VandenBroeck and Keller, Equation (20)

Time bar (total: 16.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze217.0ms (1.3%)

Memory
-0.4MiB live, 273.1MiB 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)

sample5.9s (36.3%)

Memory
154.3MiB live, 5 926.7MiB allocated
Samples
2.3s7 607×1valid
1.9s7 104×1invalid
291.0ms164×2valid
86.0ms485×0valid
1.0ms0invalid
1.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-exp: 1.3s (32.9% of total)
ival-div: 611.0ms (15.5% of total)
ival-log: 498.0ms (12.6% of total)
ival-mult: 397.0ms (10% of total)
adjust: 373.0ms (9.4% of total)
ival-neg: 238.0ms (6% of total)
ival-pi: 184.0ms (4.7% of total)
ival-sub: 168.0ms (4.2% of total)
ival-add: 150.0ms (3.8% of total)
exact: 16.0ms (0.4% of total)
ival-true: 11.0ms (0.3% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain416.0ms (2.6%)

Memory
-20.8MiB live, 660.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.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)))))
33(1049746.6268319595)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))))cancellation2480
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))))))sensitivity60
/.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 -
+2520
-22
Precision
0.9921259842519685
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-202
Precision?
0.9921259842519685
Recall?
1.0
Freqs
test
numberfreq
02
1251
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
143.0ms460×1valid
6.0ms46×0valid
6.0ms2valid
Compiler

Compiled 434 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-exp: 37.0ms (31.6% of total)
ival-div: 20.0ms (17.1% of total)
ival-mult: 13.0ms (11.1% of total)
adjust: 12.0ms (10.2% of total)
ival-log: 12.0ms (10.2% of total)
ival-neg: 8.0ms (6.8% of total)
ival-pi: 4.0ms (3.4% of total)
ival-sub: 4.0ms (3.4% of total)
ival-add: 4.0ms (3.4% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess433.0ms (2.7%)

Memory
15.0MiB live, 295.0MiB allocated
Algorithm
egg-herbie
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
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 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
Compiler

Compiled 38 to 16 computations (57.9% saved)

eval2.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
-34.6MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.8%
(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 38 to 16 computations (57.9% saved)

simplify260.0ms (1.6%)

Memory
24.3MiB live, 264.1MiB 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-diff13568
(/.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)))))
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
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 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.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 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.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 (PI.f64) #s(literal 1/4 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))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.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 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(+.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 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(-.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 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))

localize105.0ms (0.6%)

Memory
5.5MiB live, 162.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.32778532435149976
(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))))))
accuracy0.37337875976844204
(*.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)))))))
accuracy1.0546957531524757
(/.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)))))
accuracy56.1944117757217
(-.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
69.0ms230×1valid
3.0ms23×0valid
3.0ms2valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 16.0ms (29.8% of total)
ival-div: 8.0ms (14.9% of total)
adjust: 7.0ms (13% of total)
ival-mult: 6.0ms (11.2% of total)
ival-log: 6.0ms (11.2% of total)
ival-neg: 4.0ms (7.4% of total)
ival-pi: 2.0ms (3.7% of total)
ival-sub: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series130.0ms (0.8%)

Memory
-13.9MiB live, 100.8MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (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)))))))) (patch (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)))))))) #<representation binary64>) () ())
#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())
#s(alt (*.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))))))) (patch (*.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))))))) #<representation binary64>) () ())
#s(alt (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)))))) (patch (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)))))) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) (taylor 0 f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
45.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
39.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
34.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

simplify191.0ms (1.2%)

Memory
13.0MiB live, 261.9MiB allocated
Algorithm
egg-herbie
Rules
7 296×lower-fma.f64
7 296×lower-fma.f32
3 266×lower-*.f64
3 266×lower-*.f32
1 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901850
15531668
221211484
090711459
Stop Event
iter limit
node limit
Counts
60 → 60
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)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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 (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* 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))))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(-.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (*.f64 f (*.f64 f #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* 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))))))))))) (* 1/2 (+ (* -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))))))))))))
(-.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (*.f64 f (*.f64 f #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))

rewrite233.0ms (1.4%)

