.501514348664476
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy0.34765625
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
accuracy0.45703125
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.501514348664476
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
accuracy0.03250753162065376
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy0.2265625
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
accuracy0.4030075195368841
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy1.4284911001019052
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy0.025358801157537792
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy0.2265625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.25
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.4030075195368841
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
Samples
421.0ms237×1valid
8.0ms2valid
8.0ms16×0valid
Compiler

Compiled 799 to 144 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 371.0ms
ival-div: 122.0ms (32.9% of total)
ival-log: 91.0ms (24.5% of total)
ival-mult: 59.0ms (15.9% of total)
adjust: 20.0ms (5.4% of total)
ival-neg: 20.0ms (5.4% of total)
ival-exp: 17.0ms (4.6% of total)
ival-cosh: 16.0ms (4.3% of total)
ival-sub: 9.0ms (2.4% of total)
ival-add: 5.0ms (1.3% of total)
ival-pi: 3.0ms (0.8% of total)
ival-sqrt: 3.0ms (0.8% of total)
ival-tanh: 3.0ms (0.8% of total)
ival-sinh: 2.0ms (0.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series586.0ms (3.7%)

Memory
38.7MiB live, 713.2MiB allocated
Counts
29 → 67
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (PI.f64)))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
Outputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))))))))))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(- (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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TimeVariablePointExpression
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simplify183.0ms (1.2%)

Memory
14.7MiB live, 280.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04903759
115432822
264142804
080862600
Stop Event
iter limit
node limit
Counts
67 → 67
Calls
Call 1
Inputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))))))))
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(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) (/.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) (PI.f64))) #s(literal -4 binary64))
(- (/ (log 2) (PI)) (+ (* -1 (/ (log (/ 1 f)) (PI))) (/ (log (* 1/2 (PI))) (PI))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))
(/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64))
(* (sqrt (/ 1 (PI))) (+ (log (/ -4 (PI))) (log (/ -1 f))))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(* 4 (/ (+ (log -1/4) (+ (log (PI)) (* -1 (log (/ -1 f))))) (PI)))
(*.f64 (/.f64 (+.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (log.f64 #s(literal -1/4 binary64))) (PI.f64)) #s(literal 4 binary64))
(* -1 (+ (log -1/4) (+ (log (PI)) (* -1 (log (/ -1 f))))))
(neg.f64 (+.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (log.f64 #s(literal -1/4 binary64))))
(* -4 (- (/ (log 2) (PI)) (+ (* -1 (/ (log (/ -1 f)) (PI))) (+ (/ (log -1) (PI)) (/ (log (* 1/2 (PI))) (PI))))))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (PI.f64)))) #s(literal -4 binary64))
(- (/ (log 2) (PI)) (+ (* -1 (/ (log (/ -1 f)) (PI))) (+ (/ (log -1) (PI)) (/ (log (* 1/2 (PI))) (PI)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (PI.f64))))
(/ (+ (log -1) (+ (log (* 1/2 (PI))) (* -1 (log (/ -1 f))))) (PI))
(/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))

rewrite239.0ms (1.5%)

Memory
-31.2MiB live, 334.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074364
0114268
1410257
23178257
08670257
Stop Event
iter limit
node limit
iter limit
Counts
29 → 1 234
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (PI.f64)))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64))) (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(fma.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))
(fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 0 binary64))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (+.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (PI.f64) f))) #s(literal 1 binary64))) (log.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f))) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (PI.f64) f)))) (log.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64))))) (log.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) f))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (log.f64 f) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (log.f64 f) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1 binary64))) (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (log.f64 f) #s(literal 2 binary64)))) (neg.f64 (*.f64 (PI.f64) (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (PI.f64) (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (log.f64 f) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (log.f64 f) #s(literal 2 binary64))) (*.f64 (PI.f64) (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(/.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (*.f64 (PI.f64) (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (neg.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))

eval280.0ms (1.8%)

Memory
17.2MiB live, 492.3MiB allocated
Compiler

Compiled 69 406 to 6 995 computations (89.9% saved)

prune54.0ms (0.3%)

Memory
22.4MiB live, 139.3MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New1 590141 604
Fresh71219
Picked325
Done033
Total1 600311 631
Accuracy
100.0%
Counts
1 631 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
8.0%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.3%
(/.f64 (-.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.2%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
8.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (PI.f64)))
98.2%
(-.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
95.7%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
96.9%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
97.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
97.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
99.3%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
99.3%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.2%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
96.9%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (/.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (PI.f64) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) (PI.f64)) #s(literal -4 binary64)))
97.1%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 f (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 2 825 to 945 computations (66.5% saved)

regimes125.0ms (0.8%)

Memory
-18.9MiB live, 141.6MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 f (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (/.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (PI.f64) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (-.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

16.0ms
f
15.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
15.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
12.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
99.4%1f
99.4%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes47.0ms (0.3%)

Memory
5.1MiB live, 86.9MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
Calls

6 calls:

10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
7.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.6%1f
97.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes36.0ms (0.2%)

Memory
-0.0MiB live, 76.4MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

7.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
f
5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.2%1f
97.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes24.0ms (0.2%)

Memory
-29.1MiB live, 15.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
Calls

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.0%1f
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify42.0ms (0.3%)

Memory
9.8MiB live, 49.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047100
166100
279100
39299
410499
513299
617099
717399
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/48 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

soundness773.0ms (4.9%)

Memory
8.8MiB live, 451.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
060344
097246
1357224
21916224
08526224
05404865
118413684
279913684
080203420
0171707
1484581
21754453
37067413
09194395
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 264 to 128 computations (51.5% saved)

preprocess34.0ms (0.2%)

Memory
21.5MiB live, 59.4MiB allocated
Compiler

Compiled 272 to 126 computations (53.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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