Memory
-9.7MiB live, 268.2MiB allocated
Rules
5 070×lower-*.f32
5 066×lower-*.f64
3 230×lower-fma.f64
3 230×lower-fma.f32
3 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016154
029100
111952
278352
0856152
Stop Event
iter limit
node limit
iter limit
Counts
7 → 561
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)))))))
(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
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(/.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) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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))) (fma.f64 (log.f64 (*.f64 (cosh.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 (*.f64 (sinh.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 (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 (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)) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (cosh.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)))) (*.f64 (log.f64 (*.f64 (sinh.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 (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 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.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) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.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 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.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)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))))

eval144.0ms (0.9%)

Memory
-8.0MiB live, 225.4MiB allocated
Compiler

Compiled 32 226 to 3 624 computations (88.8% saved)

prune171.0ms (1.1%)

Memory
16.7MiB live, 212.1MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New76619785
Fresh000
Picked101
Done000
Total76719786
Accuracy
99.5%
Counts
786 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
97.9%
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
99.1%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
99.0%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
98.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
8.4%
(neg.f64 (/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 4 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (PI.f64))))
98.0%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
98.7%
(neg.f64 (/.f64 (*.f64 (neg.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))))
98.8%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 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 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
97.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
98.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (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))))))))
98.9%
(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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.7%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.0%
(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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
96.1%
#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 896 to 578 computations (35.5% saved)

simplify268.0ms (1.6%)

Memory
8.1MiB live, 159.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff128
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
cost-diff896
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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)))))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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))))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff1280
(/.f64 #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))))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
cost-diff0
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Rules
3 178×lower-fma.f32
3 176×lower-fma.f64
2 538×lower-*.f32
2 520×lower-*.f64
1 410×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
048491
080468
1178448
2441437
31162437
42855437
54412397
66008397
77192397
08042397
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(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))
(PI.f64)
#s(literal 1/4 binary64)
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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.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)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(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)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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 #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)
(/.f64 #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 #s(literal 1 binary64) (neg.f64 (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))))
(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
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal -4 binary64) (PI.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 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 2 binary64)
(cosh.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
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.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 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.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 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 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 4 binary64) (*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.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 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.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)
(/.f64 #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))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (PI.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))))
(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.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))))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))

localize612.0ms (3.8%)

Memory
-24.6MiB live, 394.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28515625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.387382519536884
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.9335972731486755
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
accuracy0.28515625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.3273901982857469
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.37337875976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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)))))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.25390625
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.28515625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.3273901982857469
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.4843632076963094
(PI.f64)
accuracy0.32778532435149976
(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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy0.37337875976844204
(*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
accuracy0.4843632076963094
(PI.f64)
accuracy1.686952199522371
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy0.2578125
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.28515625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.3273901982857469
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.4843632076963094
(PI.f64)
Samples
327.0ms232×1valid
150.0ms21×0valid
33.0ms5exit
4.0ms3valid
Compiler

Compiled 462 to 48 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 426.0ms
ival-div: 102.0ms (23.9% of total)
ival-log: 99.0ms (23.2% of total)
ival-mult: 97.0ms (22.8% of total)
ival-sinh: 48.0ms (11.3% of total)
ival-neg: 29.0ms (6.8% of total)
ival-exp: 18.0ms (4.2% of total)
adjust: 12.0ms (2.8% of total)
ival-cosh: 7.0ms (1.6% of total)
ival-tanh: 5.0ms (1.2% of total)
ival-add: 4.0ms (0.9% of total)
ival-sub: 2.0ms (0.5% of total)
ival-pi: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series412.0ms (2.5%)

Memory
41.7MiB live, 260.0MiB allocated
Counts
20 → 192
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) (patch (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal -4 binary64) (PI.f64)) (patch (/.f64 #s(literal -4 binary64) (PI.f64)) #<representation binary64>) () ())
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Outputs
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#s(alt (* 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))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 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))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 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))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
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Calls

48 calls:

TimeVariablePointExpression
113.0ms
f
@-inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
85.0ms
f
@-inf
(+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f)))))))
69.0ms
f
@inf
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
61.0ms
f
@inf
(+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f)))))))
29.0ms
f
@0
(+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f)))))))

simplify297.0ms (1.8%)

Memory
1.8MiB live, 475.3MiB allocated
Algorithm
egg-herbie
Rules
14 022×lower-fma.f64
14 022×lower-fma.f32
6 254×lower-*.f64
6 254×lower-*.f32
2 322×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04417647
114516459
264836421
080366168
Stop Event
iter limit
node limit
Counts
192 → 192
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))))
(+ (* 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 (/ (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 (/ (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 (/ (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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(* 4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (PI.f64))
(* 4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (PI.f64))
(* 4 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (PI.f64))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ (+ (* 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 (fma.f64 f #s(literal 0 binary64) (/.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 f (fma.f64 f (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (/.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 f (fma.f64 f (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 f #s(literal 0 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* 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))))))))
(fma.f64 f (*.f64 (PI.f64) #s(literal 0 binary64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
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(log (/ (+ (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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(log (/ (+ (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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(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))

rewrite476.0ms (2.9%)

Memory
-1.0MiB live, 868.9MiB allocated
Rules
4 538×lower-/.f32
4 520×lower-/.f64
3 784×lower-*.f32
3 766×lower-*.f64
2 938×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048326
080206
1311197
21937197
08457197
Stop Event
iter limit
node limit
iter limit
Counts
20 → 2 294
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(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 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.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))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
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(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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)))))))
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(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal -4 binary64) (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (PI.f64)))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #s(literal -2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #s(literal -2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (cbrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (PI.f64)))
(*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))
(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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f)))))
(*.f64 #s(literal 1 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64))

eval752.0ms (4.6%)

Memory
48.1MiB live, 947.5MiB allocated
Compiler

Compiled 113 225 to 7 599 computations (93.3% saved)

prune322.0ms (2%)

Memory
-21.6MiB live, 631.9MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New3 626193 645
Fresh9514
Picked505
Done000
Total3 640243 664
Accuracy
100.0%
Counts
3 664 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
10.6%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
99.1%
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
97.8%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
97.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))))
96.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
98.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.0%
(*.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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
99.0%
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
98.7%
(neg.f64 (/.f64 (*.f64 (neg.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))))
96.1%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
95.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
94.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
98.9%
(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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.7%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
96.7%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))))
95.7%
#s(approx (+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f))))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 #s(literal 2 binary64))) (PI.f64))))
96.1%
#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 938 to 678 computations (27.7% saved)

simplify189.0ms (1.2%)

Memory
-15.0MiB live, 214.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff256
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
cost-diff576
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
cost-diff7232
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f 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 (*.f64 (PI.f64) #s(literal 1/4 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-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff320
(*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))
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
(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
cost-diff0
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
Rules
10 320×lower-fma.f32
10 316×lower-fma.f64
3 424×lower-+.f32
3 418×lower-+.f64
3 128×lower-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065696
0111606
1259542
2628507
31666482
43477404
08426404
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.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 (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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
#s(literal 1/16 binary64)
(+.f64 (PI.f64) (PI.f64))
(*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 2 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (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
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
(exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))
(+.f64 f f)
f
(expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))
Outputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 (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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.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 (PI.f64) #s(literal 1/4 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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(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 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/16 binary64)
(+.f64 (PI.f64) (PI.f64))
(*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))
(*.f64 (PI.f64) #s(literal -1/24 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.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 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))
(exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(+.f64 f f)
f
(expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))
(expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))

localize454.0ms (2.8%)

Memory
32.2MiB live, 583.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28515625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))
accuracy0.32778532435149976
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5390652510508251
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
accuracy0.30859375
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.32778532435149976
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.37337875976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.68359375
(*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))))
accuracy0.9921875
(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
accuracy0.9921875
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
accuracy1.1643982056486049
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy0.28515625
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.32739019828574684
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.4843632076963094
(PI.f64)
accuracy1.69348257212542
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.2890625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
accuracy0.30859375
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
accuracy0.32739019828574684
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
accuracy0.4843632076963094
(PI.f64)
Samples
277.0ms231×1valid
61.0ms5exit
10.0ms22×0valid
8.0ms3valid
Compiler

Compiled 602 to 62 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
ival-div: 89.0ms (29.1% of total)
ival-log: 76.0ms (24.9% of total)
ival-mult: 46.0ms (15.1% of total)
ival-exp: 27.0ms (8.8% of total)
ival-add: 19.0ms (6.2% of total)
adjust: 18.0ms (5.9% of total)
ival-tanh: 9.0ms (2.9% of total)
ival-neg: 8.0ms (2.6% of total)
ival-expm1: 5.0ms (1.6% of total)
const: 4.0ms (1.3% of total)
ival-pi: 2.0ms (0.7% of total)
ival-sub: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (1.3%)

Memory
-2.0MiB live, 310.4MiB allocated
Counts
25 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))) (patch (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)) (patch (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (patch (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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))) (patch (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) (patch (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (patch (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
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#s(alt (* 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))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* f (- (* -1 (* f (+ (* -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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
97.0ms
f
@inf
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
25.0ms
f
@-inf
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
22.0ms
f
@-inf
(/ 1 (/ (* (PI) 1/4) (neg (log (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1))))))
22.0ms
f
@inf
(/ 1 (/ (* (PI) 1/4) (neg (log (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1))))))
2.0ms
f
@0
(log (/ 1 (tanh (* (* (PI) 1/4) f))))

simplify469.0ms (2.9%)

Memory
-99.8MiB live, 353.6MiB allocated
Algorithm
egg-herbie
Rules
7 100×lower-fma.f64
7 100×lower-fma.f32
5 238×lower-*.f64
5 238×lower-*.f32
2 108×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227918
113336817
256185864
086015611
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 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))))))))
(/ (- (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)))))))
(/ (- (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)))))))
(/ (- (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)))))))
(/ (- (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 f) (log (* 1/4 (PI)))) (PI)))
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(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 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))))))))
(* 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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (* f (PI)))
(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -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))))))) (+ (* -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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (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)))))))
(/ (+ (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)))))))
(/ (+ (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)))))))
(/ (+ (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)))))))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
Outputs
(* 1/4 (* f (PI)))
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(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
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(* 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))))))))
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
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(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(+ (* 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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(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)
(/ (+ (* f (- (* -1 (* f (+ (* -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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (*.f64 f (*.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -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))))))) (+ (* -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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/192 binary64)))) (fma.f64 #s(literal -1/3072 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64)))) (*.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (neg.f64 f) (*.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) (*.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))

rewrite174.0ms (1.1%)

Memory
-8.3MiB live, 280.8MiB allocated
Rules
1 746×lower-fma.f32
1 742×lower-fma.f64
1 522×lower-*.f32
1 498×lower-*.f64
1 138×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062341
0105232
1439184
03207181
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 1 363
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
(PI.f64)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))
Outputs
(+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (+.f64 (PI.f64) (PI.f64))))
(expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))))) (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (+.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (-.f64 (exp.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
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(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/96 binary64))
(*.f64 #s(literal 1/192 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 #s(literal 2 binary64) f)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(*.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (+.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))))
(*.f64 #s(literal 1/96 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) f)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) f)
(*.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval449.0ms (2.8%)

Memory
24.5MiB live, 645.7MiB allocated
Compiler

Compiled 64 609 to 11 786 computations (81.8% saved)

prune346.0ms (2.1%)

Memory
15.6MiB live, 448.4MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New2 230132 243
Fresh51419
Picked415
Done000
Total2 239282 267
Accuracy
100.0%
Counts
2 267 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
10.6%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
1.6%
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
97.8%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
97.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.0%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
95.5%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
98.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
96.0%
(*.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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
99.0%
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
98.7%
(neg.f64 (/.f64 (*.f64 (neg.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))))
98.9%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
95.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
96.3%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.1%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
97.5%
(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 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.7%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))))
95.7%
#s(approx (+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f))))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 #s(literal 2 binary64))) (PI.f64))))
96.1%
#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 1 000 to 722 computations (27.8% saved)

simplify169.0ms (1%)

Memory
20.4MiB live, 130.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
cost-diff0
(log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))))
cost-diff0
(*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
cost-diff0
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff1600
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) 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 (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
cost-diff128
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
cost-diff320
(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff640
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
cost-diff768
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))
Rules
5 232×lower-fma.f64
5 232×lower-fma.f32
3 834×lower-*.f32
3 810×lower-*.f64
1 968×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044356
080332
1187315
2492285
33191285
46723285
08091285
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
#s(literal -4 binary64)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
f
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))))
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(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))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
Outputs
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(*.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
#s(literal -4 binary64)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
f
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))))
(log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))))
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))

localize210.0ms (1.3%)

Memory
-28.3MiB live, 139.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2890625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.32739019828574684
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0
(*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
accuracy0
(log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))))
accuracy0
(PI.f64)
accuracy1.0
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
accuracy0.32739019828574684
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
accuracy0.367851269536884
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.1353174510840964
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
accuracy0.2890625
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy0.32739019828574684
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
accuracy0.37337875976844204
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
accuracy2.1353174510840964
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
accuracy0.2890625
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy0.31640625
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
accuracy0.32739019828574684
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
accuracy0.43978500976844204
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))
Samples
121.0ms252×0valid
22.0ms2valid
1.0ms1valid
Compiler

Compiled 318 to 38 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 69.0ms (68.3% of total)
ival-log: 11.0ms (10.9% of total)
ival-div: 7.0ms (6.9% of total)
ival-tanh: 3.0ms (3% of total)
ival-expm1: 3.0ms (3% of total)
ival-neg: 2.0ms (2% of total)
ival-sqrt: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
25 → 192
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (PI.f64)) (patch (*.f64 #s(literal 0 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))) (patch (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64)) (patch (/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (patch (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) (patch (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (+.f64 (PI.f64) (PI.f64))) (patch (expm1.f64 (+.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (patch (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())
Outputs
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#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
4.0ms
f
@0
(* (* (PI) 1/4) (* -4 (neg (log (tanh (* (PI) (* 1/4 f)))))))
0.0ms
f
@inf
(* (* (PI) 1/4) (* -4 (neg (log (tanh (* (PI) (* 1/4 f)))))))
0.0ms
f
@-inf
(* (* (PI) 1/4) (* -4 (neg (log (tanh (* (PI) (* 1/4 f)))))))
0.0ms
f
@0
(/ (- (* 0 (PI)) (* (* (PI) 1/4) (* -4 (neg (log (tanh (* (PI) (* 1/4 f)))))))) (* (* (PI) 1/4) (PI)))
0.0ms
f
@0
(* (/ 4 (PI)) (log (tanh (* (* (PI) 1/4) f))))

simplify408.0ms (2.5%)

Memory
-4.6MiB live, 275.6MiB allocated
Algorithm
egg-herbie
Rules
10 912×lower-fma.f64
10 912×lower-fma.f32
6 134×lower-+.f64
6 134×lower-+.f32
4 446×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02036932
16675842
228345056
091484894
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -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))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* -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))))))
(+ (* -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 (/ (+ (* -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))) (* -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))))))))
(* -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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* (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 (* (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))))))) (* 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)))) (* f (+ (* 1/6 (* f (* (PI) (+ (* -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 (* (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)))))))))) (* (PI) (+ (log f) (log (* 1/4 (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)))))))))
(* (PI) (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)))))))))
(* (PI) (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)))))))))
(* (PI) (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)))))))))
(* (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 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 (- (* 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))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* -4 (/ (+ (log f) (log (* 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)))
(* 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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (+ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 f) (log (* 1/4 (PI))))
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(*.f64 f (fma.f64 (fma.f64 f (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3072 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (fma.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64)))) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))

rewrite85.0ms (0.5%)

Memory
-7.5MiB live, 70.0MiB allocated
Rules
932×lower-*.f32
908×lower-*.f64
700×lower-/.f32
690×lower-/.f64
310×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044252
080222
1275211
01546211
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 407
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 #s(literal 0 binary64) (PI.f64))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64))))
(expm1.f64 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(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))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 4 binary64))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (log1p.f64 (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) (log1p.f64 (exp.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (*.f64 f (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (*.f64 f (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))

eval205.0ms (1.3%)

Memory
17.0MiB live, 171.1MiB allocated
Compiler

Compiled 21 688 to 2 550 computations (88.2% saved)

prune390.0ms (2.4%)

Memory
-24.9MiB live, 293.8MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New9616967
Fresh51722
Picked145
Done011
Total96728995
Accuracy
100.0%
Counts
995 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.6%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
10.6%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
1.6%
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
97.8%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
97.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.5%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
96.2%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
94.7%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
98.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
96.0%
(*.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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
99.0%
(*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
99.0%
(*.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
10.6%
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
98.9%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
95.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
96.3%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.1%
(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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
97.5%
(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 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.7%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))))
Compiler

Compiled 1 728 to 699 computations (59.5% saved)

regimes176.0ms (1.1%)

Memory
-6.3MiB live, 119.2MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2 binary64) (*.f64 f (*.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 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))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 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 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.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 (/.f64 #s(literal 1 binary64) (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))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.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))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #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))))))))
(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 (/.f64 #s(literal 1 binary64) (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))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
#s(approx (+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f))))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 #s(literal 2 binary64))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(fma.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 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -4 binary64) (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (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 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.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 (/.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))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 4 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 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 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

44.0ms
(/.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)))))
32.0ms
(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))))))))
15.0ms
f
15.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms
(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))))))
Results
AccuracySegmentsBranch
99.1%1f
99.1%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))))))))
99.1%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)))))))
99.1%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))))))
99.1%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)))))
99.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes43.0ms (0.3%)

Memory
6.9MiB live, 89.3MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2 binary64) (*.f64 f (*.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 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))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Calls

6 calls:

9.0ms
f
8.0ms
(*.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)))))))
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
(/.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)))))
6.0ms
(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))))))))
Results
AccuracySegmentsBranch
98.9%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)))))))
98.9%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))))))
98.9%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)))))
98.9%1f
98.9%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))))))))
98.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes39.0ms (0.2%)

Memory
13.5MiB live, 89.6MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2 binary64) (*.f64 f (*.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.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 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
Calls

6 calls:

7.0ms
(/.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)))))
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
6.0ms
(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))))))
Results
AccuracySegmentsBranch
96.8%1f
96.8%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))))))))
96.8%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)))))))
96.8%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))))))
96.8%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)))))
96.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes37.0ms (0.2%)

Memory
-42.1MiB live, 61.4MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

15.0ms
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 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
(*.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)))))))
4.0ms
(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))))))
Results
AccuracySegmentsBranch
96.2%1f
96.2%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))))))))
96.2%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)))))))
96.2%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))))))
96.2%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)))))
96.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes21.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.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)))))))
3.0ms
(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))))))))
3.0ms
(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))))))
Results
AccuracySegmentsBranch
96.2%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))))))))
96.2%1f
96.2%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)))))))
96.2%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))))))
96.2%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)))))
96.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes8.0ms (0%)

Memory
7.4MiB live, 7.4MiB 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 (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
Calls

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
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)))))))
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
(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
96.0%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))))))))
96.0%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)))))))
96.0%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))))))
96.0%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)))))
96.0%1f
96.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify9.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Rules
40×neg-mul-1_binary64
36×*-commutative_binary64
26×unsub-neg_binary64
16×distribute-lft-neg-in_binary64
16×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049119
168119
276119
391119
4102118
5112118
6141118
7179118
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 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 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (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))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ 1 (exp (* (* (PI) 1/4) (+ f f)))) (- (exp (* (* (PI) 1/4) (+ f f))) 1)) (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))

soundness758.0ms (4.7%)

Memory
28.4MiB live, 762.2MiB allocated
Rules
14 022×lower-fma.f64
14 022×lower-fma.f32
7 100×lower-fma.f64
7 100×lower-fma.f32
6 254×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04417647
114516459
264836421
080366168
04227918
113336817
256185864
086015611
062341
0105232
1439184
03207181
016154
029100
111952
278352
0856152
048326
080206
1311197
21937197
08457197
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 411 to 197 computations (52.1% saved)

preprocess65.0ms (0.4%)

Memory
-5.4MiB live, 151.0MiB allocated
Compiler

Compiled 236 to 96 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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